Open Access System for Information Sharing

Login Library

 

Article
Cited 1 time in webofscience Cited 0 time in scopus
Metadata Downloads

Type I Codes over GF(4) SCIE SCOPUS

Title
Type I Codes over GF(4)
Authors
Kim, HKKim, DKKim, JL
Date Issued
2012-07
Publisher
CHARLES BABBAGE RES CTR
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.
Keywords
Binary self-dual code; Euclidean self-dual code over GF(4); SELF-DUAL CODES; CLASSIFICATION; ENUMERATION; DISTANCE; F4
URI
https://oasis.postech.ac.kr/handle/2014.oak/16086
ISSN
0381-7032
Article Type
Article
Citation
ARS COMBINATORIA, vol. 106, page. 173 - 191, 2012-07
Files in This Item:
There are no files associated with this item.

qr_code

  • mendeley

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher

김현광KIM, HYUN KWANG
Dept of Mathematics
Read more

Views & Downloads

Browse