On Mersenne polynomials over \(\mathbb{F}_2\)
From MaRDI portal
Publication:2326698
DOI10.1016/j.ffa.2019.06.006zbMath1459.11231OpenAlexW2957531368MaRDI QIDQ2326698
Olivier Rahavandrainy, Luis H. Gallardo
Publication date: 10 October 2019
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2019.06.006
Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (6)
Unnamed Item ⋮ Some families of unitary perfect polynomials over \(\mathbb{F}_2\) ⋮ On the index of special perfect polynomials ⋮ Reduction-free multiplication for finite fields and polynomial rings ⋮ Unnamed Item ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]
Cites Work
- Unnamed Item
- The parity of the number of irreducible factors for some pentanomials
- On even (unitary) perfect polynomials over \(\mathbb F_2\)
- Parity of the number of irreducible factors for composite polynomials
- There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors
- Factorization of polynomials over finite fields
- Round trinomials
- Characterization of sporadic perfect polynomials over \(\mathbb{F}_2\)
- The Nagell-Ljunggren equation via Runge's method
- On a conjecture of Beard, O'Connell and West concerning perfect polynomials
- Odd perfect polynomials over \(\mathbb F_2\)
- The sum of the divisors of a polynomial
- The great trinomial hunt
- On the Nagell-Ljunggren equation $(x^n - 1)/(x - 1) = y^q$
- Even perfect polynomials over $F_2$ with four prime factors
- A Generalization of Swan's Theorem
- On trinomials xn + x}2 + 1 and x8/ ± 3 + xk + 1 irreducible over GF(2)
- A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377
- On xn + x + 1 over GF(2)
This page was built for publication: On Mersenne polynomials over \(\mathbb{F}_2\)
