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DCC
2011
IEEE
14 years 6 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
74
Voted
TIT
2008
135views more  TIT 2008»
14 years 11 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
15 years 10 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
15 years 10 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