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20012026
most citedEquiangular lines in Euclidean spaces

96 citations · 292 across the 62 of their papers we have counts for

collaborators

67 papers

math.CO2026

On the spherical design properties of a - and -polynomial association scheme

Jesse Lansdown, William J. Martin, Akihiro Munemasa +2

We show that the strength as a spherical design of the spherical embedding of a - and -polynomial association scheme with at least three classes with respect to a -polynom…

math.NT2026

The Minimal Absolute Value of Sums of Fifth Roots of Unity

Akihiro Munemasa, Guillermo Núñez Ponasso

We determine the minimal absolute value of a non-vanishing sum of fifth roots of unity chosen with repetition, and characterize the corresponding sums. As a function of , th…

math.CO2026

Sets of equiangular lines in dimension constructed from

Akihiro Munemasa, Ferenc Szöllősi, Kiyoto Yoshino

In 2023, Greaves, Syatriadi, and Yatsyna found a set of equiangular lines in , breaking the previous record. In 2025, Lin, Munemasa, Taniguchi, and Yoshino co…

math.CO2025

Roux schemes which carry association schemes locally

Alexander L. Gavrilyuk, Jesse Lansdown, Akihiro Munemasa +1

A roux scheme is an association scheme formed from a special "roux" matrix and the regular permutation representation of an associated group. They were introduced by Iverson and Mi…

math.CO2025

New Constructions of Distance-Biregular Graphs

Blas Fernández, Ferdinand Ihringer, Sabrina Lato +1

We construct a new family of distance-biregular graphs related to hyperovals and a new sporadic example of a distance-biregular graph related to Mathon's perp system. The infinite…

math.CO2025

A 2-distance set with 277 points in the Euclidean space of dimension 23

Hong-Jun Ge, Jack Koolen, Akihiro Munemasa

We construct a -distance set with points in the -dimensional Euclidean space having distances and .