Handbook of Finite Fields

Handbook of Finite Fields

Panario, Daniel; Mullen, Gary L.

Taylor & Francis Ltd

10/2024

1070

Mole

9781032917320

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INTRODUCTION: History of Finite Fields. Introduction to Finite Fields. THEORETICAL PROPERTIES: Irreducible Polynomials. Primitive Polynomials. Bases. Exponential and Character Sums. Equations over Finite Fields. Permutation Polynomials. Special Functions over Finite Fields. Sequences over Finite Fields. Algorithms. Curves over Finite Fields. Miscellaneous Theoretical Topics. APPLICATIONS: Combinatorial. Algebraic Coding Theory. Cryptography. Miscellaneous Applications. Bibliography. Index.
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Finite Fields;Irreducible Polynomial;irreducible;Minimal Polynomial;polynomial;Primitive Polynomials;permutation;Permutation Polynomials;primitive;Dickson Polynomials;elliptic;Irreducible Monic Polynomials;curve;Newton Polygon;positive;Hyperelliptic Curve;integer;Elliptic Curve;monic;Stream Ciphers;curves;Abelian Varieties;Discrete Logarithm;Discrete Logarithm Problem;Cayley Graph;Elliptic Curves;MDS Code;Cyclic Code;Character Sums;LFSR;Reed Muller Codes;Galois Extension;Finite Field Fq;Exponential Sums;Reciprocal Roots