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 ...

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: 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 ...

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 ...

Efficient active deep decoding of linear codes using importance sampling and weighted belief propagation. This repository provides a reproducible TensorFlow implementation of the framework proposed in ...

Currently, there is no function to compute the intersection of two linear codes, as another linear code. The current easier alternative is to convert everything to vector spaces, compute the ...