This chapter introduces the fundamental concepts of binary linear codes, a crucial class of codes in coding theory. It defines key terms such as codewords, generator matrices, parity‐check matrices, ...

Abstract: This study investigates the problem of learning linear block codes optimized for Belief-Propagation decoders significantly improving performance compared to the state-of-the-art. Our ...

C++ tool for linear code analysis using Gröbner bases. Computes leader codewords, tests code equivalence, and analyzes automorphism groups based on recent coding theory research.

A class that is able to develop any (n, k) linear code. Includes an implementation of an ASCII correcting linear code along with a simulation of error correction ...