Реферат: 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.

Библиографическая ссылка: 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