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 ...

The parameter known as Hamming weight or minimum distance of a linear code is important from both a theoretical and an applied standpoint. A main concern of coding theorists is the search for codes ...

Deep holes are very important in the decoding of generalized RS codes, and deep holes of RS codes have been widely studied, but there are few works on constructing general linear codes based on deep ...

Abstract: The weight distribution of a q-ary [n, k, d] linear code is an important research subject in coding theory. In a linear code, a code symbol is said to have locality r if it can be recovered ...