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Normaliz
- Referenced in 168 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...
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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...
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symmChainGens
- Referenced in 8 articles [sw06689]
- study chains of lattice ideals that are invariant under a symmetric group action...
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NFLlib
- Referenced in 4 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...
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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...