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Theory and practice of error control codes
TLDR
To understand the theoretical framework upon which error-control codes are built and then Algebraic Codes for Data Transmission by Richard E. Blahut, needed, several examples to illustrate the performance of the approximation scheme in practice are needed.Abstract:
To understand the theoretical framework upon which error-control codes are built and then Algebraic Codes for Data Transmission By Richard E. Blahut. Hamid Jafarkhani, “Space-Time Coding: Theory and Practice”, Cambridge. Textbook, Richard E. Blahut, Algebraic Codes for Data Transmission. Bibliography Peter Sweeney, Error Control Coding: From Theory to Practice Juergen. 2Automatic Control Laboratory, ETH Zurich, Switzerland several examples to illustrate the performance of the approximation scheme in practice. Information theory says that there exists operational quantities called channel (9) Richard E. Blahut, “Computation of channel capacity and rate-distortion functions,” IEEE.read more
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Channel Polarization: A Method for Constructing Capacity-Achieving Codes for Symmetric Binary-Input Memoryless Channels
TL;DR: The paper proves that, given any B-DMC W with I(W) > 0 and any target rate R< I( W) there exists a sequence of polar codes {Cfrn;nges1} such that Cfrn has block-length N=2n, rate ges R, and probability of block error under successive cancellation decoding bounded as Pe(N,R) les O(N-1/4) independently of the code rate.
Book
Entropy and information theory
TL;DR: This book is an updated version of the information theory classic, first published in 1990, with expanded treatment of stationary or sliding-block codes and their relations to traditional block codes and discussion of results from ergodic theory relevant to information theory.
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SplitStream: high-bandwidth multicast in cooperative environments
TL;DR: The design and implementation of SplitStream are presented and experimental results show that SplitStream distributes the forwarding load among all peers and can accommodate peers with different bandwidth capacities while imposing low overhead for forest construction and maintenance.
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Efficient erasure correcting codes
TL;DR: A simple erasure recovery algorithm for codes derived from cascades of sparse bipartite graphs is introduced and a simple criterion involving the fractions of nodes of different degrees on both sides of the graph is obtained which is necessary and sufficient for the decoding process to finish successfully with high probability.
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Fuzzy Extractors: How to Generate Strong Keys from Biometrics and Other Noisy Data
TL;DR: In this article, the authors provide formal definitions and efficient secure techniques for turning noisy information into keys usable for any cryptographic application, and, in particular, reliably and securely authenticating biometric data.
References
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Computation of channel capacity and rate-distortion functions
TL;DR: A simple algorithm for computing channel capacity is suggested that consists of a mapping from the set of channel input probability vectors into itself such that the sequence of probability vectors generated by successive applications of the mapping converges to the vector that achieves the capacity of the given channel.