Name
Abstract | ||
|---|---|---|
We show that every self-orthogonal code over \({\mathbb {F}}_q\) of length n can be extended to a self-dual code, if there exists self-dual codes of length n. Using a family of Galois towers of algebraic function fields we show that over any nonprime field \({\mathbb {F}}_q\), with \(q\ge 64\), except possibly \(q=125\), there are infinite families of self-dual codes, which are asymptotically better than the asymptotic Gilbert–Varshamov bound. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10623-018-0497-y | Des. Codes Cryptography |
Keywords | DocType | Volume |
Self-dual codes, Algebraic geometry codes, Gilbert–Varshamov Bound, Tsfasman–Vladut–Zink Bound, Towers of function fields, Asymptotically good codes, Quadratic forms, Witt’s Theorem, 14G50, 94B27, 94B65, 15A63, 11T71 | Journal | abs/1709.07221 |
Issue | ISSN | Citations |
1 | 0925-1022 | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alp Bassa | 1 | 7 | 1.83 |
| Henning Stichtenoth | 2 | 176 | 32.38 |