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2022-ary quasigroups and related topics
November 6, 2020 11:00–12:30, Novosibirsk, Sobolev Institute of Mathematics, room 135
 


On q-ary propelinear codes from regular subgroups of the affine group

I. Yu. Mogil'nykh, F. I. Solov'eva

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Abstract: Based on a $q$-ary analogue of Solov'eva's construction, similarly to the binary case, a new series of $q$-ary propelinear perfect codes is found. For the obtained codes, the rank problem is partially solved. In particular, propelinear perfect codes of precomplete rank exist for length $q^2+q+1$ for all primes $q$, $q>2$.

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