Quantum error‐correcting codes (QECCs) have emerged as a crucial instrument in the quest to realise reliable quantum information processing. These codes utilise sophisticated mathematical frameworks ...

Linear codes have long been central to the development of error‐correcting methods in communication and data storage, while matroid theory provides a unifying combinatorial framework for understanding ...

Abstract: Linear codes are widely studied in coding theory as they have nice applications in distributed storage, combinatorics, lattices, cryptography and so on. Constructing linear codes with ...

Abstract: The error coefficient of a linear code is defined as the number of minimum-weight codewords. In an additive white Gaussian noise channel, optimal linear ...

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.

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