6 papers
A Hadamard Cube of Order 22
Amin Bahmanian, Sho Suda
We give an explicit three-dimensional Hadamard matrix of order . The example is presented by listing its twenty-two two-dimensional slices.
Sudoku Analogues of Baranyai's Theorem
Amin Bahmanian, Sho Suda
Motivated by higher-dimensional generalizations of Sudoku, we study exact block-structured decompositions, algebraic characterizations, and orthogonality for Sudoku hypercubes. Let…
Three-dimensional symmetric designs of propriety 3
Amin Bahmanian, Vedran Krčadinac, Lucija Relić +1
We define symmetric designs of dimension and propriety , providing a unifying generalization of several classes of higher-dimensional symmetric designs previously studied. W…
Existence and nonexistence of spherical -designs of minimal type
Sho Suda, Zili Xu, Wei-Hsuan Yu
This paper investigates the existence and properties of spherical -designs of minimal type. We focus on two cases: tight spherical -designs and antipodal spherical -distan…
Pseudo-Euclidean representations of switching classes of Johnson and Hamming graphs with minimal dimension
Hiroshi Nozaki, Masashi Shinohara, Sho Suda
This paper considers minimum-dimensional representations of graphs in pseudo-Euclidean spaces, where adjacency and non-adjacency relations are reflected in fixed scalar square valu…
Codes with symmetric distances
Gábor Hegedüs, Sho Suda, Ziqing Xiang
For a code in a space with maximal distance , we say that has symmetric distances if its distance set is symmetric with respect to . In this paper, we prov…