Galois field system

Galois field system
криптосистема на основе полей Галуа

Англо-русский словарь по компьютерной безопасности. . 2011.

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  • Galois module — In mathematics, a Galois module is a G module where G is the Galois group of some extension of fields. The term Galois representation is frequently used when the G module is a vector space over a field or a free module over a ring, but can also… …   Wikipedia

  • Galois connection — In mathematics, especially in order theory, a Galois connection is a particular correspondence between two partially ordered sets (posets). Galois connections generalize the correspondence between subgroups and subfields investigated in Galois… …   Wikipedia

  • Finite field — In abstract algebra, a finite field or Galois field (so named in honor of Évariste Galois) is a field that contains only finitely many elements. Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and… …   Wikipedia

  • Corps de Galois — Corps fini Joseph Wedderburn démontre la dernière conjecture sur les corps finis en 1905 En mathématiques et plus précisément en algèbre, un corps fini est un corps (commutatif) dont le cardinal est fini. À isomorphisme près, un corps fini est… …   Wikipédia en Français

  • Near-field (mathematics) — This article is about the mathematical concept. For the electromagnetic concept, see Near and far field. In mathematics, a near field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws.… …   Wikipedia

  • Euler system — In mathematics, an Euler system is a technical device in the theory of Galois modules, first noticed as such in the work around 1990 by Victor Kolyvagin on Heegner points on modular elliptic curves. This concept has since undergone an axiomatic… …   Wikipedia

  • Differentially closed field — In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by Robinson (1959).… …   Wikipedia

  • Corps fini — Les défauts de gravure, l usure, la poussière que l on observe à la surface d un disque compact nécessitent un codage redondant de l information, qui permet de corriger les erreurs de lecture. Ce code correcteur d erreur utilise des codes de Reed …   Wikipédia en Français

  • Corps Fini — Joseph Wedderburn démontre la dernière conjecture sur les corps finis en 1905 En mathématiques et plus précisément en algèbre, un corps fini est un corps (commutatif) dont le cardinal est fini. À isomorphisme près, un corps fini est entièrement… …   Wikipédia en Français

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia


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