| 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:
|
http://hdl.handle.net/10338.dmlcz/119454 |
| . |
| 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. |
| . |
