Title :
New extremal self-dual codes of length 62 and related extremal self-dual codes
Author :
Dontcheva, Radinka ; Harada, Masaaki
Author_Institution :
Fac. of Inf. Technol. & Syst., Delft Univ. of Technol., Netherlands
fDate :
7/1/2002 12:00:00 AM
Abstract :
New extremal self-dual codes of length 62 are constructed with weight enumerators of three different types. Two of these types were not represented by any known code up till now. All these codes possess an automorphism of order 15. Some of them are used to construct extremal self-dual codes of length 60 by the method of subtracting. By additional subtracting, an extremal self-dual [58, 29, 10] code was obtained having a weight enumerator which does not correspond to any code known so far
Keywords :
binary codes; dual codes; group theory; automorphism group; automorphism order; binary code; code length; extremal self-dual codes; nonzero coordinates; subtraction method; vector subspace; weight enumerators; Error correction codes; Error probability; Information technology; Welding;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2002.1013144
