This book contains the proceedings of a July 2007 conference, offering five invited survey papers as well as original research articles covering theoretical and applied areas related to finite fields. The papers reflect the growing importance of finite fields, and of the computational and algorithmic aspects of finite field problems, in the mathematical and computer science communities, in areas such as number theory, algebra, computer science, statistics, and engineering. Some specific topics covered include analysis and optimization of elliptic-curve single-scalar multiplication, subsequences of Sidelnikov sequences, Dickson polynomial permutations, and discrete logarithms in curves over finite fields. There is no subject index. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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"This book gives a quick, clear introduction to finite fields and discusses applications in combinatorics, algebraic coding theory, and cryptography. ... The work contains more than 100 exercises, appendixes on number theoretic and algebraic background, exercise hints, and a list of 65 references." ---- CHOICE Magazine
"The book is very well written and most stimulating. In addition, it is well suited for self-study. The student having a course using this book or anyone studying it will be substantially rewarded. On the whole, the authors succeed in providing a nice introduction to an active field of research." ---- Mathematical Reviews
"Altogether, this undergraduate text is an extremely carefully written introduction to the subject for beginners, which stands out by its remarkable features: instructional mastery, lucidity, diversity, profundity, topicality, and user-friendly determination. Being a lovely invitation to this current topic of mathematical (and interdisciplinary) research, the book is perfectly suitable both for classroom use and for individual study." ---- Zentralblatt MATH
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