Takara Kondo

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20242026

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math.CO2026

Classification of isomorphism classes of lattices from Construction A and B

Takara Kondo

In this paper, we completely classify the isomorphism classes of certain lattices $L_{A} (C)$ and $L_{B} (C)$ from a self-orthogonal code $C$ over the finite field $F_{p}$ , where…

math.CO2025

Simple $3$ -designs of $PSL (2, 2^{n})$ with block size $13$

Takara Kondo, Yuto Nogata

This paper investigates simple $3$ - $(2^{n} + 1, 13, λ)$ designs admitting $PSL$ $(2, 2^{n})$ as an automorphism group. We determine all possible values of $λ$ by systematically anal…

Classification of isomorphism classes of lattices from Construction A and B

Simple 3-designs of PSL(2,2n) with block size 13

Simple $3$ -designs of $PSL (2, 2^{n})$ with block size $13$