Name
Abstract | ||
|---|---|---|
It was shown by Gaborit el al. [10] that a Euclidean self-dual code over CF(4) with the property that there is a codeword whose Lee weight 2 (mod 4) is of interest because of its connection to a binary singly-even self-dual code. Such a self-dual code over GF(4) is called Type I. The purpose of this paper is to classify all Type I codes of lengths up to 10 and extremal Type I codes of length 12, and to construct many new extremal Type I codes over GF(4) of lengths from 14 to 22 and 34. As a byproduct, we construct a new extremal singly-even self-dual binary [36, 18,8] code, and a new extremal singly-even self-dual binary [68, 34, 12] code with a previously unknown weight enumerator W-2 for beta = 95 and gamma = 1. |
Year | Venue | Keywords |
|---|---|---|
2012 | ARS COMBINATORIA | Binary self-dual code,Euclidean self-dual code over GF(4) |
Field | DocType | Volume |
Discrete mathematics,Combinatorics,Code word,Euclidean geometry,Basic research,Mathematics,Binary number | Journal | 106 |
ISSN | Citations | PageRank |
0381-7032 | 0 | 0.34 |
References | Authors | |
10 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hyun Kwang Kim | 1 | 87 | 16.82 |
| Dae-Kyu Kim | 2 | 6 | 1.25 |
| Jon-Lark Kim | 3 | 312 | 34.62 |