Pulse position modulation (PPM) is a popular signal modulation technique which converts
signals into M-ary data by means of the position of a pulse within a time interval. While PPM …

The theory of cyclotomy dates back to Gauss and has a number of applications in
combinatorics, coding theory, and cryptography. Cyclotomy over a residue class ring \BBZ_v …

External difference families (EDFs) are a type of new combinatorial designs originated from
cryptography. In this paper, some earlier ideas of recursive and cyclotomic constructions of …

Difference systems of sets (DSS) are combinatorial structures that are a generalization of
cyclic difference sets and arise in connection with code synchronization. The paper surveys …

Self-synchronization under the presence of additive noise can be achieved by allocating a
certain number of bits of each codeword as markers for synchronization. Difference systems …

Abstract Difference Systems of Sets (DSS) are combinatorial structures that generalize cyclic
difference sets and are used in code synchronization. A DSS is optimal if the associated …

We introduce and explore near-complete external difference families, a partitioning of the
nonidentity elements of a group so that each nonidentity element is expressible as a …

We introduce the concept of a disjoint partial difference family (DPDF) and an external
partial difference family (EPDF), a natural generalization of the much-studied disjoint …

Difference systems of sets (DSSs) are combinatorial structures that are a generalization of
cyclic difference sets and arise in connection with code synchronization. In this …

A perfect (v,{ki∣ 1≤ i≤ s}, ρ) difference system of sets (DSS) is a collection of s disjoint ki-
subsets Di, 1≤ i≤ s, of any finite abelian group G of order v such that every non-identity …