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q-ary propelinear perfect codes from the regular subgroups of the GA(r; q) and their ranks Conference attendances

Language Английский
Participant type Секционный
URL https://www.wcc2022.uni-rostock.de/storages/uni-rostock/Tagungen/WCC2022/Papers/WCC_2022_paper_67.pdf
Conference WCC 2022: The Twelfth International Workshop on Coding and Cryptography
07-11 Mar 2022 , Rostock
Authors Mogilʹnykh Ivan Yurʹevich 1
Affiliations
1 Sobolev Institute of Mathematics

Abstract: We propose a new method of constructing q-ary propelinear perfect codes. The approach utilizes permutations of the xed length q- ary vectors that arise from the automorphisms of the regular subgroups of the ane group. For any prime q it is shown that the new class contains an in nite series of q-ary propelinear perfect codes of varying ranks.
Cite: Mogilʹnykh I.Y.
q-ary propelinear perfect codes from the regular subgroups of the GA(r; q) and their ranks
WCC 2022: The Twelfth International Workshop on Coding and Cryptography 07-11 Mar 2022