Modular Arithmetic

Xem 1-10 trên 10 kết quả Modular Arithmetic
  • Cùng tham khảo tài liệu Modular Arithmetic sau đây. Tài liệu tham khảo cho những ai yêu thích và muốn tìm hiểu về Toán học.

    pdf3p choninview 26-08-2015 14 3   Download

  • We introduce new modulus scaling techniques for transforming a class of primes into special forms which enables efficient arithmetic. The scaling technique may be used to improve multiplication and inversion in finite fields. We present an efficient inversion algorithm that utilizes the structure of scaled modulus.

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  • Let us first discuss some issues related, directly ,indirectly, to error detection and correction. Types of Errors Redundancy Detection Versus Correction Forward Error Correction Versus Retransmission Coding Modular Arithmetic

    ppt93p trada85 22-01-2013 24 7   Download

  • This book contains 104 of the best problems used in the training and testing of the U.S. International Mathematical Olympiad (IMO) team. It is not a collection of very difficult, and impenetrable questions. Rather, the book gradually builds students’ number-theoretic skills and techniques. The first chapter provides a comprehensive introduction to number theory and its mathematical structures. This chapter can serve as a textbook for a short course in number theory.

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  • Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in Göttingen on June 20-24, 2005. The conference commemorated the 150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the birth of J.-L. Dirichlet. The volume begins with a definitive summary of the life and work of Dirichlet and continues with thirteen papers by leading experts on research topics of current interest in number theory that were directly influenced by Gauss and Dirichlet.

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  • The paper discusses some public key algorithms such as DH, RSA, DSA, ECDH and ECDSA and also gives mathematical explanations on the working of these algorithms. The paper also gives a brief introduction to modular arithmetic, which is the core arithmetic of almost all public key algorithms.

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  • In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We present two novel algorithms for efficient implementation of field multiplication and modular reduction used frequently in an elliptic curve cryptosystem defined over GF (2n ).

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  • Bài giảng "Nhập môn an toàn thông tin - Chương 2c: Toán học dùng cho mật mã" có cấu trúc gồm 2 phần cung cấp cho người học các kiến thức: Số học số nguyên (Integer Arithmetic), số học đồng dư (Modular Arithmetic). Mời các bạn cùng tham khảo.

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  • Over half of the students who enrol on economics degree courses have not studied mathematics beyond GCSE or an equivalent level. These include many mature students whose last encounter with algebra, or any other mathematics beyond basic arithmetic, is now a dim and distant memory. It is mainly for these students that this book is intended. It aims to develop their mathematical ability up to the level required for a general economics degree course (i.e. one not specializing in mathematical economics) or for a modular degree course in economics and related subjects, such as business studies.

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  • Elliptic units, which are obtained by evaluating modular units at quadratic imaginary arguments of the Poincar´e upper half-plane, provide us with a rich source of arithmetic questions and insights. They allow the analytic construction of abelian extensions of imaginary quadratic fields, encode special values of zeta functions through the Kronecker limit formula, and are a prototype for Stark’s conjectural construction of units in abelian extensions of number fields.

    pdf47p noel_noel 17-01-2013 21 6   Download

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