Cubes of symmetric designsKrčadinac, Vedran (Avtor) Pavčević, Mario Osvin (Avtor) Tabak, Kristijan (Avtor) symmetric designdifference setHadamard matrixWe 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.Založba Univerze na Primorskem20252025-10-21 12:45:43Članek v reviji21982UDK: 51eISSN: 1855-3974DOI: https://doi.org/10.26493/1855-3974.3222.e53sl