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 ...
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: 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 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 ...
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 ...
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