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lattice polynomial

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  • Lattice sieving — is a technique for finding smooth values of a bivariate polynomial f(a,b) over a large region. It is almost exclusively used in connection with the number field sieve.The algorithm implicitly involves the ideal structure of the number field of… …   Wikipedia

  • Lattice problem — In computer science, lattice problems are a class of optimization problems on lattices. The conjectured intractability of such problems is central to construction of secure lattice based cryptosystems. For applications in such cryptosystems,… …   Wikipedia

  • Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

  • Lattice reduction — In mathematics, the goal of lattice basis reduction is given an integer lattice basis as input, to find a basis with short, nearly orthogonal vectors. This is realized using different algorithms, whose running time is usually at least exponential …   Wikipedia

  • Ehrhart polynomial — In mathematics, a integral polytope has an associated Ehrhart polynomial which encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart polynomials can be seen as a… …   Wikipedia

  • Lenstra–Lenstra–Lovász lattice basis reduction algorithm — The Lenstra–Lenstra–Lovász lattice basis reduction (LLL) is a polynomial time lattice reduction algorithm invented by Arjen Lenstra, Hendrik Lenstra and László Lovász. Given as input d lattice basis vectors with n dimensional integer coordinates… …   Wikipedia

  • Macdonald polynomial — In mathematics, Macdonald polynomials P λ are a two parameter family of orthogonal polynomials indexed by a positive weight λ of a root system, introduced by Ian G. Macdonald (1987). They generalize several other families of orthogonal… …   Wikipedia

  • Convex lattice polytope — A convex lattice polytope (also called Z polyhedron or Z polytope) is a geometric object playing an important role in discrete geometry and combinatorial commutative algebra. It is a polytope in a Euclidean space Rn which is a convex hull of… …   Wikipedia

  • Tutte polynomial — This article is about the Tutte polynomial of a graph. For the Tutte polynomial of a matroid, see Matroid. The polynomial x4 + x3 + x2y is the Tutte polynomial of the Bull graph. The red line shows the intersection with the plane …   Wikipedia

  • List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… …   Wikipedia

  • Post's lattice — In logic and universal algebra, Post s lattice denotes the lattice of all clones on a two element set {0, 1}, ordered by inclusion. It is named for Emil Post, who published a complete description of the lattice in 1941 [E. L. Post, The two valued …   Wikipedia

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