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cyclic polynomial

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  • Cyclic code — In coding theory, cyclic codes are linear block error correcting codes that have convenient algebraic structures for efficient error detection and correction. Contents 1 Definition 2 Algebraic structure 3 Examples …   Wikipedia

  • Cyclic redundancy check — A cyclic redundancy check (CRC) is an error detecting code designed to detect accidental changes to raw computer data, and is commonly used in digital networks and storage devices such as hard disk drives. Blocks of data entering these systems… …   Wikipedia

  • Polynomial code — In coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator… …   Wikipedia

  • Cyclic cellular automaton — A one dimensional cyclic cellular automaton with n = 4, run for 300 steps from a random initial configuration. The cyclic cellular automaton is a cellular automaton rule developed by David Griffeath and studied by several other cellular automaton …   Wikipedia

  • Cyclic Redundancy Check — Contrôle de redondance cyclique Pour les articles homonymes, voir CRC. En informatique, un contrôle de redondance cyclique ou CRC (Cyclic Redundancy Check) est un outil permettant de détecter les erreurs de transmission par ajout de redondance.… …   Wikipédia en Français

  • Cyclic redundancy check — Contrôle de redondance cyclique Pour les articles homonymes, voir CRC. En informatique, un contrôle de redondance cyclique ou CRC (Cyclic Redundancy Check) est un outil permettant de détecter les erreurs de transmission par ajout de redondance.… …   Wikipédia en Français

  • cyclic redundancy check —    (CRC)    An error detection method in which the block check character is the remainder after dividing all the serialized bits in a transmission block by a predetermined binary number or a polynomial based on transmitted data …   IT glossary of terms, acronyms and abbreviations

  • Alexander polynomial — In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II discovered this, the first knot polynomial, in 1923. In 1969, John Conway showed a… …   Wikipedia

  • Generic polynomial — In Galois theory, a branch of modern algebra, a generic polynomial for a finite group G and field F is a monic polynomial P with coefficients in the field L = F ( t 1, ..., t n ) of F with n indeterminates adjoined, such that the splitting field… …   Wikipedia

  • Conway polynomial (finite fields) — In mathematics, the Conway polynomial Cp,n for the finite field Fpn is a particular irreducible polynomial of degree n over Fp that can be used to define a standard representation of Fpn as a splitting field of Fp. Conway polynomials were named… …   Wikipedia

  • Symmetric polynomial — This article is about individual symmetric polynomials. For the ring of symmetric polynomials, see ring of symmetric functions. In mathematics, a symmetric polynomial is a polynomial P(X1, X2, …, Xn) in n variables, such that if any of the… …   Wikipedia

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