Preimages of \(p\)-linearized polynomials over \(\mathbb{F}_p\)

DOI10.1007/s12095-021-00514-xzbMath1496.11137arXiv2011.10954OpenAlexW3191456655MaRDI QIDQ2130027

Kwang Ho Kim, Jong Hyok Choe, Sihem Mesnager, Dok Nam Lee

Publication date: 25 April 2022

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10954

zbMATH Keywords

linearized polynomialequationsorder of a polynomial

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Equations in general fields (12E12) Polynomials over finite fields (11T06)

Cites Work

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• Smoothness and factoring polynomials over finite fields
• A characterization of linearized polynomials with maximum kernel
• Solving some affine equations over finite fields
• Solving \(X^{q+1}+X+a=0\) over finite fields
• On the Menezes-Teske-Weng conjecture
• On the number of roots of some linearized polynomials
• On the number of the rational zeros of linearized polynomials and the second-order nonlinearity of cubic Boolean functions
• Solving \(x+x^{2^l}+\ldots +x^{2^{ml}}=a\) over \(\mathbb{F}_{2^n} \)
• A condition for scattered linearized polynomials involving Dickson matrices
• Scalar \(q\)-subresultants and Dickson matrices
• Solving \(x^{2^k + 1} + x + a = 0\) in \(\mathbb{F}_{2^n}\) with \(\gcd(n, k) = 1\)
• A characterization of the number of roots of linearized and projective polynomials in the field of coefficients
• Linearized polynomials over finite fields revisited
• Improving an algorithm for factoring polynomials over a finite field and constructing large irreducible polynomials
• A New Algorithm for Factoring Polynomials Over Finite Fields
• Subquadratic-time factoring of polynomials over finite fields
• Some results on linearized trinomials that split completely

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