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