arXiv subjects

Madoka Awada

Publications and source records attributed to Madoka Awada.

3 recordsLinked to original sources

arXiv2023

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

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 residue codes.

math.CO↗

arXiv2023

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

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

math.CO↗

arXiv2023

A note on $t$-designs in isodual codes

In the present paper, we construct 3-designs using extended binary quadratic residue codes and their dual codes.

math.CO↗