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» On the existence of self-dual permutation codes of finite gr...
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DCC
2001
IEEE
14 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
TIT
2008
135views more  TIT 2008»
13 years 10 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
2006
IEEE
14 years 10 months ago
Uncoverings-by-bases for base-transitive permutation groups
An uncovering-by-bases for a group G acting on a finite set is a set U of bases for G such that any r-subset of is disjoint from at least one base in U, where r is a parameter d...
Robert F. Bailey
CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 10 months ago
Automorphisms of doubly-even self-dual binary codes
The automorphism group of a binary doubly-even self-dual code is always contained in the alternating group. On the other hand, given a permutation group G of degree n there exists...
Annika Guenther, Gabriele Nebe