TY - JOUR
T1 - New extremal self-dual codes of length 62 and related extremal self-dual codes
AU - Dontcheva, Radinka
AU - Harada, Masaaki
PY - 2002/7
Y1 - 2002/7
N2 - In this correspondence, 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.
AB - In this correspondence, 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.
KW - Automorphism
KW - Extremal self-dual code
KW - Weight enumerator
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U2 - 10.1109/TIT.2002.1013144
DO - 10.1109/TIT.2002.1013144
M3 - Article
AN - SCOPUS:0036648145
SN - 0018-9448
VL - 48
SP - 2060
EP - 2064
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 7
ER -