4 search results - page 1 / 1 » Construction of MDS self-dual codes over Galois rings |
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
The purpose of this paper is to construct nontrivial MDS self-dual codes over Galois rings. We consider a building-up construction of self-dual codes over Galois rings as a GF(q)-...
TIT
2008
13 years 5 months ago
2008
We construct new MDS or near-MDS self-dual codes over large finite fields. In particular we show that there exists a Euclidean self-dual MDS code of length n = q over GF(q) wheneve...
AAECC
2007
Springer
13 years 11 months ago
2007
Springer
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the...
JCT
2010
13 years 1 days ago
2010
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...