WebThe theory of finite fields is a branch of modern algebra that has come to the fore in the last fifty years because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits. This book, the first one devoted entirely to this theory, provides comprehensive coverage of the literature on finite fields and their … WebFinite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields.As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic …
Finite fields and their applications -外文期刊【掌桥科研】
WebAsymptotically good towers of function fields with small p-rank. Nurdagül Anbar, Henning Stichtenoth, Seher Tutdere. Article 101909. Download PDF. Article preview. Research … Web《Finite fields and their applications》共发表1353篇文献,掌桥科研收录2004年以来所有《Finite fields and their applications》期刊内所有文献, 期刊刊频为0.779,ISSN … download teardown for pc free
Finite Fields and Their Applications Vol 76, December …
WebMar 24, 2024 · A finite field is a field with a finite field order (i.e., number of elements), also called a Galois field. The order of a finite field is always a prime or a power of a prime (Birkhoff and Mac Lane 1996). For each prime power, there exists exactly one (with the usual caveat that "exactly one" means "exactly one up to an isomorphism") finite field … WebThis chapter is devoted to the problem of constructing irreducible polynomials over a given finite field. Such polynomials are used to implement arithmetic in extension fields and are found in many applications, including coding theory [5], cryptography [13], computer algebra systems [11], multivariate polynomial factorization [21], and parallel polynomial … WebJun 5, 2012 · The field of integers modulo a prime number is, of course, the most familiar example of a finite field, but many of its properties extend to arbitrary finite fields. The characterization of finite fields (see Section 1) shows that every finite field is of prime-power order and that, conversely, for every prime power there exists a finite field ... clavin and finch