A characterization of designs related to an extremal doubly-even self-dual code of length 48

Authors

Masaaki Harada, Yamagata University
Akihiro Munemasa, Tohoku University
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

7-2005

Abstract

The uniqueness of a binary doubly-even self-dual [48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.

Publisher's Statement

© Birkhäuser Verlag, Basel 2005. Publisher’s version of record: https://doi.org/10.1007/s00026-005-0250-x

Publication Title

Annals of Combinatorics

Recommended Citation

Harada, M., Munemasa, A., & Tonchev, V. (2005). A characterization of designs related to an extremal doubly-even self-dual code of length 48. Annals of Combinatorics, 9(2), 189-198. http://doi.org/10.1007/s00026-005-0250-x
Retrieved from: https://digitalcommons.mtu.edu/math-fp/120