Finite field/Related Articles: Difference between revisions

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Revision as of 15:33, 11 January 2010

This article is developing and not approved.
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A list of Citizendium articles, and planned articles, about Finite field.
See also changes related to Finite field, or pages that link to Finite field or to this page or whose text contains "Finite field".

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  • Discrete logarithm [r]: The problem of finding logarithms in a finite field. [e]
  • Field automorphism [r]: An invertible function from a field onto itself which respects the field operations of addition and multiplication. [e]
  • Field extension [r]: A field containing a given field as a subfield. [e]
  • Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic. [e]
  • Frobenius map [r]: The p-th power map considered as acting on commutative algebras or fields of prime characteristic p. [e]
  • Moore determinant [r]: A determinant defined over a finite field which has successive powers of the Frobenius automorphism applied to the first column. [e]
  • Ordered field [r]: A field with a total order which is compatible with the algebraic operations. [e]
  • Preparata code [r]: A class of non-linear double-error-correcting codes. [e]
  • Primitive element [r]: Add brief definition or description
  • Quadratic equation [r]: An equation of the form ax2 + bx + c = 0 where a, b and c are constants. [e]
  • Quadratic field [r]: A field which is an extension of its prime field of degree two. [e]
  • Root of unity [r]: An algebraic quantity some power of which is equal to one. [e]