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Search of primitive polynomials over finite fields

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Publication:749611
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DOI10.1016/0022-4049(90)90115-XzbMath0713.11085MaRDI QIDQ749611

Marc Rybowicz

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

primitive polynomials over finite fields


Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Polynomials over finite fields (11T06)


Related Items (1)

The combinatorial power of the companion matrix



Cites Work

  • Construction of Galois Fields of Characteristic Two and Irreducible Polynomials
  • All Factors q < 10 8 in All Mersenne Numbers 2 p - 1, p Prime < 10 4
  • Improving an algorithm for factoring polynomials over a finite field and constructing large irreducible polynomials
  • A Knapsack Type Public Key Cryptosystem Based On Arithmetic in Finite Fields (preliminary draft)
  • New directions in cryptography
  • Computing in GF(q)
  • Analysis and synthesis of polynomials and sequences over&lt;tex&gt;GF(2)&lt;/tex&gt;
  • Primitive Roots in a Finite Field
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