Lattice-Based Public-Key Cryptography in Hardware, Sujoy Sinha Roy; Ingrid Verbauwhede

Автор: R.S. Freese; O.C. Garcia
Название: Universal Algebra and Lattice Theory
ISBN: 3540123296 ISBN-13(EAN): 9783540123293
Издательство: Springer
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Автор: Gr?tzer
Название: Lattice Theory: Special Topics and Applications
ISBN: 331944235X ISBN-13(EAN): 9783319442358
Издательство: Springer
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Описание: George Gr?tzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gr?tzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Автор: Georgios Ch. Sirakoulis; Andrew Adamatzky
Название: Robots and Lattice Automata
ISBN: 3319109235 ISBN-13(EAN): 9783319109237
Издательство: Springer
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Описание:

Algorithmic Insights into Finite-State Robots.- Lattice Automata for Control of Self-Reconfigurable Robots.- Modular Reconfigurable Robotic Systems: Lattice Automata.- Lattice-based Modular Self-reconfigurable Systems.- Speed control on a hexapodal robot driven by a CNN-CPG structure.- Routing by Cellular Automata Agents in the Triangular Lattice.- Multi-Resolution Hierarchical Motion Planner for Multi-Robot Systems on Spatiotemporal Cellular Automata.- Autonomous Robot Path Planning techniques using Cellular Automata.- Cellular Robotic Ants Synergy Coordination for Path Planning.- Employing Cellular Automata for Shaping Accurate MorphologyMaps Using Scattered Data From Robotics' Missions.- On the use of Cellular Automata in Vision-based Robot Exploration.- Modelling Synchronisation in Multirobot Systems with CellularAutomata: Analysis of Update Methods and Topology Perturbations.- Cellular Automaton Manipulator Array.

Автор: A.M. Glass; W.C. Holland
Название: Lattice-Ordered Groups
ISBN: 0792301161 ISBN-13(EAN): 9780792301165
Издательство: Springer
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Автор: Jin-Gyun Chung; Keshab K. Parhi
Название: Pipelined Lattice and Wave Digital Recursive Filters
ISBN: 1461285607 ISBN-13(EAN): 9781461285601
Издательство: Springer
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Цена: 20733.00 р.
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Описание: The book then presents approaches to the design of pipelined lattice digital filters for the same four types of structures, followed by pipelining of orthogonal double-rotation digital filters, which eliminate limit cycle problems.

Автор: Micciancio Daniele, Goldwasser Shafi
Название: Complexity of Lattice Problems / A Cryptographic Perspective
ISBN: 0792376889 ISBN-13(EAN): 9780792376880
Издательство: Springer
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Цена: 21948.00 р.
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Описание: Complexity of Lattice Problems: A Cryptographic Perspective is an essential reference for those researching ways in which lattice problems can be used to build cryptographic systems. It will also be of interest to those working in computational complexity, combinatorics, and foundations of cryptography.The book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the shortest vector problem; the relations between this and other computational lattice problems; an exposition of how cryptographic functions can be built and prove secure based on worst-case hardness assumptions about lattice problems; and a study of the limits of non-approximability of lattice problems. Some background in complexity theory, but no prior knowledge about lattices, is assumed.The aim of the authors is to make lattice-based cryptography accessible to a wide audience, ultimately yielding further research and applications. Complexity of Lattice Problems: A Cryptographic Perspective will be valuable to anyone working in this fast-moving field. It serves as an excellent reference, providing insight into some of the most challenging issues being examined today.

Автор: Stuart A. Steinberg
Название: Lattice-ordered Rings and Modules
ISBN: 1489982973 ISBN-13(EAN): 9781489982971
Издательство: Springer
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Описание: This book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Key topics include: lattice-ordered groups, rings, and fields; Archimedean $l$-groups; f-rings and larger varieties of $l$-rings; the category of f-modules; various commutativity results. This text may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.

Автор: Ekkehard Kr?tzel
Название: Lattice Points
ISBN: 9027727333 ISBN-13(EAN): 9789027727336
Издательство: Springer
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Автор: Zamir
Название: Lattice Coding for Signals and Networks
ISBN: 0521766982 ISBN-13(EAN): 9780521766982
Издательство: Cambridge Academ
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Цена: 25502.00 р.
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Описание: Unifying information theory and digital communication through the language of lattice codes, this book provides a detailed overview for students, researchers and industry practitioners. It covers both classical work and the more recent results, including many advanced setups and techniques showing the advantages of lattice codes over traditional random-coding solutions.

Автор: Grigore Calugareanu
Название: Lattice Concepts of Module Theory
ISBN: 0792364880 ISBN-13(EAN): 9780792364887
Издательство: Springer
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Описание: This volume is dedicated to the use of lattice theory in module theory. Its main purpose is to present all module-theoretic results that can be proved by lattice theory only, and to develop the theory necessary to do so.

Автор: Freeden, Willi
Название: Metaharmonic Lattice Point Theory
ISBN: 1138382108 ISBN-13(EAN): 9781138382107
Издательство: Taylor&Francis
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Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of weighted lattice point numbers, in particular the non-uniform distribution of lattice points.

The author explains how to obtain multi-dimensional generalizations of the Euler summation formula by interpreting classical Bernoulli polynomials as Green's functions and linking them to Zeta and Theta functions. To generate multi-dimensional Euler summation formulas on arbitrary lattices, the Helmholtz wave equation must be converted into an associated integral equation using Green's functions as bridging tools. After doing this, the weighted sums of functional values for a prescribed system of lattice points can be compared with the corresponding integral over the function.

Exploring special function systems of Laplace and Helmholtz equations, this book focuses on the analytic theory of numbers in Euclidean spaces based on methods and procedures of mathematical physics. It shows how these fundamental techniques are used in geomathematical research areas, including gravitation, magnetics, and geothermal.