A Characterization of Designs Related to an Extremal Doubly-Even Self-Dual Code of Length 48

Masaaki Harada^{1}, Akihiro Munemasa^{2} and Vladimir D. Tonchev^{3}

mharada@sci.kj.yamagata-u.ac.jp

munemasa@math.is.tohoku.ac.jp

tonchev@mtu.edu

Annals of Combinatorics 9 (2) p.89-198 June, 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.

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