Title :
New extremal self-dual codes of length 68
Author :
Dougherty, Steven T. ; Harada, Masaaki
Author_Institution :
Dept. of Math., Scranton Univ., PA, USA
fDate :
9/1/1999 12:00:00 AM
Abstract :
We give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k⩽10, the relationship between extremal doubly-even self-dual codes of length 24 k, and certain singly-even self-dual codes of length 24 k-2 is presented
Keywords :
Golay codes; binary codes; dual codes; residue codes; binary self-dual codes; code length; computational results; extended Golay code; extended quadratic residue code; extremal singly-even self-dual codes; weight enumerators; Binary codes; Code standards; Mathematics; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
