TL;DR: This work proposes a fully functional identity-based encryption scheme (IBE) based on the Weil pairing that has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational Diffie-Hellman problem.
Abstract: We propose a fully functional identity-based encryption scheme (IBE). The scheme has chosen ciphertext security in the random oracle model assuming an elliptic curve variant of the computational Diffie-Hellman problem. Our system is based on the Weil pairing. We give precise definitions for secure identity based encryption schemes and give several applications for such systems.
TL;DR: The notion of universally composable security was introduced in this paper for defining security of cryptographic protocols, which guarantees security even when a secure protocol is composed of an arbitrary set of protocols, or more generally when the protocol is used as a component of a system.
Abstract: We propose a novel paradigm for defining security of cryptographic protocols, called universally composable security. The salient property of universally composable definitions of security is that they guarantee security even when a secure protocol is composed of an arbitrary set of protocols, or more generally when the protocol is used as a component of an arbitrary system. This is an essential property for maintaining security of cryptographic protocols in complex and unpredictable environments such as the Internet. In particular, universally composable definitions guarantee security even when an unbounded number of protocol instances are executed concurrently in an adversarially controlled manner, they guarantee non-malleability with respect to arbitrary protocols, and more. We show how to formulate universally composable definitions of security for practically any cryptographic task. Furthermore, we demonstrate that practically any such definition can be realized using known techniques, as long as only a minority of the participants are corrupted. We then proceed to formulate universally composable definitions of a wide array of cryptographic tasks, including authenticated and secure communication, key-exchange, public-key encryption, signature, commitment, oblivious transfer, zero knowledge and more. We also make initial steps towards studying the realizability of the proposed definitions in various settings.
TL;DR: In this paper, the authors present a list of figures in the context of digital signatures and message authentication for general cryptographic protocols, including encryption, digital signatures, message authentication, and digital signatures.
Abstract: List of figures Preface Acknowledgements 5. Encryption schemes 6. Digital signatures and message authentication 7. General cryptographic protocols Appendix C: corrections and additions to volume I Bibliography Index.
TL;DR: A new construction of ring signatures is proposed, which is unconditionally signer-ambiguous, provably secure in the random oracle model, and exceptionally efficient: adding each ring member increases the cost of signing or verifying by a single modular multiplication and a single symmetric encryption.
Abstract: In this paper we formalize the notion of a ring signature, which makes it possible to specify a set of possible signers without revealing which member actually produced the signature. Unlike group signatures, ring signatures have no group managers, no setup procedures, no revocation procedures, and no coordination: any user can choose any set of possible signers that includes himself, and sign any message by using his secret key and the others' public keys, without getting their approval or assistance. Ring signatures provide an elegant way to leak authoritative secrets in an anonymous way, to sign casual email in a way which can only be verified by its intended recipient, and to solve other problems in multiparty computations. The main contribution of this paper is a new construction of such signatures which is unconditionally signer-ambiguous, provably secure in the random oracle model, and exceptionally efficient: adding each ring member increases the cost of signing or verifying by a single modular multiplication and a single symmetric encryption.
TL;DR: This paper proposes a practical anonymous credential system that is based on the strong RSA assumption and the decisional Diffie-Hellman assumption modulo a safe prime product and is considerably superior to existing ones.
Abstract: A credential system is a system in which users can obtain credentials from organizations and demonstrate possession of these credentials. Such a system is anonymous when transactions carried out by the same user cannot be linked. An anonymous credential system is of significant practical relevance because it is the best means of providing privacy for users. In this paper we propose a practical anonymous credential system that is based on the strong RSA assumption and the decisional Diffie-Hellman assumption modulo a safe prime product and is considerably superior to existing ones: (1) We give the first practical solution that allows a user to unlinkably demonstrate possession of a credential as many times as necessary without involving the issuing organization. (2) To prevent misuse of anonymity, our scheme is the first to offer optional anonymity revocation for particular transactions. (3) Our scheme offers separability: all organizations can choose their cryptographic keys independently of each other. Moreover, we suggest more effective means of preventing users from sharing their credentials, by introducing all-or-nothing sharing: a user who allows a friend to use one of her credentials once, gives him the ability to use all of her credentials, i.e., taking over her identity. This is implemented by a new primitive, called circular encryption, which is of independent interest, and can be realized from any semantically secure cryptosystem in the random oracle model.
TL;DR: In this paper, the Subset-Cover framework is proposed for the stateless receiver case, where the users do not (necessarily) update their state from session to session, and sufficient conditions that guarantee the security of a revocation algorithm in this class are provided.
Abstract: We deal with the problem of a center sending a message to a group of users such that some subset of the users is considered revoked and should not be able to obtain the content of the message. We concentrate on the stateless receiver case, where the users do not (necessarily) update their state from session to session. We present a framework called the Subset-Cover framework, which abstracts a variety of revocation schemes including some previously known ones. We provide sufficient conditions that guarantees the security of a revocation algorithm in this class.
We describe two explicit Subset-Cover revocation algorithms; these algorithms are very flexible and work for any number of revoked users. The schemes require storage at the receiver of log N and 1/2 log2 N keys respectively (N is the total number of users), and in order to revoke r users the required message lengths are of r log N and 2r keys respectively. We also provide a general traitor tracing mechanism that can be integrated with any Subset-Cover revocation scheme that satisfies a "bifurcation property". This mechanism does not need an a priori bound on the number of traitors and does not expand the message length by much compared to the revocation of the same set of traitors.
The main improvements of these methods over previously suggested methods, when adopted to the stateless scenario, are: (1) reducing the message length to O(r) regardless of the coalition size while maintaining a single decryption at the user's end (2) provide a seamless integration between the revocation and tracing so that the tracing mechanisms does not require any change to the revocation algorithm.
TL;DR: A novel public key cryptosystem in which the public key of a subscriber can be chosen to be a publicly known value, such as his identity, which is related to the difficulty of solving the quadratic residuosity problem.
Abstract: We present a novel public key cryptosystem in which the public key of a subscriber can be chosen to be a publicly known value, such as his identity. We discuss the security of the proposed scheme, and show that this is related to the difficulty of solving the quadratic residuosity problem.
TL;DR: A generalisation of Paillier's probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without loosing the homomorphic property is proposed.
Abstract: We propose a generalisation of Paillier's probabilistic public key system, in which the expansion factor is reduced and which allows to adjust the block length of the scheme even after the public key has been fixed, without loosing the homomorphic property. We show that the generalisation is as secure as Paillier's original system.
We construct a threshold variant of the generalised scheme as well as zero-knowledge protocols to show that a given ciphertext encrypts one of a set of given plaintexts, and protocols to verify multiplicative relations on plaintexts.
We then show how these building blocks can be used for applying the scheme to efficient electronic voting.This reduces dramatically the work needed to compute the final result of an election, compared to the previously best known schemes.W e show how the basic scheme for a yes/no vote can be easily adapted to casting a vote for up to t out of L candidates. The same basic building blocks can also be adapted to provide receipt-free elections, under appropriate physical assumptions. The scheme for 1 out of L elections can be optimised such that for a certain range of parameter values, a ballot has size only O(log L) bits.
TL;DR: It is shown that RC4 is completely insecure in a common mode of operation which is used in the widely deployed Wired Equivalent Privacy protocol (WEP, which is part of the 802.11 standard), in which a fixed secret key is concatenated with known IV modifiers in order to encrypt different messages.
Abstract: In this paper we present several weaknesses in the key scheduling algorithm of RC4, and describe their cryptanalytic significance. We identify a large number of weak keys, in which knowledge of a small number of key bits suffices to determine many state and output bits with non-negligible probability. We use these weak keys to construct new distinguishers for RC4, and to mount related key attacks with practical complexities. Finally, we show that RC4 is completely insecure in a common mode of operation which is used in the widely deployed Wired Equivalent Privacy protocol (WEP, which is part of the 802.11 standard), in which a fixed secret key is concatenated with known IV modifiers in order to encrypt different messages. Our new passive ciphertext-only attack on this mode can recover an arbitrarily long key in a negligible amount of time which grows only linearly with its size, both for 24 and 128 bit IV modifiers.
TL;DR: In this paper, a distributed storage system and a compiler is used to reconstruct plaintext based on security clearance for the community of the inquiring party. But full or partial plaintext reconstruction is permitted only in the presence of assigned security clearance.
Abstract: Data is secured in a computer network to transparently establish and manage a separation of user-based communities of interest based upon crypto-graphically separated, need to know, security levels. Data from a source document, data object or data stream is filtered to form subsets of extracted data and remainder data based upon security levels for the communities. Extracts are stored in assigned memories. Full or partial plaintext reconstruction is permitted only in the presence of assigned security clearance for the community of the inquiring party. Encryption, corresponding to security levels, establishes separation of secured data. The information processing system uses a data filter to extract security sensitive words, data objects, etc., a distributed storage system and a compiler is used to reconstruct plaintext based on security clearance. Multiple level encryption in one document is also available.
TL;DR: Compact and high-speed hardware architectures and logic optimization methods for the AES algorithm Rijndael are described, including a new composite field and the S-Box structure is also optimized.
Abstract: Compact and high-speed hardware architectures and logic optimization methods for the AES algorithm Rijndael are described. Encryption and decryption data paths are combined and all arithmetic components are reused. By introducing a new composite field, the S-Box structure is also optimized. An extremely small size of 5.4 Kgates is obtained for a 128-bit key Rijndael circuit using a 0.11-µm CMOS standard cell library. It requires only 0.052 mm2 of area to support both encryption and decryption with 311 Mbps throughput. By making effective use of the SPN parallel feature, the throughput can be boosted up to 2.6 Gbps for a high-speed implementation whose size is 21.3 Kgates.
TL;DR: A new public-key encryption scheme, along with several variants, is proposed and analyzed that appear to be the first public- key encryption schemes in the literature that are simultaneously practical and provably secure.
Abstract: A new public key encryption scheme, along with several variants, is proposed and analyzed. The scheme and its variants are quite practical, and are proved secure against adaptive chosen ciphertext attack under standard intractability assumptions. These appear to be the rst publickey encryption schemes in the literature that are simultaneously practical and provably secure.
TL;DR: It is proved OCB secure, quantifying the adversary's ability to violate the mode's privacy or authenticity in terms of the quality of its block cipher as a pseudorandom permutation (PRP) or as a strong PRP, respectively.
Abstract: We describe a parallelizable block-cipher mode of operation that simultaneously provides privacy and authenticity. OCB encrypts-and-authenticates a nonempty string M e {0,1} using \lceil |M|/n\rceil + 2 block-cipher invocations, where n is the block length of the underlying block cipher. Additional overhead is small. OCB refines a scheme, IAPM, suggested by Charanjit Jutla. Desirable properties of OCB include: the ability to encrypt a bit string of arbitrary length into a ciphertext of minimal length; cheap offset calculations; cheap session setup; a single underlying cryptographic key; no extended-precision addition; a nearly optimal number of block-cipher calls; and no requirement for a random IV. We prove OCB secure, quantifying the adversary's ability to violate the mode's privacy or authenticity in terms of the quality of its block cipher as a pseudorandom permutation (PRP) or as a strong PRP, respectively.
TL;DR: In this article, the authors present systems and techniques for controlling and managing digital assets, particularly useful when digital assets are transmitted electronically using, for example, the Internet, as these techniques serve to make the Internet secure for communication and control of digital assets.
Abstract: Systems and techniques are provided for controlling and managing digital assets. These systems and techniques are particularly useful when digital assets are transmitted electronically using, for example, the Internet, as these techniques serve to make the Internet secure for communication and control of digital assets. In addition, they permit dynamic control and management of digital assets, regardless of where the assets reside. Use of these systems and techniques promises to enable new, Internet-based distribution models, and to provide superior insight with respect to the use and status of digital assets. Particular implementations of the systems and techniques permit features such as lifetime control of digital content, multi-level control of digital content (including session encryption, asset encryption, and remote management), and try-before-you buy marketing approaches. They also support functions such as digital rights transfer, tracking, segmentation, archiving, and improved handling of upgrades and updates.
TL;DR: It is proved that the El Gamal scheme provides anonymity under chosen-plaintext attack assuming the Decision Diffie-Hellman problem is hard and that the Cramer-Shoup scheme providing anonymity under choosing-ciphertext attack under the same assumption.
Abstract: We consider a novel security requirement of encryption schemes that we call "key-privacy" or "anonymity". It asks that an eavesdropper in possession of a ciphertext not be able to tell which specific key, out of a set of known public keys, is the one under which the ciphertext was created, meaning the receiver is anonymous from the point of view of the adversary. We investigate the anonymity of known encryption schemes. We prove that the El Gamal scheme provides anonymity under chosen-plaintext attack assuming the Decision Diffie-Hellman problem is hard and that the Cramer-Shoup scheme provides anonymity under chosen-ciphertext attack under the same assumption. We also consider anonymity for trapdoor permutations. Known attacks indicate that the RSA trapdoor permutation is not anonymous and neither are the standard encryption schemes based on it. We provide a variant of RSA-OAEP that provides anonymity in the random oracle model assuming RSA is one-way. We also give constructions of anonymous trapdoor permutations, assuming RSA is one-way, which yield anonymous encryption schemes in the standard model.
TL;DR: In this paper, natural assumptions under which DHIES achieves security under chosen-ciphertext attack are found and the assumptions made about the Diffie-Hellman problem are investigated, and they provide security lower bounds.
Abstract: This paper provides security analysis for the public-key encryption scheme DHIES (formerly named DHES and DHAES), which was proposed in [7] and is now in several draft standards. DHIES is a Diffie-Hellman based scheme that combines a symmetric encryption method, a message authentication code, and a hash function, in addition to number-theoretic operations, in a way which is intended to provide security against chosen-ciphertext attacks. In this paper we find natural assumptions under which DHIES achieves security under chosen-ciphertext attack. The assumptions we make about the Diffie-Hellman problem are interesting variants of the customary ones, and we investigate relationships among them, and provide security lower bounds. Our proofs are in the standard model; no random-oracle assumption is required.
TL;DR: As privacy concerns continue to develop along with the digital communication domain, steganography will undoubtedly play a growing role in society and it is important that the authors are aware of digital Steganography technology and its implications.
Abstract: Digital steganography is the art of inconspicuously hiding data within data. Steganography's goal in general is to hide data well enough that unintended recipients do not suspect the steganographic medium of containing hidden data. The software and links mentioned in this article are just a sample of the steganography tools currently available. As privacy concerns continue to develop along with the digital communication domain, steganography will undoubtedly play a growing role in society. For this reason, it is important that we are aware of digital steganography technology and its implications. Equally important are the ethical concerns of using steganography and steganalysis. Steganography enhances rather than replaces encryption. Messages are not secure simply by virtue of being hidden. Likewise, steganography is not about keeping your message from being known - it's about keeping its existence from being known.
TL;DR: Having reviewed further public analysis of the finalists, NIST has decided to propose Rijndael as the Advanced Encryption Standard (AES).
Abstract: In 1997, the National Institute of Standards and Technology (NIST) initiated a process to select a symmetric-key encryption algorithm to be used to protect sensitive (unclassified) Federal information in furtherance of NIST’s statutory responsibilities. In 1998, NIST announced the acceptance of fifteen candidate algorithms and requested the assistance of the cryptographic research community in analyzing the candidates. This analysis included an initial examination of the security and efficiency characteristics for each algorithm. NIST reviewed the results of this preliminary research and selected MARS, RC6™, Rijndael, Serpent and Twofish as finalists. Having reviewed further public analysis of the finalists, NIST has decided to propose Rijndael as the Advanced Encryption Standard (AES). The research results and rationale for this selection are documented in this report.
TL;DR: It is shown that any secure channels protocol designed to work with any combination of secure encryption (against chosen plaintext attacks) and secure MAC must use the encrypt-then-authenticate method.
Abstract: We study the question of how to generically compose symmetric encryption and authentication when building "secure channels" for the protection of communications over insecure networks. We show that any secure channels protocol designed to work with any combination of secure encryption (against chosen plaintext attacks) and secure MAC must use the encrypt-then-authenticate method. We demonstrate this by showing that the other common methods of composing encryption and authentication, including the authenticate-then-encrypt method used in SSL, are not generically secure. We show an example of an encryption function that provides (Shannon's) perfect secrecy but when combined with any MAC function under the authenticate-then-encrypt method yields a totally insecure protocol (for example, finding passwords or credit card numbers transmitted under the protection of such protocol becomes an easy task for an active attacker). The same applies to the encrypt-and-authenticate method used in SSH.
On the positive side we show that the authenticate-then-encrypt method is secure if the encryption method in use is either CBC mode (with an underlying secure block cipher) or a stream cipher (that xor the data with a random or pseudorandom pad). Thus, while we show the generic security of SSL to be broken, the current practical implementations of the protocol that use the above modes of encryption are safe.
TL;DR: This paper addresses secure service replication in an asynchronous environment with a static set of servers, where a malicious adversary may corrupt up to a threshold of servers and controls the network.
Abstract: Broadcast protocols are a fundamental building block for implementing replication in fault-tolerant distributed systems. This paper addresses secure service replication in an asynchronous environment with a static set of servers, where a malicious adversary may corrupt up to a threshold of servers and controls the network.We develop a formal model using concepts from modern cryptography, give modular definitions for several broadcast problems, including reliable, atomic, and secure causal broadcast, and present protocols implementing them. Reliable broadcast is a basic primitive, also known as the Byzantine generals problem, providing agreement on a delivered message. Atomic broadcast imposes additionally a total order on all delivered messages. We present a randomized atomic broadcast protocol based on a new, efficient multivalued asynchronous Byzantine agreement primitive with an external validity condition. Apparently, no such efficient asynchronous atomic broadcast protocol maintaining liveness and safety in the Byzantine model has appeared previously in the literature. Secure causal broadcast extends atomic broadcast by encryption to guarantee a causal order among the delivered messages. Our protocols use threshold cryptography for signatures, encryption, and coin-tossing.
TL;DR: ELK, a novel key distribution protocol, is designed and implemented to address security challenges of secure media broadcast over the Internet with perfectly reliable, super-efficient member joins and smaller key update messages than previous protocols.
Abstract: Secure media broadcast over the Internet poses unique security challenges. One problem is access control to a large number of subscribers in a public broadcast. A common solution is to encrypt the broadcast data and to disclose the decryption key to legitimate receivers only. However, how do we securely and efficiently establish a shared secret among the legitimate receivers? And most importantly, how can we efficiently update the group key securely if receivers join or leave? How can we provide reliability for key update messages in a way that scales up to large groups? Recent research makes substantial progress to address these challenges. Current schemes feature efficient key update mechanisms assuming that the key updates are communicated reliably to the receivers. In practice, however the principal impediment to achieve a scalable system is to distribute the key updates reliably to all receivers. We have designed and implemented ELK, a novel key distribution protocol, to address these challenges with the following features: ELK features perfectly reliable, super-efficient member joins; ELK uses smaller key update messages than previous protocols; ELK features a mechanism that allows short hint messages to be used for key recovery allowing a tradeoff of communication overhead with member computation; ELK proposes to append a small amount of key update information to data packets, such that the majority of receivers can recover from lost key update messages; and ELK allows to trade off security with communication overhead.
TL;DR: In this article, the authors present a rigorous model for secure reactive systems in asynchronous networks with a sound cryptographic semantics, supporting abstract specifications and the composition of secure systems, which is essential in bridging the gap between the rigorous proof techniques of cryptography and tool-supported formal proof techniques.
Abstract: We present a rigorous model for secure reactive systems in asynchronous networks with a sound cryptographic semantics, supporting abstract specifications and the composition of secure systems. This enables modular proofs of security, which is essential in bridging the gap between the rigorous proof techniques of cryptography and tool-supported formal proof techniques. The model follows the general simulatability approach of modern cryptography. A variety of network structures and trust models can be described such as static and adaptive adversaries, some examples of this are given. As an example of our specification methodology we provide an abstract and complete specification for Secure Message Transmission, improving on recent results by Lynch (1999), and verify one concrete implementation. Our proof is based on a general theorem on the security of encryption in a reactive multi-user setting, generalizing a recent result by Bellare et. al (2000).
TL;DR: Efficient techniques for a number of parties to jointly generate an RSA key are described and each party holds a share of the private exponent that enables threshold decryption.
Abstract: We describe efficient techniques for a number of parties to jointly generate an RSA key. At the end of the protocol an RSA modulus N = pq is publicly known. None of the parties know the factorization of N. In addition a public encryption exponent is publicly known and each party holds a share of the private exponent that enables threshold decryption. Our protocols are efficient in computation and communication. All results are presented in the honest but curious scenario (passive adversary).
TL;DR: In this paper, a digital content distribution and subscription system for digital data files, which provides subscriber (64) with music or video (62) for a fee, is presented. But the system does not allow the user to select from a wide range of stored digital audio files on demand.
Abstract: A digital content distribution and subscription system for digital data files, which provides subscriber (64) with music or video (62) for a fee.Subscribers (64) may subscribe to a predetermined number of song slots for a period of time.The subscriber (64) may select songs from various play lists, which causes encrypted digital audio files (68) for the selected music to be downloaded to the subscriber's PC.A license key (66) is downloaded to the subscriber's PC to enable the selected songs to be decoded and displayed for a predetermined time period.At the expiration of the time period, the license key (66) expires.Each subscriber's selections are tabulated for the purpose of toyality tracking and payment of a license fee to the copyright holder.The current system provides subscribers (64) with relatively high-quality digital audio files (68) and allows subscribers (64) to select from a wide range of stored digital audio files (68) on demand while not violating copyright laws.
TL;DR: In this article, the authors present an architecture and method for a gaming-specific platform that features secure storage (354) and verification (366) of game code and other data, provides the ability to securely exchange data with a computerized wagering gaming system, and does so in a manner that is straightforward and easy to manage.
Abstract: The present invention provides an architecture and method for a gaming-specific platform that features secure storage (354) and verification (366) of game code and other data, provides the ability to securely exchange data with a computerized wagering gaming system, and does so in a manner that is straightforward and easy to manage. Some embodiments of the invention provide the ability to identify game program code as certified or approved, such as by the Nevada Gaming Regulations Commission or other regulatory agency. The invention provides these and other functions by use of encryption (216), including digital signatures (220) and hash functions (210) as well as other encryption methods.
TL;DR: A range of methods can be employed to strengthen the protocol and prevent the newly discovered attacks, including a location attack, which can be used for industrial espionage, blackmail, and other undesirable activities.
Abstract: We point to three types of potential vulnerabilities in the Bluetooth standard, version 1.0B. The first vulnerability opens up the system to an attack in which an adversary under certain circumstances is able to determine the key exchanged by two victim devices, making eavesdropping and impersonation possible. This can be done either by exhaustively searching all possible PINs (but without interacting with the victim devices), or by mounting a so-called middle-person attack. We show that one part of the key exchange protocol - an exponential back-off method employed in case of incorrect PIN usage - adds no security, but in fact benefits an attacker. The second vulnerability makes possible an attack - which we call a location attack - in which an attacker is able to identify and determine the geographic location of victim devices. This, in turn, can be used for industrial espionage, blackmail, and other undesirable activities. The third vulnerability concerns the cipher. We show two attacks on the cipher, and one attack on the use of the cipher. The former two do not pose any practical threat, but the latter is serious. We conclude by exhibiting a range of methods that can be employed to strengthen the protocol and prevent the newly discovered attacks. Our suggested alterations are simple, and are expected to be possible to be implemented without major modifications.
TL;DR: This contribution investigates the significance of FPGA implementations of the Advanced Encryption Standard candidate algorithms, with a strong focus on high-throughput implementations, which are required to support security for current and future high bandwidth applications.
Abstract: The technical analysis used in determining which of the potential Advanced Encryption Standard candidates was selected as the Advanced Encryption Algorithm includes efficiency testing of both hardware and software implementations of candidate algorithms. Reprogrammable devices such as field-programmable gate arrays (FPGAs) are highly attractive options for hardware implementations of encryption algorithms, as they provide cryptographic algorithm agility, physical security, and potentially much higher performance than software solutions. This contribution investigates the significance of FPGA implementations of the Advanced Encryption Standard candidate algorithms. Multiple architectural implementation options are explored for each algorithm. A strong focus is placed on high-throughput implementations, which are required to support security for current and future high bandwidth applications. Finally, the implementations of each algorithm will be compared in an effort to determine the most suitable candidate for hardware implementation within commercially available FPGAs.
TL;DR: In this paper, a secure processor is implemented in both normal and preferred modes, and includes a security kernel instantiated when the processor enters into preferred mode and a security key accessible by the security kernel during preferred mode.
Abstract: A secure processor is operable in normal and preferred modes, and includes a security kernel instantiated when the processor enters into preferred mode and a security key accessible by the security kernel during preferred mode. The security kernel employs the accessed security key to authenticate a secure application, and allows the processor to be trusted to keep hidden a secret of the application. To instantiate the application, the processor enters preferred mode where the security key is accessible, and instantiates and runs the security kernel. The security kernel accesses the security key and applies same to decrypt a key for the application, stores the decrypted key in a location where the application will expect same, and instantiates the application. The processor then enters the normal mode, where the security key is not accessible.
TL;DR: This work explores the use of subfield arithmetic for efficient implementations of Galois Field arithmetic especially in the context of the Rijndael block cipher and describes how to select a representation which minimizes the computation cost of the relevant arithmetic.
Abstract: We explore the use of subfield arithmetic for efficient implementations of Galois Field arithmetic especially in the context of the Rijndael block cipher. Our technique involves mapping field elements to a composite field representation. We describe how to select a representation which minimizes the computation cost of the relevant arithmetic, taking into account the cost of the mapping as well. Our method results in a very compact and fast gate circuit for Rijndael encryption.
In conjunction with bit-slicing techniques applied to newly proposed parallelizable modes of operation, our circuit leads to a high-performance software implementation for Rijndael encryption which offers significant speedup compared to previously reported implementations.
TL;DR: REACT is presented, a new conversion which applies to any weakly secure cryptosystem, in the random oracle model, which could become a new alternative to OAEP, and even reach security relative to factorization, while allowing symmetric integration.
Abstract: Seven years after the optimal asymmetric encryption padding (OAEP) which makes chosen-ciphertext secure encryption scheme from any trapdoor one-way permutation (but whose unique application is RSA), this paper presents REACT, a new conversion which applies to any weakly secure cryptosystem, in the random oracle model: it is optimal from both the computational and the security points of view. Indeed, the overload is negligible, since it just consists of two more hashings for both encryption and decryption, and the reduction is very tight. Furthermore, advantages of REACT beyond OAEP are numerous: 1. it is more general since it applies to any partially trapdoor one-way function (a.k.a. weakly secure public-key encryption scheme) and therefore provides security relative to RSA but also to the Diffie-Hellman problem or the factorization; 2. it is possible to integrate symmetric encryption (block and stream ciphers) to reach very high speed rates; 3. it provides a key distribution with session key encryption, whose overall scheme achieves chosen-ciphertext security even with weakly secure symmetric scheme.Therefore, REACT could become a new alternative to OAEP, and even reach security relative to factorization, while allowing symmetric integration.