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Perfect bitrades in Johnson graphs Full article

Conference 2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems
24-27 Oct 2023 , Москва, МИЭМ ВШЭ
Source 2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems (REDUNDANCY)
Compilation, 2023. 204 c.
Output data Year: 2023, Pages: 54-58 Pages count : 5 DOI: 10.1109/Redundancy59964.2023.10330180
Tags perfect code, t-design, perfect bitrade, spherical bitrade, component, Delsarte hypothesis, constant weight code, Hadamard design, Nordstrom-Robinson code
Authors Mogilnykh Ivan 1 , Vorob'ev Konstantin 1
Affiliations
1 Sobolev Institute of Mathematics

Funding (1)

1 Russian Science Foundation 22-11-00266

Abstract: Показано существование двух совершенных битрейдов в графах Джонсона J(14,7) и J(18,7). Доказано несуществование совершенных битрейдов в графах Джонсона J(2w+1,w) J(2w+2,w) и J(2w+3,w) для любого w>1.
Cite: Mogilnykh I. , Vorob'ev K.
Perfect bitrades in Johnson graphs
In compilation 2023 XVIII International Symposium on Problems of Redundancy in Information and Control Systems (REDUNDANCY). 2023. – C.54-58. DOI: 10.1109/Redundancy59964.2023.10330180 Scopus OpenAlex
Dates:
Published print: Dec 4, 2023
Published online: Dec 4, 2023
Identifiers:
Scopus: 2-s2.0-85180153021
OpenAlex: W4389313706
Citing: Пока нет цитирований
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