Work

New Records for the Hadamard Maximal Determinant Problem in Dimensions $51$, $107$, and $115$

Year: 2026

Type: preprint

Abstract: We compute new lower bounds for determinants of $\{\pm 1\}$-matrices of orders $n=51$, $n=107$ and $n=115$, improving previous recorded bounds by $3.1\%$, $0.44\%$, and $1.68\%$, respectively. We provide the data necessary to construct these matrices.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22024186

Authors: Butbaia, Giorgi, Vipulanandan, Pragatheeswaran, Tan, Justin, Huang, Xiaoyu, Saunders-A'Court, Toby, Fagan, Lucas, Passaro, Davide, Tarquini, Michele, Gukov, Sergei

Institutions: California Institute of Technology, University of Miami, University of Cambridge, Temple University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7203882635

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