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Titlebook: Cryptographic Applications of Analytic Number Theory; Complexity Lower Bou Igor Shparlinski Book 2003 Springer Basel AG 2003 Cryptography.D

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Book 2003stablishes 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
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Bit Security of the Diffie—Hellman Secret Keyms, namely Lemmas 3.15 and 3.16, allows us to complete the proof and also extend the result to more general settings. Accordingly, the bound of Lemma 3.24 has been used in [523] to obtain somewhat stronger results, see also Theorem 14.3 below.
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2297-0576 es; 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 funct978-3-0348-9415-9978-3-0348-8037-4Series ISSN 2297-0576 Series E-ISSN 2297-0584
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Book 2003ential 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 funct
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Collection and Preliminary Observations, impossible to record all their macroscopic and microscopic features, to sketch or paint, and to prepare satisfactory dried or preserved specimens for the herbarium at the same time. Obviously to do all this, specimens should be examined repeatedly and one must plan to study the living fungi over several seasons.
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