H. Nakasora

activity

20132023

most citedOn the support designs of extremal binary doubly even self-dual codes

10 citations · 10 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.CO2020

A note on the Assmus--Mattson theorem for some binary codes

Tsuyoshi Miezaki, Hiroyuki Nakasora

We previously proposed the first nontrivial examples of a code having support $t$ -designs for all weights obtained from the Assmus-Mattson theorem and having support $t^{'}$ -designs f…

math.CO2020

A note on Assmus--Mattson type theorems

Tsuyoshi Miezaki, Akihiro Munemasa, Hiroyuki Nakasora

In the present paper, we give Assmus--Mattson type theorems for codes and lattices. We show that a binary doubly even self-dual code of length 24m with minimum weight 4m provides a…

math.CO2020

On the support $t$ -designs of extremal Type III and IV codes

Tsuyoshi Miezaki, Hiroyuki Nakasora

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 $δ (C)$ and $s (C)$ : $δ (C)$ is the largest integer…

A note on the Assmus--Mattson theorem for some binary codes

A note on Assmus--Mattson type theorems

On the support t-designs of extremal Type III and IV codes

On the support $t$ -designs of extremal Type III and IV codes