Recursively differentiable quasigroups and complete recursive codes
Vladimir I. Izbash; Paraskovya N. Syrbu
Commentationes Mathematicae Universitatis Carolinae (2004)
- Volume: 45, Issue: 2, page 257-263
- ISSN: 0010-2628
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topIzbash, Vladimir I., and Syrbu, Paraskovya N.. "Recursively differentiable quasigroups and complete recursive codes." Commentationes Mathematicae Universitatis Carolinae 45.2 (2004): 257-263. <http://eudml.org/doc/249329>.
@article{Izbash2004,
abstract = {Criteria of recursive differentiability of quasigroups are given. Complete recursive codes which attains the Joshibound are constructed using recursively differentiable $k$-ary quasigroups.},
author = {Izbash, Vladimir I., Syrbu, Paraskovya N.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$k$-recursive code; strong orthogonal system of quasigroups; recursively differentiable quasigroups; -recursive code; strong orthogonal system of quasigroups; recursively differentiable quasigroups},
language = {eng},
number = {2},
pages = {257-263},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Recursively differentiable quasigroups and complete recursive codes},
url = {http://eudml.org/doc/249329},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Izbash, Vladimir I.
AU - Syrbu, Paraskovya N.
TI - Recursively differentiable quasigroups and complete recursive codes
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 2
SP - 257
EP - 263
AB - Criteria of recursive differentiability of quasigroups are given. Complete recursive codes which attains the Joshibound are constructed using recursively differentiable $k$-ary quasigroups.
LA - eng
KW - $k$-recursive code; strong orthogonal system of quasigroups; recursively differentiable quasigroups; -recursive code; strong orthogonal system of quasigroups; recursively differentiable quasigroups
UR - http://eudml.org/doc/249329
ER -
References
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- Abashin A.S., Linear recursive MDS-codes of dimension and , Diskret. Mat. 12 2 (2000), 140-153 (in Russian). (2000) MR1783081
- 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.
- MacWilliams F.J., Sloane N.J.A., Theory of error correcting codes, Sviazi, Moscow, 1979 (in Russian). Zbl0657.94010
- Belyavskaya G.B., On -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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