| Title: | Cubes of symmetric designs |
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| Authors: | ID Krčadinac, Vedran (Author)
ID Pavčević, Mario Osvin (Author)
ID Tabak, Kristijan (Author) |
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| Files: |  AMC_Krcadinac,Osvin_Pavcevic,Tabak_2025.pdf (121,51 KB)
MD5: 0EB57CEBF9B328ED407C906021798AC6
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | We study n-dimensional matrices with {0, 1}-entries (n-cubes) such that all their 2-dimensional slices are incidence matrices of symmetric designs. A known construction of these objects obtained from difference sets is generalized so that the resulting n-cubes may have inequivalent slices. For suitable parameters, they can be transformed into n-dimensional Hadamard matrices with this property. In contrast, previously known constructions of n-dimensional designs all give examples with equivalent slices. |
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| Keywords: | symmetric design, difference set, Hadamard matrix |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 20.02.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 16 str. |
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| Numbering: | Vol. 25, no. 1, [article no.] P1.10 |
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| PID: | 20.500.12556/RUP-21982  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3222.e53 |
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| Publication date in RUP: | 21.10.2025 |
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| Views: | 316 |
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| Downloads: | 1 |
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