With today's technology, many applications rely on the existence of small devices that can
exchange information and form communication networks. In a significant portion of such …

Abstract Motivation The positional Burrows–Wheeler transform (PBWT) has led to
tremendous strides in haplotype matching on biobank-scale data. For genetic genealogical …

In this paper, using properties of Ramanujan sums and of the discrete Fourier transform of
arithmetic functions, we give an explicit formula for the number of solutions of the linear …

Universal hashing, discovered by Carter and Wegman in 1979, has many important
applications in computer science. MMH∗, which was shown to be Δ-universal by Halevi and …

Congruences are ubiquitous in computer science, engineering, mathematics, and related
areas. Developing techniques for finding (the number of) solutions of congruences is an …

(57) ABSTRACT A method and system for authenticating messages is pro vided. A message
authentication system generates an encrypted message by encrypting with a key a …

In cryptography, secure channels enable the confidential and authenticated message
exchange between authorized users. A generic approach of constructing such channels is …

We approximate d-variate periodic functions in weighted Korobov spaces with general
weight parameters using n function values at lattice points. We do not limit n to be a prime …

It is well known that a congruence ax≡ b (mod n) has a solution if and only if, and, if the
condition is satisfied, the number of incongruent solutions equals. In 2010, Alomair, Clark …

Š. Schwarz in his paper [SCHWARZ, Š.: Zur Theorie der Halbgruppen, Sborník prác
Prírodovedeckej fakulty Slovenskej univerzity v Bratislave, Vol. VI, Bratislava, 1943, 64 pp.] …