Title :
Some restrictions on weight enumerators of singly even self-dual codes
Author :
Harada, Masaaki ; Munemasa, Akihiro
Author_Institution :
Dept. of Math. Sci., Yamagata Univ.
fDate :
3/1/2006 12:00:00 AM
Abstract :
In this correspondence, we give some restrictions on weight enumerators of singly even self-dual [n,n/2,d] codes whose shadows have minimum weight d/2. As a consequence, we determine the weight enumerators for which there is an extremal singly even self-dual [40,20,8] code and an optimal singly even self-dual [50,25,10] code
Keywords :
dual codes; optimisation; optimal extremal code; singly even self-dual code; weight enumerator; Algorithm design and analysis; Channel coding; Communication system control; Concatenated codes; Error correction codes; Error probability; Maximum likelihood decoding; Performance analysis; Protection; Upper bound; Extremal code; minimum weight; self-dual code; shadow; weight enumerator;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.864416
