منابع مشابه
The Neumann Sieve Problem and Dimensional Reduction: a Multiscale Approach
We perform a multiscale analysis for the elastic energy of a n-dimensional bilayer thin film of thickness 2δ whose layers are connected through an ε-periodically distributed contact zone. Describing the contact zone as a union of (n − 1)-dimensional balls of radius r ≪ ε (the holes of the sieve) and assuming that δ ≪ ε, we show that the asymptotic memory of the sieve (as ε → 0) is witnessed by ...
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The security of pairing-based cryptography is based on the hardness of solving the discrete logarithm problem (DLP) over extension field GF(p) of characteristic p and degree n. Joux et al. proposed an asymptotically fastest algorithm for solving DLP over GF(p) (JLSV06-NFS) as the extension of the number field sieve over prime field GF(p) (JL03-NFS). The lattice sieve is often used for a largesc...
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A sieve is a technique for bounding the size of a set after the elements with “undesirable properties” (usually of a number theoretic nature) have been removed. The undesirable properties could be divisibility by a prime from a given set, other multiplicative constraints (divisibility by a perfect square for example) or inclusion in a set of residue classes. The methods usually involve some kin...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1976
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-29-1-69-95