Recently, deep learned enabled end-to-end communication systems have been developed
to merge all physical layer blocks in the traditional communication systems, which make joint …

The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

It is shown in this paper that the iterative algorithm introduced by Berlekamp for decoding
BCH codes actually provides a general solution to the problem of synthesizing the shortest …

This is the revised edition of Berlekamp's famous book,'Algebraic Coding Theory', originally
published in 1968, wherein he introduced several algorithms which have subsequently …

The need to transmit and store massive amounts of data reliably and without error is a vital
part of modern communications systems. Error-correcting codes play a fundamental role in …

Building on the success of the first edition, which offered a practical introductory approach to
the techniques of error concealment, this book, now fully revised and updated, provides a …

We introduce a new distance measure which permits likelihood information to be used in
algebraic minimum distance decoding techniques. We give an efficient decoding algorithm …

Starting from Shannon's celebrated 1948 channel coding theorem, we trace the evolution of
channel coding from Hamming codes to capacity-approaching codes. We focus on the …

Exponential error bounds for erasure, list, and decision feedback schemes Page 1 206 IEEE
TRANSACTIONS ON INFORMATION THEORY, VOL. IT-14, NO. 2, MARCH 1968 Exponential …

Guessing Random Additive Noise Decoding (GRAND) is a universal decoding algorithm
that has been recently proposed as a practical way to perform maximum likelihood …