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arXiv · 1905.10005

A concatenation construction for propelinear perfect codes from regular subgroups of GA(r,2)

I. Yu. Mogilnykh·F. I. Solov'eva
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Abstract

A code $C$ is called propelinear if there is a subgroup of $Aut(C)$ of order $|C|$ acting transitively on the codewords of $C$. In the paper new propelinear perfect binary codes of any admissible length more than $7$ are obtained by a particular case of the Solov'eva concatenation construction--1981 and the regular subgroups of the general affine group of the vector space over $GF(2)$.

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BibTeXRIS

I. Yu. Mogilnykh, F. I. Solov'eva. 2019-12-16. A concatenation construction for propelinear perfect codes from regular subgroups of GA(r,2). https://arxiv.org/abs/1905.10005

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