Web6 de fev. de 2009 · In Section 2.5, as a byproduct of this construction, we show that the lattice isomorphism problem is at least as difficult as the graph isomorphism problem. Some related complexity results concerning vertex enumeration of polyhedra given by linear inequalities are in [KBBEG08, Dy83]. 2.1. From graphs to lattices. WebWe study the Lattice Isomorphism Problem (LIP), in which given two lattices L_1 and L_2 the goal is to decide whether there exists an orthogonal linear transformation mapping …
Hawk: Module LIP makes Lattice Signatures Fast, Compact and …
WebIACR Cryptol. ePrint Arch. We present TRIFORS (TRIlinear FOrms Ring Signature), a logarithmic post-quantum (linkable) ring signature based on a novel assumption regarding equivalence of alternating trilinear forms. The basis of … Webcentral in lattice-based cryptography), LIP is unlikely to be NP-hard. We note, though, that the reduction from the Graph Isomorphism Problem (GIP) [14] gives some evidence … howling peaks minecraft
On the Lattice Isomorphism Problem, Quadratic Forms, …
Web11 de mai. de 2016 · LDP generalizes the Lattice Isomorphism Problem (the lattice analogue of Graph Isomorphism), which simply asks whether the minimal distortion is one. As our first contribution, we show that the distortion between any two lattices is approximated up to a factor by a simple function of their successive minima. WebAbstract We study the Lattice Isomorphism Problem (LIP), in which given two lattices ℒ1 and ℒ2 the goal is to decide whether there exists an orthogonal linear transformation mapping L1 to ℒ2. Our main result is an algorithm for this problem running in time nO(n) times a polynomial in the input size, where n is the rank of the input lattices. A crucial … Web5 de set. de 2024 · We propose the signature scheme Hawk, a concrete instantiation of proposals to use the Lattice Isomorphism Problem (LIP) as a foundation for … howling peak wild west roblox