10 citations · 10 across the 9 of their papers we have counts for
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A note on the Assmus--Mattson theorem for some ternary codes (a resume)
Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be a two and three-weight ternary code. Furthermore, we assume that are -designs for all by the Assmus--Mattson theorem. We show that . As a co…
A note on -designs in isodual codes
Madoka Awada, Tsuyoshi Miezaki, Akihiro Munemasa +1
In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.
A note on the Assmus--Mattson theorem for some binary codes II
Eiichi Bannai, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be a four-weight binary code, which has all one vector. Furthermore, we assume that supports -designs for all weights obtained from the Assmus--Mattson theorem. We p…
On the Assmus--Mattson type theorem for Type I and even formally self-dual codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
In the present paper, we give the Assmus--Mattson type theorem for near-extremal Type I and even formally self-dual codes. We show the existence of -designs or -designs for t…
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 -designs for all weights obtained from the Assmus-Mattson theorem and having support -designs f…
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…
On the support -designs of extremal Type III and IV codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
Let be an extremal Type III or IV code and be the support design of for a weight . We introduce the two numbers and : is the largest integer…
The support designs of the triply even codes of length 48
Tsuyoshi Miezaki, Hiroyuki Nakasora
In this paper, we present examples of codes all of whose weight classes support 1-designs, with duals whose classes include two that support 2-designs. We can find these examples i…
On the support designs of extremal binary doubly even self-dual codes
Naoyuki Horiguchi, Tsuyoshi Miezaki, Hiroyuki Nakasora
Let D be the support design of the minimum weight of an extremal binary doubly even self-dual [24m,12m,4m+4] code. In this note, we consider the case when D becomes a t-design with…
An upper bound of the value of t of the support t-designs of extremal binary doubly even self-dual codes
Tsuyoshi Miezaki, Hiroyuki Nakasora
Let C be an extremal binary doubly even self-dual code of length n and s(C) denote the largest integer t such that the support design of C holds a t-design for some weight. In this…