TY - JOUR
T1 - New extremal self-dual codes of length 68
AU - Dougherty, Steven T.
AU - Harada, Masaaki
PY - 1999
Y1 - 1999
N2 - In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.
AB - In this correspondence, we give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k < 10, the relationship between extremal doubly-even self-dual codes of length 24fc, and certain singly-even self-dual codes of length 24k -2 is presented.
KW - New extremal doubly-even codes
KW - Shadow codes
KW - Weight enumerators
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U2 - 10.1109/18.782158
DO - 10.1109/18.782158
M3 - Article
AN - SCOPUS:0033184965
SN - 0018-9448
VL - 45
SP - 2133
EP - 2136
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 6
ER -