Add to ORKGAbstract. The Shortest lattice Vector Problem is central in lattice-based cryptography, as well as in many areas of computational mathematics and computer science, such as computational number theory and combinatorial optimisation. We present an algorithm for solving it in time 22.465n+o(n) and space 21.233n+o(n), where n is the lattice dimension. This improves the best previously known algo-rithm, by Micciancio and Voulgaris [SODA 2010], which runs in time 23.199n+o(n) and space 21.325n+o(n)
We give deterministic Õ(22n)-time and Õ(2n)-space algorithms to solve all the most important com-p...
By applying Grover’s quantum search algorithm to the lattice algorithms of Micciancio and Voulgaris,...
Abstract. Finding the shortest vector of a lattice is one of the most im-portant problems in computa...
The shortest vector problem (SVP) in lattices is related to problems in combinatorial optimization, ...
The security of lattice-based cryptosystems such as NTRU, GGH and Ajtai-Dwork essentially relies upo...
Abstract. Building upon a famous result due to Ajtai, we propose a sequence of lattice bases with gr...
We present a novel practical algorithm that given a lattice basis b1, ..., bn finds in O(n exp 2 *(k...
Abstract. We present the state of the art solvers of the Shortest and Closest Lattice Vector Problem...
The most famous lattice problem is the Shortest Vector Problem (SVP), which has many applications in...
\u3cp\u3eThe two traditional hard problems underlying the security of lattice-based cryptography are...
We present a practical algorithm that given an LLL-reduced lattice basis of dimension n, runs in tim...
By applying a quantum search algorithm to various heuristic and provable sieve algorithms from the l...
Lattice-based cryptography has recently emerged as a prime candidate for efficient and secure post-q...
We give deterministic Õ(22n)-time and Õ(2n)-space algorithms to solve all the most important com-p...
By applying Grover’s quantum search algorithm to the lattice algorithms of Micciancio and Voulgaris,...
Abstract. Finding the shortest vector of a lattice is one of the most im-portant problems in computa...
The shortest vector problem (SVP) in lattices is related to problems in combinatorial optimization, ...
The security of lattice-based cryptosystems such as NTRU, GGH and Ajtai-Dwork essentially relies upo...
Abstract. Building upon a famous result due to Ajtai, we propose a sequence of lattice bases with gr...
We present a novel practical algorithm that given a lattice basis b1, ..., bn finds in O(n exp 2 *(k...
Abstract. We present the state of the art solvers of the Shortest and Closest Lattice Vector Problem...
The most famous lattice problem is the Shortest Vector Problem (SVP), which has many applications in...
\u3cp\u3eThe two traditional hard problems underlying the security of lattice-based cryptography are...
We present a practical algorithm that given an LLL-reduced lattice basis of dimension n, runs in tim...
By applying a quantum search algorithm to various heuristic and provable sieve algorithms from the l...
Lattice-based cryptography has recently emerged as a prime candidate for efficient and secure post-q...
We give deterministic Õ(22n)-time and Õ(2n)-space algorithms to solve all the most important com-p...
By applying Grover’s quantum search algorithm to the lattice algorithms of Micciancio and Voulgaris,...
Abstract. Finding the shortest vector of a lattice is one of the most im-portant problems in computa...