Important note: the package is being updated: a new subpackge, DalgSeq, is under construction. It will contains all commands for difference-algebraic sequences, including thre recent ...

An equation of the form \(y = mx + c\) where \(m\) and \(c\) are numbers, gives a straight line when values of \(x\) and corresponding values of \(y\) are plotted on a grid. A straight line is a ...

Almost perfect nonlinear (APN) functions play a pivotal role in cryptography, particularly in securing symmetric key algorithms against differential attacks. Their algebraic properties, including ...

American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

ABSTRACT: This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental.

Abstract: In the past few years, algebraic attacks against stream ciphers with linear feedback function have been significantly improved. As a response to the new attacks, the notion of algebraic ...

This article gives a proof of the Langlands-Shelstad fundamental lemma for the spherical Hecke algebra for every unramified p-adic reductive group G in large positive characteristic. The proof is ...

Boolean functions form the backbone of modern cryptographic systems, serving as essential components in the design of stream ciphers, block ciphers, and other security protocols. Their inherent ...