Cryptographic Applications of Analytic Number Theory, Complexity Lower Bounds and Pseudorandomness
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1
Igor Shparlinski, Igor E. Shparlinski

Cryptographic Applications of Analytic Number Theory, Complexity Lower Bounds and Pseudorandomness (2003)

Lieferung erfolgt aus/von: Niederlande EN HC NW

ISBN: 9780817666545 bzw. 0817666540, in Englisch, Birkhäuser, gebundenes Buch, neu.

Fr. 106.94 ( 109.00)¹
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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 ... 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.Taal: Engels;Oorspronkelijke titel: Cryptographic Applications of Analytic Number Theory;Afmetingen: 0x0x0 mm;Gewicht: 0,00 gram;Verschijningsdatum: januari 2003;ISBN10: 0817666540;ISBN13: 9780817666545; Engelstalig | Hardcover | 2003.
2
Igor Shparlinski

Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness

Lieferung erfolgt aus/von: Vereinigte Staaten von Amerika DE PB NW

ISBN: 9783034894159 bzw. 3034894155, in Deutsch, Birkhauser, Taschenbuch, neu.

Fr. 190.19 ( 193.85)¹ + Versand: Fr. 3.89 ( 3.97)¹ = Fr. 194.08 ( 197.82)¹
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9783034894159 - Shparlinski, Igor: Cryptographic Applications of Analytic Number Theory
Shparlinski, Igor

Cryptographic Applications of Analytic Number Theory

Lieferung erfolgt aus/von: Deutschland DE PB NW

ISBN: 9783034894159 bzw. 3034894155, in Deutsch, Birkhäuser, Taschenbuch, neu.

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IGOR SHPARLINSKI

Cryptographic Applications of Analytic Number Theory. Complexity Lower Bounds and Pseudorandomness (2013)

Lieferung erfolgt aus/von: Deutschland DE PB US

ISBN: 9783034894159 bzw. 3034894155, in Deutsch, Taschenbuch, gebraucht.

Fr. 131.58 ( 134.11)¹ + Versand: Fr. 7.09 ( 7.23)¹ = Fr. 138.67 ( 141.34)¹
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Von Händler/Antiquariat, Herb Tandree Philosophy Books [17426], Stroud, UK, United Kingdom.
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Shparlinski, Igor

Cryptographic Applications of Analytic Number Theory: Complexity Lower Bounds and Pseudorandomness (2014)

Lieferung erfolgt aus/von: Deutschland DE PB NW

ISBN: 9783034894159 bzw. 3034894155, in Deutsch, Taschenbuch, neu.

Fr. 114.03 ( 116.23)¹ + Versand: Fr. 10.64 ( 10.85)¹ = Fr. 124.68 ( 127.08)¹
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New Book. This item is printed on demand. Shipped from UK. This item is printed on demand.
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9783034880374 - Igor Shparlinski: Cryptographic Applications of Analytic Number Theory
Igor Shparlinski

Cryptographic Applications of Analytic Number Theory

Lieferung erfolgt aus/von: Vereinigte Staaten von Amerika DE NW EB

ISBN: 9783034880374 bzw. 3034880375, in Deutsch, Springer Nature, neu, E-Book.

Fr. 101.32 ($ 129.00)¹
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Igor Shparlinski

Cryptographic Applications of Analytic Number Theory. Complexity Lower Bounds and Pseudorandomness (2013)

Lieferung erfolgt aus/von: Deutschland DE NW

ISBN: 9783034894159 bzw. 3034894155, in Deutsch, neu.

Fr. 124.75 ( 127.15)¹
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Lieferung aus: Deutschland, Versandkostenfrei.
Von Händler/Antiquariat, Deastore [50723639], Roma, ROMA, Italy.
Language: english. Print On Demand.
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9783034880374 - Jens Hagen: Cryptographic Applications of Analytic Number Theory : Complexity Lower Bounds and Pseudorandomness
Jens Hagen

Cryptographic Applications of Analytic Number Theory : Complexity Lower Bounds and Pseudorandomness

Lieferung erfolgt aus/von: Vereinigtes Königreich Grossbritannien und Nordirland DE NW EB DL

ISBN: 9783034880374 bzw. 3034880375, in Deutsch, Wiley, neu, E-Book, elektronischer Download.

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