Title
Near-Extremal Formally Self-Dual Even Codes of Lengths 24 and 32
Abstract
The weight enumerator of a formally self-dual even code is obtained by the Gleason theorem. Recently, Kim and Pless gave some restrictions on the possible weight enumerators of near-extremal formally self-dual even codes of length divisible by eight. In this paper, the weight enumerators for which there is a near-extremal formally self-dual even code are completely determined for lengths 24 and 32, by constructing new near-extremal formally self-dual codes. We also give a classification of near- extremal double circulant codes of lengths 24 and 32.
Year
DOI
Venue
2005
10.1007/s10623-004-4037-6
Des. Codes Cryptography
Keywords
Field
DocType
formally self-dual even codes, weight enumerators
Discrete mathematics,Combinatorics,Circulant matrix,Even code,Mathematics
Journal
Volume
Issue
ISSN
37
3
0925-1022
Citations 
PageRank 
References 
2
0.46
4
Authors
4
Name
Order
Citations
PageRank
T. Aaron Gulliver1864143.47
Masaaki Harada236769.47
Takuji Nishimura31240126.89
Patric R. J. Östergård460970.61