Upper bound of t value of support t-designs of extremal Type III and IV codes.
Year: 2020
Type: preprint
Abstract: 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).
Source: arXiv (Cornell University)
Authors: Tsuyoshi Miezaki, Hiroyuki Nakasora
Institutions: University of the Ryukyus, Kobe Gakuin University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3045665643