[PDF] Top 20 La clase de matemáticas como laboratorio socioepistemológico
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The Tower Number Field Sieve
... a small integer larger than 1. The state-of-art algorithm is the number field sieve (NFS) together with its many variants. When p has a special form (SNFS), as in many pairings constructions, NFS has ... See full document
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Extended Tower Number Field Sieve: A New Complexity for the Medium Prime Case
... the tower number field sieve (TNFS). This case is important because it is used to choose the key sizes for pairing based cryptosystems. Since 2006 one can cover the complete range of large and ... See full document
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Higher dimensional sieving for the number field sieve algorithms
... (extended Tower Number Field Sieve) algorithm, the security of cryptosystems based on non- prime finite fields, mainly the paring and torus-based one, is being ...to sieve in any dimen- ... See full document
19
p Tower Groups over Quadratic Imaginary Number Fields
... imaginary number fields with finite 3-towers and d = 2, the earliest discovered being the example of Scholz and Taussky mentioned in the ...imaginary number fields with d p Cl(K) = 2 and ... See full document
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Synthesis and field emission studies of tower like GaN nanowires
... the field enhancement factor β is related to emitter geometry, crystal structure, and the spatial distribution of emitting ...our tower-like nanowires provide sufficiently high geometry enhance- ...of ... See full document
6
Experimental Performance Evaluation of 600 W Small Wind Turbine to Overcome Energy Crisis in Pakistan
... of Tower fixing, at the location selected for the installation Also the tower is hinged and welded by the heavy angles, to the previous column steel ... See full document
13
Molecular sieve dehydration: a major development in the field of ethanol dehydration to produce fuel ethanol
... The rigorous study of earlier two processes reveals that neither MPRD nor MSDH is capable of producing the purely anhydrous ethanol from fermented wash. MPRD is capable of recovering ethanol from fermented wash but ... See full document
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FFS Factory: Adapting Coppersmith's "Factorization Factory" to the Function Field Sieve
... We suggest here to extend this idea to the computation of discrete log- arithms in finite fields of small characteristic using the Function Field Sieve (FFS), thus referring to this approach as the “FFS ... See full document
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Design and modelling of solar tower field components
... As a nite element software package Strand7 is chosen. The company already owns a package of this software and all Australian Mechanical Engineering students use this software in their university education. Using this ... See full document
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Nearly Sparse Linear Algebra and application to Discrete Logarithms Computations
... a number of matrix-by-vector multiplications equal to a small multiple of the matrix dimension: for a matrix containing λ entries per row in average, the cost of these matrix-by-vector multiplications is O(λN 2 ... See full document
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Sieve Methods
... prime values assumed by a polynomial.. where h is an integer-valued polynomial. Selberg's sieve can be formulated so as to apply to general sequences of integers. H[r] ... See full document
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Estimation in Interacting Diffusions: Continuous and Discrete Sampling
... the sieve estimator and an approximate maximum likelihood esti- mator of the drift coefficient of an interacting particles of diffusions are ...the sieve estimator, ob- servations are taken on a fixed time ... See full document
21
Response of Adjacent Building for Seismic Pounding Effect on Bare Frame and Masonry Infill Frame
... ----------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – The construction of tall buildings is increasing rapidly in all ... See full document
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The application of NEC2 in predicting the radiated field from transmission tower arcing faults
... transmission tower needs to be decomposed into thin wire elements, and the position, orientation and the radius of each element constitute the input data, along with the description of the source excitation and ... See full document
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Rigorous Proof of Goldbach’s Conjecture
... the number of prime ...the number of prime integer-pairs is increasing. In other words, even number N (=2 n ) goes to infinity, the Gold- bach’s conjecture is still ... See full document
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Numerical Evaluation of the Magnetic Field Exposure Near the Transition Tower of an Overhead-Underground Hv Line
... HV tower on which a transition from an overhead line to an underground cable line takes place ...the tower height and they are connected with a three-phase cable under the ground ...a tower can be ... See full document
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Coarse-grained integer - Smooth? Rough? Both!
... the number of prime factors of a B -smooth and C-rough number n can be derived from the number ...inspiring number field sieve application we have C < B ...the number ... See full document
151
Factorization of a 1061-bit number by the Special Number Field Sieve
... Polynomial selection consists of finding two polynomials that share a common root modulo the number being factored. For this SNFS factorization, selection of appropriate polynomials is trivial. The polynomials f ... See full document
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Polynomial selection for the number field sieve integer factorisation algorithm
... vVe consider a large sample of ra ndomly generated skewed polynomials and compare the yield of the pair being used for the factorisation to that of a pair from the randon1 san1ple with a[r] ... See full document
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A construction of 3-dimensional lattice sieve for number field sieve over F_{p^n}
... characteristic p has been improved substantially [8, 1]. Thus we are interested in the pairing constructed over finite field of large characteristic in this paper. For example, the optimal ate pairing [21] that ... See full document
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