A kind of disjoint cyclic perfect mendelsohn difference family and its applications in strictly optimal FHSs

摘要

In this paper, we propose a direct construction of disjoint cyclic perfect Mendelsohn difference family (CP-MDF) from Zeng-Cai-Tang-Yang cyclotomy. As we all know, strictly optimal frequency-hopping sequences (FHSs) are a kind of optimal FHSs which has optimal Hamming auto-correlation for any correlation window. As an application of our disjoint CPMDFs, we present more flexible combinatorial constructions of strictly optimal FHSs, which can produce new strictly optimal FHSs.