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Factoring of \(x^ n -1\) and orthogonalization over finite fields of characteristic 2

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Publication:1340509
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DOI10.1007/BF01270930zbMath0818.11046MaRDI QIDQ1340509

Hervé Chabanne

Publication date: 28 August 1995

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)


zbMATH Keywords

finite fieldprimitive idempotentsdeterministic algorithmcomplete factorization of \(x^ n -1\)tower of extensions


Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Algebraic number theory computations (11Y40)


Related Items

Univariate polynomial factorization over finite fields



Cites Work

  • A Deterministic Algorithm for Factorizing Polynomials of Fq [X]
  • The concatenated structure of cyclic and Abelian codes
  • A Deterministic Algorithm for Factorizing Polynomials over Extensions GF(pm) of GF(p), p a Small Prime
  • The Structure and Properties of Binary Cyclic Alphabets
  • Coding theory
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