DocumentCode
1443210
Title
New extremal self-dual codes of lengths 36, 38, and 58
Author
Kim, Jon-Lark
Author_Institution
Dept. of Math. Stat. & Comput. Sci., Illinois Univ., Chicago, IL, USA
Volume
47
Issue
1
fYear
2001
fDate
1/1/2001 12:00:00 AM
Firstpage
386
Lastpage
393
Abstract
We construct new extremal self-dual binary codes of lengths 36, 38, and 58. We show that there are at least 14 inequivalent extremal self-dual [38,18,8] codes and that there are at least 368 inequivalent extremal self-dual [38,19,8] codes. For length 58, we construct 11 extremal self-dual [58,29,10] codes whose weight enumerators were previously unknown
Keywords
binary codes; dual codes; binary codes; code construction; extremal self-dual codes; inequivalent extremal self-dual codes; weight enumerators; Concatenated codes; Convolutional codes; Decoding; Displays; Feedback; Notice of Violation; Polynomials; Product codes; Transmission line matrix methods; Turbo codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.904540
Filename
904540
Link To Document