# Modular arithmetic

Xem 1-9 trên 9 kết quả Modular arithmetic
• ### 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.

• ### Low-Power Elliptic Curve Cryptography Using Scaled Modular Arithmetic

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.

• ### Chương 10: Error Detection and Correction

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

• ### 104 Number Theory Problems

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.

• ### Analytic Number Theory Clay Mathematics Proceedings

Articles in this volume are based on talks given at the Gauss-Dirichlet Conference held in GÃ¶ttingen 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.

• ### Public key cryptography applications algorithms and mathematical explanations

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.

• ### Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field

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 ).

• ### Basic Mathematics for Economists - Mike Rosser

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.