Structural properties of binary propelinear codes

Author:

Borges Joaquim, ,Yu. Mogilnykh Ivan,Rifà Josep,I. Solov'eva Faina, ,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference21 articles.

1. Binary codes with a minimum distance of four,;M. R. Best;IEEE Trans. Inform. Theory,1980

2. $\mathbb Z_2\mathbb Z_4$-linear codes: generator matrices and duality,;J. Borges;Des. Codes Cryptogr.,2010

3. A characterization of 1-perfect additive codes,;J. Borges;IEEE Trans. Inform. Theory,1999

4. On properties of propelinear and transitive binary codes,;J. Borges;in,2011

5. Quaternary constructions for the binary single-error-correcting codes of Julin, Best and others,;J. H. Conway;Des. Codes Cryptogr.,1994

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1. On q-ary Propelinear Perfect Codes Based on Regular Subgroups of the General Affine Group;Problems of Information Transmission;2022-04

2. Generalized Hadamard full propelinear codes;Designs, Codes and Cryptography;2021-01-19

3. On Hadamard full propelinear codes with associated group C_{2t}\times C_2;Advances in Mathematics of Communications;2021

4. Coordinate transitivity of a class of extended perfect codes and their SQS;Sibirskie Elektronnye Matematicheskie Izvestiya;2020-09-14

5. A concatenation construction for propelinear perfect codes from regular subgroups of $\mathrm {GA}(r,2)$;Sibirskie Elektronnye Matematicheskie Izvestiya;2019-11-21

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