On the lattice isomorphism problem eprint
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 … WebThe lattice isomorphism problem (LIP) asks one to find an isometry between two lattices. It has recently been proposed as a foundation for cryptography in two independant works …
On the lattice isomorphism problem eprint
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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 … 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 L_1 to L_2. Our main result is an algorithm for this problem running in time n^ {O (n)} times a polynomial in the input size, where n is the rank of the input lattices.
WebKey words and phrases. lattice, Voronoi cell, Delone cell, covering radius, quantizer constant, lattice isomorphism problem, zonotope. The second and the third author were supported by the Deutsche Forschungsgemeinschaft (DFG) under grant SCHU 1503/4-2. The third author was also supported by the Netherlands Organiza- 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 …
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 … Webfactors, which is central in lattice-based cryptography), LIPis unlikely to be NP-hard. We note, though, that the reduction from the Graph Isomorphism Problem (GIP) [15] gives …
WebWe show that the problem of deciding whether a given Euclidean lattice L has an or-thonormal basis is in NP and co-NP. Since this is equivalent to saying that L is …
WebAbstract. The lattice isomorphism problem (LIP) asks one to nd an isometry between two lattices. It has recently been proposed as a founda-tion for cryptography in two … grace minus oneWeb5 de out. de 2024 · In this work, we provide generic realizations of this natural idea (independently of the chosen remarkable lattice) by basing cryptography on the lattice … chilling seasoningWebAbstract. We 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 … chilling serving bowlWeba q-ary lattice problem, which was previously unknown. As a result, we can solve the search problem for some previously intractable parameters using a simple lattice … grace minot ndWebAbstract 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. chilling serverWebInternship proposal 2024-2024 The (algebraic) lattice isomorphism problem A lattice is a subset of Rn consisting of all integer linear combinations of a set of linearly inde- … grace mirabella cause of deathWebWe 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 L 1 to L 2. Our main result is an algorithm for this problem running in time n O (n) times a polynomial in the input size, where n is the rank of the input lattices. chilling shorts