On the Error-correcting Capability of Twisted Centralizer Codes Obtained from a Fixed Rank-1 Matrix
Information Theory
2024-11-07 v1 math.IT
Abstract
In this paper, we give a generalization on the error correcting capability of twisted centralizer codes obtained from a fixed rank 1 matrix. In particular, we fix the combinatorial matrix which is obtained by getting the linear combination of the matrix whose all entries are 1 and the identity matrix of order n. Results reveal that such codes have a dimension 1 for any fixed combinatorial matrix and constant a hence having a relatively low information rate due to the way its codewords are constructed, but are found to be maximum distance separable codes.
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Cite
@article{arxiv.2411.03647,
title = {On the Error-correcting Capability of Twisted Centralizer Codes Obtained from a Fixed Rank-1 Matrix},
author = {John Ben S. Temones},
journal= {arXiv preprint arXiv:2411.03647},
year = {2024}
}
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4 pages