Title :
Weight enumerators of extremal singly-even [60,30,12] codes
Author :
Gulliver, T. Aaron ; Harada, Masaaki
Author_Institution :
Dept. of Syst. & Comput. Eng., Carleton Univ., Ottawa, Ont., Canada
fDate :
3/1/1996 12:00:00 AM
Abstract :
Conway and Sloane (1990) have listed the possible weight enumerators for extremal self-dual codes up to length 72. In this correspondence, we construct extremal singly-even self-dual [60,30,12] codes whose weight enumerator does not appear in this list. In addition, we present the possible weight enumerators for extremal self-dual codes of length 60
Keywords :
dual codes; double circulant codes; extremal self-dual codes; extremal singly-even [60,30,12] codes; weight enumerators; Frequency; Hamming weight; Linear code; Mathematics; Systems engineering and theory; Terminology; Upper bound; Vectors;
Journal_Title :
Information Theory, IEEE Transactions on
