Madoka Awada

collaborators

3 papers

math.CO2023

A criterion for determining whether multiple shells support a $t$ -design

Madoka Awada, Reina Ishikawa, Tsuyoshi Miezaki +1

In this paper, we provide a criterion for determining whether multiple shells support a $t$ -design. We construct as a corollary an infinite series of $2$ -designs using power residu…

math.CO2023

Infinite series of $3$ -designs in the extended quadratic residue code

Madoka Awada

In this paper, we show infinite series of $3$ -designs in the extended quadratic residue codes over $F_{r^{2}}$ for a prime $r$ .

math.CO2023

A note on $t$ -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 criterion for determining whether multiple shells support a t-design

Infinite series of 3-designs in the extended quadratic residue code

A note on t-designs in isodual codes

A criterion for determining whether multiple shells support a $t$ -design

Infinite series of $3$ -designs in the extended quadratic residue code

A note on $t$ -designs in isodual codes