Binary Optimal Linear Rate 1/2 Codes

Authors:
Koichi Betsumiya;T. Aaron Gulliver;Masaaki Harada
Affiliations:
-;-;-
Venue:
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Year:
1999

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Abstract

In this paper, we classify the optimal linear [n, n/2] codes of length upto 12. We show that there is a unique optimal odd formally self-dual [20, 10, 6] code upto equivalence. We also show that at least one optimal linear [n, n/2] code is self-dual or formally self-dual for lengths upto 48 (except 38 and 40).