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The Ethereal
A concatenation construction for propelinear perfect codes from regular subgroups of GA(r,2)
May 24, 2019 ยท The Ethereal ยท ๐ 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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