Handbook of Finite Fields

Handbook of Finite Fields

Mullen, Gary L.; Panario, Daniel

Taylor & Francis Ltd

10/2024

1070

Mole

9781032917320

15 a 20 dias

Descrição não disponível.
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;theory and applications of finite fields;Minimal Polynomial;history of finite fields;Primitive Polynomials;theoretical properties of finite fields;Permutation Polynomials;finite fields in combinatorics;Dickson Polynomials;finite fields in algebraic coding theory;Irreducible Monic Polynomials;finite fields in cryptographic systems;Newton Polygon;finite fields in quantum information theory;Hyperelliptic Curve;finite fields in biology;Elliptic Curve;finite fields in engineering;Stream Ciphers;tables of polynomials;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