TY - JOUR
T1 - An upper bound of the value of t of the support t-designs of extremal binary doubly even self-dual codes
AU - Miezaki, Tsuyoshi
AU - Nakasora, Hiroyuki
N1 - Funding Information:
The authors wish to thank Masaaki Kitazume for helpful discussions in Chiba University. The authors also thank Eiichi Bannai for providing the reference []. The second author would like to thank Masaaki Harada for useful discussions in Tohoku University. This work was supported by JSPS KAKENHI (22840003, 24740031).
Publisher Copyright:
© 2015, Springer Science+Business Media New York.
PY - 2016/4/1
Y1 - 2016/4/1
N2 - Let (Formula presented.) be an extremal binary doubly even self-dual code of length (Formula presented.) and (Formula presented.) be the support design of (Formula presented.) for a weight (Formula presented.). We introduce the two numbers (Formula presented.) and (Formula presented.) : (Formula presented.) is the largest integer (Formula presented.) such that, for all wight, (Formula presented.) is a (Formula presented.) -design; (Formula presented.) denotes the largest integer (Formula presented.) such that there exists a (Formula presented.) such that (Formula presented.) is a (Formula presented.) -design. In this paper, we consider the possible values of (Formula presented.) and (Formula presented.).
AB - Let (Formula presented.) be an extremal binary doubly even self-dual code of length (Formula presented.) and (Formula presented.) be the support design of (Formula presented.) for a weight (Formula presented.). We introduce the two numbers (Formula presented.) and (Formula presented.) : (Formula presented.) is the largest integer (Formula presented.) such that, for all wight, (Formula presented.) is a (Formula presented.) -design; (Formula presented.) denotes the largest integer (Formula presented.) such that there exists a (Formula presented.) such that (Formula presented.) is a (Formula presented.) -design. In this paper, we consider the possible values of (Formula presented.) and (Formula presented.).
KW - Assmus–Mattson theorem
KW - Harmonic weight enumerators
KW - Self-dual codes
KW - t-Designs
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U2 - 10.1007/s10623-014-0033-7
DO - 10.1007/s10623-014-0033-7
M3 - Article
AN - SCOPUS:84960330129
SN - 0925-1022
VL - 79
SP - 37
EP - 46
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 1
ER -