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Title: Recursively differentiable quasigroups and complete recursive codes (English)
Author: Izbash, V.
Author: Syrbu, P.
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 45
Issue: 2
Year: 2004
Pages: 257-263
Category: math
Summary: Criteria of recursive differentiability of quasigroups are given. Complete recursive codes which attains the Joshibound are constructed using recursively differentiable $k$-ary quasigroups. (English)
Keyword: $k$-recursive code
Keyword: strong orthogonal system of quasigroups
Keyword: recursively differentiable quasigroups.
MSC: 11T71
MSC: 94B60
idZBL: Zbl 1127.94384
idMR: MR2075273
Date available: 2009-05-05T16:44:52Z
Last updated: 2012-04-30
Stable URL:
Reference: [1] Couselo E., Gonzalez S., Markov V., Nechaev A.: Recursive MDS-codes and recursively differentiable quasigroups.Diskret. Mat. 10 2 (1998), 3-29 (in Russian). MR 1673150
Reference: [2] Couselo E., Gonzalez S., Markov V., Nechaev A.: The parameters of recursive MDS-codes.Diskret. Mat. 12 4 (2000), 3-24 (in Russian). MR 1826175
Reference: [3] Dénes J., Keedwell A.D.: Latin Squares and Their Applications.Academic Press, New York, 1974. MR 0351850
Reference: [4] Abashin A.S.: Linear recursive MDS-codes of dimension $2$ and $3$.Diskret. Mat. 12 2 (2000), 140-153 (in Russian). MR 1783081
Reference: [5] Izbash V., Syrbu P.: On recursively differentiable binary quasigroups.Proceedings of the 11-th Conf. on Applied and Industrial Mathematics, 2003, May 29-31, Oradea, Romania, Vol. 1, pp.149-152.
Reference: [6] MacWilliams F.J., Sloane N.J.A.: Theory of error correcting codes.Sviazi, Moscow, 1979 (in Russian). Zbl 0657.94010
Reference: [7] Belyavskaya G.B.: On $r$-differentiable quasigroups.Abstracts of the Int. Conf. on Pure and Applied Math. dedicated to D.A. Grave, Kiev, 2002, pp.11-12.


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