TY - JOUR
T1 - Design-theoretic analogies between codes, lattices, and vertex operator algebras
AU - Miezaki, Tsuyoshi
N1 - Funding Information:
The author would like to thank Prof. Hiroki Shimakura, for his helpful discussions and contributions to this research. The author would also like to thank the anonymous reviewers for their beneficial comments on an earlier version of the manuscript. This work was supported by JSPS KAKENHI (18K03217).
Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC part of Springer Nature.
PY - 2021/5
Y1 - 2021/5
N2 - 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.
AB - 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.
KW - Codes
KW - Combinatorial designs
KW - Conformal designs
KW - Lattices
KW - Spherical designs
KW - Vertex operator algebras
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U2 - 10.1007/s10623-021-00842-2
DO - 10.1007/s10623-021-00842-2
M3 - Article
AN - SCOPUS:85100583560
SN - 0925-1022
VL - 89
SP - 763
EP - 780
JO - Designs, Codes, and Cryptography
JF - Designs, Codes, and Cryptography
IS - 5
ER -