TY - JOUR
T1 - Construction of Extremal Type II Codes over ℤ4
AU - Gaborit, Philippe
AU - Harada, Masaaki
PY - 1999
Y1 - 1999
N2 - In this paper, we give a pseudo-random method to construct extremal Type II codes over ℤ4;. As an application, we give a number of new extremal Type II codes of lengths 24, 32 and 40, constructed from some extremal doubly-even self-dual binary codes. The extremal Type II codes of length 24 have the property that the supports of the codewords of Hamming weight 10 form 5-(24, 10, 36) designs. It is also shown that every extremal doubly-even self-dual binary code of length 32 can be considered as the residual code of an extremal Type II code over ℤ4.
AB - In this paper, we give a pseudo-random method to construct extremal Type II codes over ℤ4;. As an application, we give a number of new extremal Type II codes of lengths 24, 32 and 40, constructed from some extremal doubly-even self-dual binary codes. The extremal Type II codes of length 24 have the property that the supports of the codewords of Hamming weight 10 form 5-(24, 10, 36) designs. It is also shown that every extremal doubly-even self-dual binary code of length 32 can be considered as the residual code of an extremal Type II code over ℤ4.
KW - Extremal codes and type II codes
KW - Self-dual codes over ℤ
UR - http://www.scopus.com/inward/record.url?scp=0345771910&partnerID=8YFLogxK
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U2 - 10.1023/A:1008335912135
DO - 10.1023/A:1008335912135
M3 - Article
AN - SCOPUS:0345771910
SN - 0925-1022
VL - 16
SP - 257
EP - 269
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 3
ER -