Irreducible polynomials over a finite field and an analogue of Gauss sums over a field of characteristic 2
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Publication:1190741
DOI10.1007/BF00971203zbMath0774.11071MaRDI QIDQ1190741
Publication date: 26 September 1992
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Related Items (8)
Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients ⋮ The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ Irreducible polynomials over \(\mathbb{F}_{2^r}\) with three prescribed coefficients ⋮ On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm ⋮ On the number of irreducible linear transformation shift registers ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ Explicit theorems on generator polynomials
Cites Work
- Unnamed Item
- A note on the construction of finite Galois fields \(\mathrm{GF}(p^n)\)
- The Distribution of Irreducibles in GF [ q,x ]
- Uniform Distribution of Polynomials Over Finite Fields
- Sums of Eight Values of a Cubic Polynomial
- A Theorem of Dickson on Irreducible Polynomials
- Proof of a conjecture of S. Chowla
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