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DCC
2011
IEEE
12 years 11 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
TIT
2008
135views more  TIT 2008»
13 years 4 months ago
New MDS or Near-MDS Self-Dual Codes
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...
T. Aaron Gulliver, Jon-Lark Kim, Yoonjin Lee
DCC
2001
IEEE
14 years 4 months ago
Trellis Structure and Higher Weights of Extremal Self-Dual Codes
A method for demonstrating and enumerating uniformly efficient (permutation-optimal) trellis decoders for self-dual codes of high minimum distance is developed. Such decoders and c...
Houshou Chen, John T. Coffey
DCC
2001
IEEE
14 years 4 months ago
Binary Optimal Odd Formally Self-Dual Codes
In this paper, we study binary optimal odd formally self-dual codes. All optimal odd formally self-dual codes are classified for length up to 16. The highest minimum weight of any ...
Koichi Betsumiya, Masaaki Harada