• FourTiTwo

  • Referenced in 8 articles [sw07615]
  • permutation invariant chains of Laurent lattice ideals This paper is an investigation of chains ... lattice ideals in polynomial rings that are invariant under a symmetric group action. The polynomial ... ascending chain of ideals I 1 ⊆I 2 ⊆⋯ eventually stabilizes. However, the chains in question ... show that invariant chains of Laurent lattice ideals stabilize up to monomial localization. Moreover...
  • Normaliz

  • Referenced in 145 articles [sw00630]
  • computations in affine monoids, vector configurations, lattice polytopes, and rational cones. Its input data ... equations, inequalities and congruences or a binomial ideal. Normaliz computes the dual cone ... necessarily pointed) rational cone, the lattice points of a rational polytope or unbounded polyhedron...
  • symmChainGens

  • Referenced in 8 articles [sw06689]
  • study chains of lattice ideals that are invariant under a symmetric group action...
  • CaTS

  • Referenced in 6 articles [sw08112]
  • reduced Groebner bases of a lattice ideal, and (2) all monomial A-graded ideals that...
  • NFLlib

  • Referenced in 3 articles [sw14675]
  • years have witnessed an increased interest in lattice cryptography. Besides its strong security guarantees ... open-source C++ library dedicated to ideal lattice cryptography in the widely-spread polynomial ring ... favorably to other libraries used in ideal lattice cryptography implementations (namely the generic number theory...
  • GRIN

  • Referenced in 26 articles [sw08940]
  • reduced lattice bases). We present two new algorithms for computing generatorsof toric ideals...
  • FV-NFLlib

  • Referenced in 2 articles [sw23229]
  • NFLlib C++ library dedicated to ideal lattice cryptography...
  • POSETS

  • Referenced in 1 article [sw32240]
  • product and sum, subposet, distributive lattice of order ideals, etc. Once a poset has been...
  • KUBO

  • Referenced in 2 articles [sw17872]
  • dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform ... shape of the cluster is rectangular with ideal leads attached to opposite corners. Both geometrical...
  • CAdynamics

  • Referenced in 1 article [sw23190]
  • implemented in an analog machine ideally circumventing part of the overall waste heat production ... where we find global maps for small lattices indicating an interesting underlying recursive structure...
  • ANSYS

  • Referenced in 647 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • cdd

  • Referenced in 109 articles [sw00114]
  • The program cdd+ (cdd, respectively) is a C...
  • Chaste

  • Referenced in 42 articles [sw00122]
  • Chaste: incorporating a novel multi-scale spatial and...
  • CoCoA

  • Referenced in 605 articles [sw00143]
  • CoCoA is a system for Computations in Commutative...
  • Epsilon

  • Referenced in 39 articles [sw00244]
  • Epsilon is a library of functions implemented in...
  • FGb

  • Referenced in 234 articles [sw00286]
  • FGb/Gb libraryGb is a program (191 420 lines...
  • FLINT

  • Referenced in 40 articles [sw00297]
  • Fast library for number theory: an introduction. We...
  • GAP

  • Referenced in 2707 articles [sw00320]
  • GAP is a system for computational discrete algebra...
  • gmp

  • Referenced in 256 articles [sw00363]
  • GMP is a free library for arbitrary precision...
  • Gmsh

  • Referenced in 531 articles [sw00366]
  • Gmsh is a 3D finite element grid generator...