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 …

This paper provides a mathematical analysis of optimal algebraic manipulation detection
(AMD) codes. We prove several lower bounds on the success probability of an adversary …

Difference systems of sets (DSS) were introduced in 1971 by Levenstein for the construction
of codes for synchronization, and are closely related to cyclic difference families. In this …

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 …

Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection
with code synchronization. This paper gives new constructions of DSS obtained from …

Difference systems of sets (DSS) are combinatorial configurations that arise in connection
with code synchronization. A method for the construction of DSS from partitions of cyclic …

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 …

Difference sets and their generalisations to difference families arise from the study of
designs and many other applications. Here we give a brief survey of some of these …

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