dual lattice of ℤ-latticedual basis of ℤ-lattice15A0315A0903B35In this article, we formalize in Mizar [5] the definition of dual lattice and their properties. We formally prove that a set of all dual vectors in a rational lattice has the construction of a lattice. We show that a ...
In lattice cryptography, worst-case to average-case reductions rely on two problems: Ajtai's SIS and Regev's LWE, which both refer to a very small class of random lattices related to the group G=Znq. We generalize worst-case to average-c... N Gama,M Izabachène,PQ Nguyen,... - ...
Module-Lattice -based Key Encapsulation Mechanism Standard by NIST i.e. FIPS 203. Motivation ML-KEM has been standardized by NIST as post-quantum secure key encapsulation mechanism (KEM), which can be used for key establishment, between two parties, communicating over insecure channel. ...
Ring-SIS,andLWEwithRing-LWE,respectively.Weprovethat these average-case problems are at least as hard as standard lattice problems restricted tomodulelattices(whichthemselvesbridgearbitraryandideallattices).Asthesenewproblemsenlarge the toolbox of the lattice-based cryptographer, they could prove useful ...
In this paper we determine, under some mild restrictions, the lattice ofsubmodules $\\gL$ of a module $M$ all of whose composition factors havemultiplicity one. Such a lattice is distributive, and hence determined by itsposet of down-sets $P$. We define a directed Ext graph $\\Ext_\...
By default the lattice has a spatial scaleL=1, so it fits into a square of spatial dimensionsL×L. So by default size of a node patch is (dx×dy) withdx=dy=(L/(2N+1)). The (x,y)-coordinates of the lattice range from -L/2 to L/2 in both dimensions: ...
随机场理论是一种估算最大统计量尾部相关数据的方法。随机场(random field)是指定义在D维空间中每一点处的随机变量的集合。研究大脑时我们常常使用3维空间和高斯随机场(Gaussian random field)。接下来就可以开始分析统计图像了,我们需要将统计图像看成连续随机场(continuous random field)的栅格化表征(lattice ...
当当中华商务进口图书旗舰店在线销售正版《海外直订Lattice Concepts of Module Theory 模论的格概念》。最新《海外直订Lattice Concepts of Module Theory 模论的格概念》简介、书评、试读、价格、图片等相关信息,尽在DangDang.com,网购《海外直订Lattice Concepts of Mo
MOSRA-SRAC is a lattice calculation module of the Modular code System for nuclear Reactor Analyses (MOSRA). This module performs the neutron transport calculation for various types of fuel elements including existing light water reactors... K Okumura - 《Jibi Inkōka Otolaryngology》 被引量: 2发...