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arXiv:2002.10942 [math.CO]AbstractReferencesReviewsResources

An upper bound of the value of t of the support t-designs of extremal Type III and IV codes

Tsuyoshi Miezaki, Hiroyuki Nakasora

Published 2020-02-22Version 1

Let C be an extremal Type III or IV code and D_{w} be the support design of C for a weight w. We introduce the two numbers \delta(C) and s(C): \delta(C) is the largest integer t such that, for all wight, D_{w} is a t-design; s(C) denotes the largest integer t such that there exists a w such that D_{w} is a t-design. In the present paper, we consider the possible values of \delta(C) and s(C).

Comments: 27 pages. arXiv admin note: text overlap with arXiv:1311.2122
Categories: math.CO
Subjects: 94B05, 05B05
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