Asymptotic existence of frame-GBTDs

作者:Jiang Ling; Wang Kun; Yin JianXing*
来源:Science China Mathematics, 2015, 58(8): 1795-1802.
DOI:10.1007/s11425-014-4907-y

摘要

Generalized balanced tournament designs (GBTDs) are an equivalent characterization of a class of equitable symbol weight codes. Motivated by the construction of GBTDs, we establish in this paper an asymptotic existence theorem for frame-GBTDs of type g (n) and block size k via decompositions of edge-colored complete digraphs into prescribed edge-colored subgraphs.