Journal Article10.1007/BF00196774
Bit commitment using pseudorandomness
TL;DR: It is shown how a pseudorandom generator can provide a bit-commitment protocol and the number of bits communicated when parties commit to many bits simultaneously, and the assumption of the existence of pseudorRandom generators suffices to assure amortized O(1) bits of communication per bit commitment.
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Abstract: We show how a pseudorandom generator can provide a bit-commitment protocol. We also analyze the number of bits communicated when parties commit to many bits simultaneously, and show that the assumption of the existence of pseudorandom generators suffices to assure amortized O(1) bits of communication per bit commitment.
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TL;DR: In this paper, a constructive theory of randomness for functions, based on computational complexity, is developed, and a pseudorandom function generator is presented, which is a deterministic polynomial-time algorithm that transforms pairs (g, r), where g is any one-way function and r is a random k-bit string, to computable functions.
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How to construct random functions
Oded Goldreich,Shafi Goldwasser,Silvio Micali +2 more
- 04 Oct 2019
TL;DR: A constructive theory of randomness for functions, based on computational complexity, is developed, and a pseudorandom function generator is presented that has applications in cryptography, random constructions, and complexity theory.
How to generate cryptographically strong sequences of pseudo random bits
Manuel Blum,Silvio Micali +1 more
- 04 Oct 2019
TL;DR: A general algorithmic scheme for constructing polynomial-time deterministic algorithms that stretch a short secret random input into a long sequence of unpredictable pseudo-random bits is presented.
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