9783764366544 - Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness: 22 di Shparlinski, Igor E. (13 risultati)

Condizione: New.

Condizione: New. In.

Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02089 9783764366544 Sprache: Englisch Gewicht in Gramm: 1050.

Condizione: New.

Condizione: New. pp. 428.

Condizione: New. 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. . 2002. 2. Hardback. . . . .

Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 this approach is that the results do not depend on any assumptions or conjectures. On the downside, the results are much weaker than those which are widely believed to be true. We obtain several lower bounds, exponential in terms of logp, on the degrees and orders of o polynomials; o algebraic functions; o Boolean functions; o linear recurrence sequences; coinciding with values of the discrete logarithm modulo a prime p at sufficiently many points (the number of points can be as small as pI/2+O:). These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1. The case of d = 2 is of special interest since it corresponds to the representation of the rightmost bit of the discrete logarithm and defines whether the argument is a quadratic residue.

Condizione: New. 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. . 2002. 2. Hardback. . . . . Books ship from the US and Ireland.

Hardcover. Condizione: Like New. Like New. book.

Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 this approach is that the results do not depend on any assumptions or conjectures. On the downside, the results are much weaker than those which are widely believed to be true. We obtain several lower bounds, exponential in terms of logp, on the degrees and orders of o polynomials; o algebraic functions; o Boolean functions; o linear recurrence sequences; coinciding with values of the discrete logarithm modulo a prime p at sufficiently many points (the number of points can be as small as pI/2+O:). These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1. The case of d = 2 is of special interest since it corresponds to the representation of the rightmost bit of the discrete logarithm and defines whether the argument is a quadratic residue. 414 pp. Englisch.

Condizione: New. Print on Demand pp. 428 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.

Condizione: New. PRINT ON DEMAND pp. 428.

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 this approach is that the results do not depend on any assumptions or conjectures. On the downside, the results are much weaker than those which are widely believed to be true. We obtain several lower bounds, exponential in terms of logp, on the degrees and orders of o polynomials; o algebraic functions; o Boolean functions; o linear recurrence sequences; coinciding with values of the discrete logarithm modulo a prime p at sufficiently many points (the number of points can be as small as pI/2+O:). These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1. The case of d = 2 is of special interest since it corresponds to the representation of the rightmost bit of the discrete logarithm and defines whether the argument is a quadratic residue.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 428 pp. Englisch.