Network Coding Applications

TL;DR: In this article, the theoretical foundations, practical implementation, challenges and benefits of a groundbreaking new model for secure communication are presented, using a bottom-up approach from the link level all the way to end-to-end architectures.

TL;DR: Reliable physical layer network coding takes this idea one step further: using judiciously chosen linear error-correcting codes, intermediate nodes in a wireless network can directly recover linear combinations of the packets from the observed noisy superpositions of transmitted signals.

TL;DR: In this paper, the authors explore the core ideas behind linear network coding and the possibilities it offers for communication over interference-limited wireless networks, and present some simple examples of such a technique.

TL;DR: It is shown that determining if there exists a linear solution is NP-hard for many classes of network coding problems, and techniques to upper bound the maximum achievable rate for instances defined on directed and undirected graphs are explored.

TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.

Abstract: The classic text for understanding complex statistical probability An Introduction to Probability Theory and Its Applications offers comprehensive explanations to complex statistical problems. Delving deep into densities and distributions while relating critical formulas, processes and approaches, this rigorous text provides a solid grounding in probability with practice problems throughout. Heavy on application without sacrificing theory, the discussion takes the time to explain difficult topics and how to use them. This new second edition includes new material related to the substitution of probabilistic arguments for combinatorial artifices as well as new sections on branching processes, Markov chains, and the DeMoivreLaplace theorem.

TL;DR: This book inchides well-known classics such as "On the Criteria to be used in Decomposing Systems into Modules," "On a 'Buzzword': Hierarchical Structure," and "Software Aging."

TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.