Title :
New optimal binary linear codes of dimensions 9 and 10
Author :
Gulliver, T. Aaron ; Bhargava, Vijay K.
Author_Institution :
Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada
fDate :
1/1/1997 12:00:00 AM
Abstract :
Eighteen new codes are presented which improve the bounds on maximum minimum distance for binary linear codes. They are rate (m-r)/pm, r⩾1, degenerate quasi-cyclic (QC) codes. Based on the known upper bounds, six of these new codes are optimal. In addition, five two-weight QC codes of dimension 8 are given
Keywords :
Galois fields; cyclic codes; linear codes; Galois field; degenerate quasi-cyclic codes; maximum minimum distance; multidimensional codes; optimal binary linear codes; two-weight quasi-cyclic codes; upper bounds; Artificial intelligence; Binary codes; Councils; Error correction codes; Galois fields; Hamming distance; Hamming weight; Linear code; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
