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

Autor: Mogilnykh, I. Yu., Solov'eva, F. I.
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $GF(2)$.
Databáze: arXiv