Title
Self-dual codes using the building-up construction
Abstract
The building-up construction for self-dual codes was developed by the authors over finite fields GF(q) when q is a power of 2 or q ≡ 1 (mod 4). In this paper, we complete the building-up construction for self-dual codes over GF(q) with q ≡ 3 (mod 4). For example, we construct new 945 extremal self-dual ternary [32, 16, 9] codes, each of which has a trivial automorphism group.
Year
DOI
Venue
2009
10.1109/ISIT.2009.5206010
ISIT
Keywords
Field
DocType
self-dual code,finite field,building-up construction,extremal self-dual ternary,trivial automorphism group,data mining,computational complexity,construction industry,cryptography,galois fields,generators
Discrete mathematics,Automorphism group,Finite field,Combinatorics,Algebra,Cryptography,Ternary operation,Construction industry,Mathematics,Computational complexity theory
Conference
Citations 
PageRank 
References 
0
0.34
14
Authors
2
Name
Order
Citations
PageRank
Jon-Lark Kim131234.62
Yoonjin Lee210721.53