Topics in Galois Fields

DOI10.1007/978-3-030-60806-4zbMath1467.11120OpenAlexW3090942160MaRDI QIDQ5138447

Dirk Hachenberger, Dieter Jungnickel

Publication date: 3 December 2020

Published in: Algorithms and Computation in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-60806-4

zbMATH Keywords

finite fieldprimitive elementspolynomialsbasesalgebraic closure

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Finite fields (field-theoretic aspects) (12E20) Finite fields and commutative rings (number-theoretic aspects) (11Txx)

Related Items (9)

The additive index of polynomials over finite fields ⋮ Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ On arithmetic progressions in finite fields ⋮ About \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ 𝑝-group Galois covers of curves in characteristic 𝑝 ⋮ Characterization of irreducible polynomials over a special principal ideal ring ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields ⋮ Cyclic codes over a non-chain ring \(R_{e,q}\) and their application to LCD codes ⋮ Interpolation of the Zech's logarithm: explicit forms

This page was built for publication: Topics in Galois Fields