—In lattice-coded multiple-input multiple-output (MIMO) systems, optimal decoding amounts to solving the closest vector problem (CVP). Embedding is a powerful technique for the a...
Cong Ling, Shuiyin Liu, Laura Luzzi, Damien Stehl&...
: In Crypto 1997, Goldreich, Goldwasser and Halevi (GGH) proposed a lattice analogue of McEliece public key cryptosystem, in which security is related to the hardness of approximat...
Thomas Plantard, Willy Susilo, Khin Than Win, Qion...
We propose two trapdoors for the Closest-Vector-Problem in lattices (CVP) related to the lattice tensor product. Using these trapdoors we set up a lattice-based cryptosystem which ...
Abstract We give a method for approximating any n-dimensional lattice with a lattice Λ whose factor group Zn /Λ has n − 1 cycles of equal length with arbitrary precision. We al...
A new type of signature scheme, called NTRUSign, based on solving the approximately closest vector problem in a NTRU lattice was proposed at CT-RSA’03. However no security proof ...
d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...
Mikhail Alekhnovich, Subhash Khot, Guy Kindler, Ni...
We present reductions from lattice problems in the 2 norm to the corresponding problems in other norms such as 1, (and in fact in any other p norm where 1 p ). We consider latt...