arXiv:2002.11931 Abstract | arXiv Analytics

arXiv:2002.11931 [math.CO]Abstract References Reviews Resources

Design-theoretic analogies between codes, lattices, and vertex operator algebras

Published 2020-02-27Version 1

There are many analogies between codes, lattices, and vertex operator algebras. For example, extremal objects are good examples of combinatorial, spherical, and conformal designs. In this study, we investigated these objects from the aspect of design theory.

Comments: 18 pages

Categories: math.CO, math.GR, math.NT, math.QA

Subjects: 17B69, 05B05, 11F03, 05B30, 51E05, 62K10

Keywords: vertex operator algebras, design-theoretic analogies, design theory, extremal objects, conformal designs

Related articles: Most relevant | Search more

arXiv:2304.06220 [math.CO] (Published 2023-04-13)

Jacobi polynomials and design theory II

Himadri Chakraborty, Reina Ishikawa, Yuuho Tanaka

arXiv:1008.1927 [math.CO] (Published 2010-08-11)

A new class of codes over Z_2 x Z_2

Julia Galstad, Gerald Hoehn

arXiv:2308.06008 [math.CO] (Published 2023-08-11)