Some theorems on irreducible reciprocal polynomials over a finite field.
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Publication:5537800
DOI10.1515/crll.1967.227.212zbMath0155.09801OpenAlexW21807166MaRDI QIDQ5537800
Publication date: 1967
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002182513
Related Items (21)
Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields ⋮ Enumeration of self-reciprocal irreducible monic polynomials with prescribed leading coefficients over a finite field ⋮ Generalizations of self-reciprocal polynomials ⋮ The decomposition of the permutation character \(1^{\text{GL}(2n,q)}_{\text{GL}(n,q^2)}\) ⋮ New estimates and existence results about irreducible polynomials and self-reciprocal irreducible polynomials with prescribed coefficients over a finite field ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ On the Hansen-Mullen conjecture for self-reciprocal irreducible polynomials ⋮ Generalization of a theorem of Carlitz ⋮ Factorization of a class of polynomials over finite fields ⋮ An asymptotic formula for the number of irreducible transformation shift registers ⋮ On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields ⋮ Factors of Dickson polynomials over finite fields. ⋮ The explicit construction of irreducible polynomials over finite fields ⋮ On the action of \(\text{GL}_2(\mathbb F_q)\) on irreducible polynomials over \(\mathbb F_q\) ⋮ On different families of invariant irreducible polynomials over \(\mathbb F_2\) ⋮ On the construction of irreducible self-reciprocal polynomials over finite fields ⋮ Visibly Irreducible Polynomials over Finite Fields ⋮ Traces of powers of matrices over finite fields ⋮ Irreducible polynomials from a cubic transformation ⋮ Enumeration of linear transformation shift registers ⋮ On atomic density of numerical semigroup algebras
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