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Cryptographic Applications of Analytic Number Theory
Igor E. Shparlinski
€ 136.11
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Description for Cryptographic Applications of Analytic Number Theory
Hardback. This work introduces new ways of using number theoretic techniques in cryptography and related areas, such as pseudorandom number generation. In particular, it contains some rigorous lower bounds on the complexity of some number theoretic and cryptographic problems. Series: Progress in Computer Science and Applied Logic. Num Pages: 414 pages, biography. BIC Classification: PBH; PBW; URY. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 23. Weight in Grams: 1710.
The book introduces new techniques that imply rigorous lower bounds on the com plexity of some number-theoretic and cryptographic problems. It also establishes certain attractive pseudorandom properties of various cryptographic primitives. These methods and techniques are based on bounds of character sums and num bers of solutions of some polynomial equations over finite fields and residue rings. Other number theoretic techniques such as sieve methods and lattice reduction algorithms are used as well. The book also contains a number of open problems and proposals for further research. The emphasis is on obtaining unconditional rigorously proved statements. The bright side of ... Read more
The book introduces new techniques that imply rigorous lower bounds on the com plexity of some number-theoretic and cryptographic problems. It also establishes certain attractive pseudorandom properties of various cryptographic primitives. These methods and techniques are based on bounds of character sums and num bers of solutions of some polynomial equations over finite fields and residue rings. Other number theoretic techniques such as sieve methods and lattice reduction algorithms are used as well. The book also contains a number of open problems and proposals for further research. The emphasis is on obtaining unconditional rigorously proved statements. The bright side of ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
414
Condition
New
Series
Progress in Computer Science and Applied Logic
Number of Pages
414
Place of Publication
Basel, Switzerland
ISBN
9783764366544
SKU
V9783764366544
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Cryptographic Applications of Analytic Number Theory
From the reviews: “Igor Shparlinski is a very prolific mathematician and computer scientist … . The book is written at a very high level, suitable for graduate students and researchers in computer science and mathematics. … book has a unique perspective, and is not really comparable to other books in the area. … book contains many deep results, and ... Read more