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

May 24, 2019 ยท The Ethereal ยท ๐Ÿ› Sibirskie Elektronnye Matematicheskie Izvestiya

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Authors I. Yu. Mogilnykh, F. I. Solov'eva arXiv ID 1905.10005 Category math.CO: Combinatorics Cross-listed cs.IT Citations 5 Venue Sibirskie Elektronnye Matematicheskie Izvestiya Last Checked 6 months ago
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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