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    Handbook of Finite Fields

    Handbook of Finite Fields

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    Bog E-bog
    • Format
    • Bog, hardback
    • Engelsk

    Beskrivelse

    Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed.

    The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

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    Detaljer
    • SprogEngelsk
    • Sidetal1070
    • Udgivelsesdato17-06-2013
    • ISBN139781439873786
    • Forlag Chapman & Hall/CRC
    • FormatHardback
    Størrelse og vægt
  • Vægt1814 g
    • coffee cup img
    10 cm
    book img
    17,8 cm
    25,4 cm

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    Exponential sums Abelian varieties Curves Primitive Stream ciphers permutation Positive Integer Polynomial Elliptic curves Cyclic code Finite fields Elliptic Newton Polygon Irreducible polynomial Curve Elliptic curve Discrete logarithm Minimal polynomial MDS Code Irreducible Cayley graph LFSR Monic Dickson Polynomials Character Sums finite fields in algebraic coding theory Galois Extension finite fields in engineering Finite Field Fq finite fields in biology Hyperelliptic Curve Discrete Logarithm Problem history of finite fields Irreducible Monic Polynomials finite fields in combinatorics finite fields in cryptographic systems finite fields in quantum information theory Permutation Polynomials Reciprocal Roots Reed Muller Codes theoretical properties of finite fields Primitive Polynomials theory and applications of finite fields tables of polynomials
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