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On the index of special perfect polynomials

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Publication:6146505
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DOI10.15330/cmp.15.2.507-513OpenAlexW4389672038MaRDI QIDQ6146505

Luis H. Gallardo

Publication date: 31 January 2024

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.15.2.507-513


zbMATH Keywords

factorizationcharacteristic 2cyclotomic polynomialspecial perfect polynomial


Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic theory of polynomial rings over finite fields (11T55)





Cites Work

  • Unnamed Item
  • Unnamed Item
  • On even (unitary) perfect polynomials over \(\mathbb F_2\)
  • There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors
  • Factorization of polynomials over finite fields
  • Characterization of sporadic perfect polynomials over \(\mathbb{F}_2\)
  • On Mersenne polynomials over \(\mathbb{F}_2\)
  • Counting perfect polynomials
  • Odd perfect polynomials over \(\mathbb F_2\)
  • The sum of the divisors of a polynomial




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