Shohei Satake

collaborators

3 papers

cs.IT2026

$2$ -quasi-perfect Lee codes and abelian Ramanujan graphs: a new construction and relationship

Shohei Satake

This paper presents a new explicit infinite family of 2-quasi-perfect $p$ -ary Lee codes of length $\frac{q - 1}{2}$ and dimension $\frac{q - 1}{2} - 2 k$ for $q = p^{k} \geq 14$ , $p \geq 5$ a…

math.NT2025

Topological properties of generalized Markoff mod $p$ graphs

Shohei Satake, Yoshinori Yamasaki

The generalized Markoff mod $p$ graph is defined via the equation $x^{2} + y^{2} + z^{2} = x y z + I^º$ over the finite field $F_{p}$ of prime order $p$ . In this paper, we investigate the to…

math.CO2025

On cyclotomic nearly-doubly-regular tournaments

Shohei Satake

Nearly-doubly-regular tournaments have played significant roles in extremal graph theory. In this note, we construct new cyclotomic nearly-doubly-regular tournaments and determine…

2-quasi-perfect Lee codes and abelian Ramanujan graphs: a new construction and relationship

Topological properties of generalized Markoff mod p graphs

On cyclotomic nearly-doubly-regular tournaments

$2$ -quasi-perfect Lee codes and abelian Ramanujan graphs: a new construction and relationship

Topological properties of generalized Markoff mod $p$ graphs