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15 vector | DOC
The document contains 12 problems related to vectors. The problems involve representing vectors in component form, adding and subtracting vectors, finding vectors given other vectors and scalar multip...
A Mixed Integer Quadratic Formulation for the Shortest Vector Pro...
Lattice-based cryptography is based on the hardness of the lattice problems, e.g., the shortest vector problem and the closed vector problem. In fact, these mathematical optimization problems are know...
Vector problems | PDF
A student is confused by vector problems involving addition, subtraction, and balancing of forces. They have seen three different vector problems but do not understand which ones involve addition or s...
Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign | ...
We provide a brief history and overview of lattice based cryptography and cryptanalysis: shortest vector problems, closest vector problems, subset sum problem and knapsack systems, GGH, Ajtai-Dwork an...
Efficiency and Henig Efficiency for Vector Equilibrium Problems |...
We introduce the concept of Henig efficiency for vector equilibrium problems, and extend scalarization results from vector optimization problems to vector
The Search Successive Minima Problem Is Equivalent to Its Optimiz...
The shortest vector problem (SVP) and the shortest independent vectors problem (SIVP) are two famous problems in lattices, which are usually used to evaluate the hardness of some computational problem...
The Search Successive Minima Problem Is Equivalent to Its Optimiz...
The shortest vector problem (SVP) and the shortest independent vectors problem (SIVP) are two famous problems in lattices, which are usually used to evaluate the hardness of some computational problem...
Sieving for Closest Lattice Vectors (with Preprocessing) | Spring...
Lattice-based cryptography has recently emerged as a prime candidate for efficient and secure post-quantum cryptography. The two main hard problems underlying its security are the shortest vector prob...
Deterministic Hardness of Approximation For SVP in all Finite ℓ_𝑝...
Content selection saved. Describe the issue below: We show that, assuming NP⊈\not\subseteq∩δ>0\cap_{\delta>0}DTIME(exp(nδ))\left(\exp{n^{\delta}}\right), the shortest vector problem for lattices of r...
Ch03 ssm | PDF
This document contains conceptual problems and their solutions related to motion in two and three dimensions. It discusses concepts such as displacement vs distance traveled, examples of motion with d...
Reducibility of bilevel programming problems to vector optimizati...
Reductions are studied of the bilevel programming problems to vector (multicriteria) optimization problems. A general framework is proposed for constructin
Solving Scalar Problems of Vector Optimization | Springer Nature ...
In general substitute scalar problems are used in vector optimization problems for the determination of efficient points. These problems contain parameters (weights or wanted levels for the objective ...
Solving Scalar Problems of Vector Optimization | Springer Nature ...
In general substitute scalar problems are used in vector optimization problems for the determination of efficient points. These problems contain parameters (weights or wanted levels for the objective ...
SVPp is Deterministically NP-Hard for all 𝑝>2, Even to Approximat...
Content selection saved. Describe the issue below: We prove that SVPpis NP-hard to approximate within a factor of2log1−εn2^{\log^{1-\varepsilon}n}, for all constantsε>0\varepsilon>0andp>2p>2, under s...
Well Posedness in Vector Optimization Problems and Vector Variati...
In this paper, we give notions of well posedness for a vector optimization problem and a vector variational inequality of the differential type. First, the
Parallel DeepBKZ 2.0: Development of Parallel DeepBKZ Reduction w...
Lattice basis reduction is a powerful tool for solving lattice problems, such as the shortest vector problemShortest vector problem (SVP) that asks to find a non-zero shortest vector given a lattice b...
Parallel DeepBKZ 2.0: Development of Parallel DeepBKZ Reduction w...
Lattice basis reduction is a powerful tool for solving lattice problems, such as the shortest vector problemShortest vector problem (SVP) that asks to find a non-zero shortest vector given a lattice b...
Noninteractive Statistical Zero-Knowledge Proofs for Lattice Prob...
We construct noninteractive statistical zero-knowledge (NISZK) proof systems for a variety of standard approximation problems on lattices, such as the shortest independent vectors problem and the comp...
Quantum Complexity for Vector Domination Problem | Springer Natur...
In this paper we investigate quantum query complexity of two vector problems: vector domination and minimum inner product. We believe that these problems are interesting because they are closely relat...
Quantum Complexity for Vector Domination Problem | Springer Natur...
In this paper we investigate quantum query complexity of two vector problems: vector domination and minimum inner product. We believe that these problems are interesting because they are closely relat...