2024/10/30 by Raúl Manuel Falcón Ganfornina, Falcón, Raúl M., Lorenzo Mella +1
Engineering · Mathematics · #graph theory and CDMA systems #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2410.23216
A Heffter array over an additive group G is any partially filled array A satisfying that: (1) each one of its rows and columns sum to zero in G, and (2) if i∈ G∖\0\, then either i or -i appears exactly once in A. In this paper, this notion is naturally generalized to that of B-Heffter array over a partial loop, where B is a set of block-sum polynomials over an affine 1-design on the set of entries in A.