Exceptional designs in some extended quadratic residue codes

May 05, 2023 ยท The Ethereal ยท ๐Ÿ› Journal of combinatorial designs (Print)

๐Ÿ”ฎ THE ETHEREAL: The Ethereal
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Authors Reina Ishikawa arXiv ID 2305.03285 Category math.CO: Combinatorics Cross-listed cs.IT, math.GR, math.NT Citations 7 Venue Journal of combinatorial designs (Print) Last Checked 6 months ago
Abstract
In the present paper, we give proofs of the existence of a 3-design in the extended ternary quadratic residue code of length 14 and the extended quaternary quadratic residue code of length 18.
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