TY - JOUR
T1 - On the existence of extremal type II ℤ2k-codes
AU - Harada, Masaaki
AU - Miezaki, Tsuyoshi
PY - 2014/5
Y1 - 2014/5
N2 - For lengths 8, 16, and 24, it is known that there is an extremal Type II ℤ2k-code for every positive integer k. In this paper, we show that there is an extremal Type II ℤ2k-code of lengths 32, 40, 48, 56, and 64 for every positive integer k. For length 72, it is also shown that there is an extremal Type II ℤ4k-code for every positive integer k with k ≥ 2.
AB - For lengths 8, 16, and 24, it is known that there is an extremal Type II ℤ2k-code for every positive integer k. In this paper, we show that there is an extremal Type II ℤ2k-code of lengths 32, 40, 48, 56, and 64 for every positive integer k. For length 72, it is also shown that there is an extremal Type II ℤ4k-code for every positive integer k with k ≥ 2.
UR - http://www.scopus.com/inward/record.url?scp=84894860898&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84894860898&partnerID=8YFLogxK
U2 - 10.1090/S0025-5718-2013-02750-0
DO - 10.1090/S0025-5718-2013-02750-0
M3 - Article
AN - SCOPUS:84894860898
SN - 0025-5718
VL - 83
SP - 1427
EP - 1446
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 287
ER -