About a moduli space of elliptic curves and the Golay code G_{24}

TL;DR

This paper explores the algebraic structures of a moduli space of complex tori, revealing a connection to the Golay code G_{24} through triangle decompositions of the Veech curve T*.

Contribution

It establishes a novel link between the geometry of a moduli space of elliptic curves and the combinatorial structure of the Golay code G_{24}.

Findings

Identifies algebraic structures related to triangle decompositions of the Veech curve T*.

Shows that these structures produce the Golay code G_{24}.

Provides a geometric interpretation of the Golay code within the moduli space context.

Abstract

We investigate algebraic structures related to triangle decompositions of a moduli space of complex tori given by the Veech curve T*. We show that these structures produce the binary error correcting Golay code G_{24}