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The support designs of the triply even binary codes of length 48
Author(s) -
Miezaki Tsuyoshi,
Nakasora Hiroyuki
Publication year - 2019
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21670
Subject(s) - dual polyhedron , mathematics , binary number , combinatorics , discrete mathematics , arithmetic
Abstract In this paper, we present examples of codes all of whose weight classes support 1‐designs, with duals whose classes include two that support 2‐designs. We can find these examples in the triply even binary codes of length 48, which have been classified by Betsumiya and Munemasa.