TY - JOUR
T1 - An upper bound on the minimum weight of Type II Z2k-codes
AU - Harada, Masaaki
AU - Miezaki, Tsuyoshi
N1 - Funding Information:
E-mail addresses: mharada@sci.kj.yamagata-u.ac.jp (M. Harada), miezaki@math.sci.hokudai.ac.jp (T. Miezaki). 1 This work was partially supported by JSPS KAKENHI (20540103).
PY - 2011/1
Y1 - 2011/1
N2 - In this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z2k-codes and the concept of extremality for the Euclidean weights when k=3,4,5,6. Together with the known result, we demonstrate that there is an extremal Type II Z2k-code of length 8. m (m≤8) when k=3,4,5,6.
AB - In this paper, we give a new upper bound on the minimum Euclidean weight of Type II Z2k-codes and the concept of extremality for the Euclidean weights when k=3,4,5,6. Together with the known result, we demonstrate that there is an extremal Type II Z2k-code of length 8. m (m≤8) when k=3,4,5,6.
KW - Euclidean weight
KW - Extremal code
KW - Theta series
KW - Type II code
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U2 - 10.1016/j.jcta.2010.02.007
DO - 10.1016/j.jcta.2010.02.007
M3 - Article
AN - SCOPUS:78149408053
SN - 0097-3165
VL - 118
SP - 190
EP - 196
JO - Journal of Combinatorial Theory - Series A
JF - Journal of Combinatorial Theory - Series A
IS - 1
ER -