Name
Title | ||
|---|---|---|
On the classification of the extremal self-dual codes over small fields with 2-transitive automorphism groups |
Abstract | ||
|---|---|---|
There are seven binary extremal self-dual doubly-even codes which are known to have a 2-transitive automorphism group. Using representation theoretical methods we show that there are no other such codes, except possibly for length n = 1024. We also classify all extremal ternary self-dual and quaternary Hermitian self-dual codes. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s10623-012-9655-9 | Des. Codes Cryptography |
Keywords | Field | DocType |
Automorphisms,Self-dual codes,Transitive groups,Simple groups,94B05,20B20,20B25 | Discrete mathematics,Automorphism group,Combinatorics,Group code,Automorphism,Ternary operation,Hermitian matrix,Mathematics,Binary number,Simple group,Transitive relation | Journal |
Volume | Issue | ISSN |
70 | 1-2 | 0925-1022 |
Citations | PageRank | References |
1 | 0.48 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Anton Malevich | 1 | 13 | 1.61 |
| W. Willems | 2 | 44 | 5.12 |