Title :
Extremal binary self-dual codes
Author :
Dougherty, Steven T. ; Gulliver, T. Aaron ; Harada, Masaaki
Author_Institution :
Dept. of Math., Univ. of Scranton, PA, USA
fDate :
11/1/1997 12:00:00 AM
Abstract :
In this correspondence, we investigate binary extremal self-dual codes. Numerous extremal self-dual codes and interesting self-dual codes with minimum weight d=14 and 16 are constructed. In particular, the first extremal Type I [86,43,16] code and new extremal self-dual codes with weight enumerators which were not previously known to exist for lengths 40,50,52 and 54 are constructed. We also determine the possible weight enumerators for extremal Type I codes of lengths 66-100
Keywords :
binary sequences; dual codes; Type I [86,43,16] code; binary codes; extremal Type I codes; extremal self-dual codes; minimum weight; weight enumerators; Code standards; Mathematics; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
