Name
Abstract | ||
|---|---|---|
In this paper we study optimal binary self-dual codes with minimum distance 12 having an automorphism of order 17. We prove that all such codes have parameters [68 + f; 34 + f=2; 12]; f = 0; 2; 4 and automorphism of type 17- (4; f), f = 0; 2; 4 and provide a full classication of these codes. This classication gives: new values b = 17, 153, 170, 187, 221, 255 for = 0 in the weight enumerator W68,2 of [68, 34, 12] codes; new values b = 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, and 612 for g = 0 in W70,1 of [70, 35, 12] codes; numerous singly- and doubly-even [72, 36, 12] codes with new parameters in their weight enumerators. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1109/TIT.2015.2396915 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
binary codes,dual codes,binary self-dual codes,odd prime order,order 11 automorphism,weight enumerator,self-dual codes,automorphisms,ethanol,powders,zinc oxide | Prime (order theory),Discrete mathematics,Combinatorics,Automorphism,Block code,Expander code,Equivalence (measure theory),Linear code,Mathematics,Binary number | Journal |
Volume | Issue | ISSN |
61 | 3 | 0018-9448 |
Citations | PageRank | References |
4 | 0.48 | 10 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nikolay Yankov | 1 | 56 | 7.51 |
| Moon Ho Lee | 2 | 765 | 107.66 |
| Muberra Gurel | 3 | 4 | 0.48 |
| Milena Ivanova | 4 | 4 | 0.48 |