This is the second edition of Understanding Cryptography. Ever since we released the first
edition in 2009, we have been humbled by the many positive responses we received from …

Undergraduate Texts in Mathematics are generally aimed at third-and fourthyear
undergraduate mathematics students at North American universities. These texts strive to …

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In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative
and noncommutative. Aimed at students in mathematics, engineering and the physical …

Modern cryptography depends heavily on number theory, with primality test ing, factoring,
discrete logarithms (indices), and elliptic curves being perhaps the most prominent subject …

Continued fractions constitute a very important subject in mathematics. Their importance lies
in the fact that they have very interesting and beautiful applications in many fields in pure …

This book is intended to serve as a one-semester introductory course in number theory.
Throughout the book a historical perspective has been adopted and emphasis is given to …

In a manner accessible to beginning undergraduates, An Invitation to Modern Number
Theory introduces many of the central problems, conjectures, results, and techniques of the …

Let p be an odd prime with p≠ 5. In this paper, we first provide the structures of repeated-
root cyclic codes of length 10 ps over finite fields F pm. We then give two methods of …