TY - JOUR
T1 - Existence of new extremal doubly-even codes and extremal singly-even codes
AU - Harada, Masaaki
PY - 1996
Y1 - 1996
N2 - Recently the author and Kimura have considered a construction of doubly-even codes from a given doubly-even code. In this note, we show that the restricutoion of doubly-even can be removed in the above construction. As an application, at least 137 inequivalent extremal doubly-even [56,28,12] codes and at least 1000 inequivalent extremal doubly-even [40, 20, 8] codes are constructed from known self-dual codes. The existence of new extremal singly-even codes is also described.
AB - Recently the author and Kimura have considered a construction of doubly-even codes from a given doubly-even code. In this note, we show that the restricutoion of doubly-even can be removed in the above construction. As an application, at least 137 inequivalent extremal doubly-even [56,28,12] codes and at least 1000 inequivalent extremal doubly-even [40, 20, 8] codes are constructed from known self-dual codes. The existence of new extremal singly-even codes is also described.
KW - Extremal Doubly-Even Codes
KW - Extremal Singly-Even Codes
KW - Generator Matrices
UR - http://www.scopus.com/inward/record.url?scp=0000770213&partnerID=8YFLogxK
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U2 - 10.1007/bf00173298
DO - 10.1007/bf00173298
M3 - Article
AN - SCOPUS:0000770213
SN - 0925-1022
VL - 8
SP - 273
EP - 283
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 3
ER -