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A deterministic test for permutation polynomials

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Publication:1207336
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DOI10.1007/BF01202000zbMath0766.11048OpenAlexW1970367963MaRDI QIDQ1207336

Igor E. Shparlinski

Publication date: 1 April 1993

Published in: Computational Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01202000


zbMATH Keywords

finite fieldpermutation polynomialdeterministic algorithm


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Number-theoretic algorithms; complexity (11Y16) Polynomials over finite fields (11T06)


Related Items (4)

Full classification of permutation rational functions and complete rational functions of degree three over finite fields ⋮ Counting curves and their projections ⋮ The computational complexity of recognizing permutation functions ⋮ Constructing Generalized Bent Functions from Trace Forms of Galois Rings



Cites Work

  • Unnamed Item
  • Tests for Permutation Polynomials
  • Values of polynomials over finite fields
  • When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
  • A method for obtaining digital signatures and public-key cryptosystems
  • Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields
  • On Exponential Sums in Finite Fields




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