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  • Arithmetic of Finite Fields

    10th International Workshop, WAIFI 2024, Ottawa, ON, Canada, June 10–12, 2024, Revised Selected Papers

    Series series Springer Nature Proceedings Computer Science
    This book constitutes the refereed proceedings of the 10th International Workshop on Arithmetic of Finite Fields, WAIFI 2024, held in Ottawa, Ontario, Canada, during June 10–12, 2024.The 17 full papers included in this book were carefully reviewed and selected from 29 submissions. They were organized in topical sections as follows: Invited talks; Coding theory; Cryptography and Boolean functions; ... Read more

    $62.99 USD

  • Handbook of Finite Fields

    Series series Discrete Mathematics and Its Applications
    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 ... Read more

    $180.00 USD

  • Contemporary Developments In Finite Fields And Applications

    The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in ... Read more

    $42.29 USD

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  • Numerical Analysis

    Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this ... Read more

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  • Computational Complexity

    A Modern Approach

    This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and ... Read more

    $65.59 USD

  • Algebraic Coding Theory (Revised Edition)

    This is the revised edition of Berlekamp's famous book, 'Algebraic Coding Theory', originally published in 1968, wherein he introduced several algorithms which have subsequently dominated engineering practice in this field. One of these is an algorithm for decoding Reed-Solomon and Bose-Chaudhuri-Hocquenghem codes that subsequently became known as the Berlekamp-Massey Algorithm. Another is the ... Read more

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  • Applied Number Theory

    Series series Mathematics and Statistics (R0)
    This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and ... Read more

    $58.49 USD

  • Codes and Rings

    Theory and Practice

    Series Book Volume - - Pure and Applied Mathematics
    Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied ... Read more

    $134.99 USD

  • Algebraic Geometry for Coding Theory and Cryptography

    IPAM, Los Angeles, CA, February 2016

    Series series Springer Nature Proceedings excluding Computer Science
    Covering topics in algebraic geometry, coding theory, and cryptography, this volume presents interdisciplinary group research completed for the February 2016 conference at the Institute for Pure and Applied Mathematics (IPAM) in cooperation with the Association for Women in Mathematics (AWM). The conference gathered research communities across disciplines to share ideas and problems in their ... Read more

    $170.09 USD

  • An Introduction to Kolmogorov Complexity and Its Applications

    Series series Computer Science (R0)
    “The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic LogicWritten by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the ... Read more

    $76.49 USD

  • Perfect Codes and Related Structures

    by Tuvi Etzion ...
    In this monograph, we develop the theory of one of the most fascinating topics in coding theory, namely, perfect codes and related structures. Perfect codes are considered to be the most beautiful structure in coding theory, at least from the mathematical side. These codes are the largest ones with their given parameters. The book develops the theory of these codes in various metrics — Hamming, ... Read more

    $106.99 USD