Lattice sieving is a technique for finding smooth values of a bivariate polynomial f ( a , b ) {\displaystyle f(a,b)} over a large region. It is almost...

the same time. The current best-known approach for this search is lattice sieving; to get acceptable yields, it is necessary to use a large factor base...

Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, sieve multiplication, shabakh, diagonally...

sampling reduction, while the latter includes lattice sieving, computing the Voronoi cell of the lattice, and discrete Gaussian sampling. An open problem...

random polynomial selection); 124722179 relations were collected in the sieving stage; the matrix had 6699191 rows and 6711336 columns and weight 417132631...

2012-02-05. "RSA Lattice Siever — News Archive". 2012. Archived from the original on 2012-09-21. Retrieved 2012-02-05. "RSA Lattice Siever". 2012. Archived...

"New directions in nearest neighbor searching with applications to lattice sieving." Proceedings of the twenty-seventh annual ACM-SIAM symposium on Discrete...

New directions in nearest neighbor searching with applications to lattice sieving. Twenty-seventh Annual ACM-SIAM Symposium on Discrete Algorithms (SODA...

distributed computing project, RSA Lattice Siever (RSALS for short), that quickly factored the other keys. RSA Lattice Siever remained active for nearly three...

operations to the sieving range of about 0.2587171021...; From an actual implementation of the algorithm, the ratio is about 0.25 for sieving ranges as low...

The Lenstra–Lenstra–Lovász (LLL) lattice basis reduction algorithm is a polynomial time lattice reduction algorithm invented by Arjen Lenstra, Hendrik...

of any family of sieves on c is a sieve on c, so Sieve(c) is a complete lattice. A Grothendieck topology is a collection of sieves subject to certain...

"Sieving for Shortest Vectors in Ideal Lattices". Cryptology ePrint Archive. "cr.yp.to: 2014.02.13: A subfield-logarithm attack against ideal lattices"...

device. Filtration differs from sieving, where separation occurs at a single perforated layer (a sieve). In sieving, particles that are too big to pass...

XRD gives no information on the particle size. Other techniques, such as sieving, image analysis, or visible light scattering do directly measure particle...

into the front stone facing. The rampart is constructed from a timber lattice filled with earth or rubble. The transverse cross-beams may also protrude...

Intersection theory Invariant theory Iwasawa theory K-theory Knot theory L-theory Lattice theory Lie theory M-theory Measure theory Model theory Morse theory Module...

Korkine–Zolotarev (KZ) lattice basis reduction algorithm or Hermite–Korkine–Zolotarev (HKZ) algorithm is a lattice reduction algorithm. For lattices in R n {\displaystyle...

with rational coefficients in the seminal paper that introduced the LLL lattice reduction algorithm with Hendrik Willem Lenstra and László Lovász. Lenstra...

structure, the Boolean algebra U forms a lattice ordered by inclusion; additionally it is a multiplicative lattice due to matrix multiplication. Every logical...

ever need. Lattice, or sieve, multiplication is algorithmically equivalent to long multiplication. It requires the preparation of a lattice (a grid drawn...

theorem Brun sieve Function field sieve General number field sieve Large sieve Larger sieve Quadratic sieve Selberg sieve Sieve of Atkin Sieve of Eratosthenes...

infinite lattice graphs, pc cannot be calculated exactly, though in some cases pc there is an exact value. For example: for the square lattice ℤ2 in two...

architecture and one of the few examples of a building covered in wood-lattice facade from this period. In the 16th century the Rua de São Marcos, which...

They are routinely identified by comparing reflection intensities and lattice spacings from X-ray powder diffraction data with entries in powder-diffraction...

proteins in cells are tightly bound in a network called the microtrabecular lattice is now seen as unlikely. In prokaryotes the cytosol contains the cell's...

pastry both above and below the filling; the upper crust may be solid or latticed (woven of crosswise strips). The bottom crust may be baked separately ("blind")...

no bronsted acid centers because there is no aluminium contained in the lattice. The acidity of alumina-doped MCM-41 therefore is comparable to that of...

+\operatorname {N} (n,n)=C_{n}} The Narayana numbers also count the number of lattice paths from ( 0 , 0 ) {\displaystyle (0,0)} to ( 2 n , 0 ) {\displaystyle...

{\displaystyle n} -element set, the number of elements in a free distributive lattice with n {\displaystyle n} generators, and one more than the number of abstract...