Hulls of linear codes have been of interest and extensively studied due to their rich algebraic structures and wide applications. In this paper, alternative characterizations of hulls of linear codes ...

With SageMath 10.6 on WSL with Arch (but this has been an issue in previous versions as well). Run G=matrix(GF(2),[[0,0,0]]); C=LinearCode(G) We get "ValueError: this linear code contains no nonzero ...

Abstract: For a linear code and a linear subcode, the relative dimension/length profile (RDLP), inverse relative dimension/ length profile (IRDLP) and relative length/dimension profile (RLDP) are ...

Abstract: Linear codes with few weighs have many applications in secret sharing. Determining the access structure of the secret sharing scheme based on a linear code is a very difficult problem. We ...

A quaternary linear code is a linear space over the ring of integers modulo 4. Recent research in coding theory shows that many famous nonlinear codes such as the Nordstrom and Robinson (1967) code ...