Tsuyoshi Miezaki

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

2020 · arXiv (Cornell University)

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 …

On the cycle index and the weight enumerator

2018 · arXiv (Cornell University)

In this paper, we introduce the concept of the complete cycle index and discuss a relation with the complete weight enumerator in coding theory. This work was motivated by Cameron's lecture note "Polynomial aspects of …