Applied algebra, algebraic algorithms, and error-correcting codes : 13th international symposium, AAECC-13, Honolulu, Hawaii, USA, November 15-19, 1999 : proceedings / / Marc Fossorier [and three others], (editors)

• Record Nr.: UNINA9910143647503321
• Pubbl/distr/stampa: Berlin : , : Springer, , [1999]; ©1999
• ISBN: 3-540-46796-3
• Edizione: [1st ed. 1999.]
• Descrizione fisica: 1 online resource (XIV, 518 p.)
• Collana: Lecture notes in computer science ; ; 1719
• Disciplina: 005.72
• Soggetti: Error-correcting codes (Information theory); Algebra - Data processing; Algorithms
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Invited Papers -- Codes on Graphs: A Survey for Algebraists -- RA Codes Achieve AWGN Channel Capacity -- Monomial Ideals and Planar Graphs -- A Fast Program Generator of Fast Fourier Transforms -- On Integer Programming Problems Related to Soft-Decision Iterative Decoding Algorithms -- Curves with Many Points and Their Applications -- Codes and Iterative Decoding -- New Sequences of Linear Time Erasure Codes Approaching the Channel Capacity -- On the Theory of Low-Density Convolutional Codes -- Combinatorics I: Arithmetic -- On the Distribution of Nonlinear Recursive Congruential Pseudorandom Numbers of Higher Orders -- A New Representation of Boolean Functions -- Combinatorics II: Graphs and Matrices -- An Algorithm to Compute a Nearest Point in the Lattice A n * -- Sequences from Cocycles -- Block Codes I -- On the Second Greedy Weight for Binary Linear Codes -- On the Size of Identifying Codes -- Algebra I: Rings and Fields -- Fast Quantum Fourier Transforms for a Class of Non-abelian Groups -- Linear Codes and Rings of Matrices -- On ?4-Simplex Codes and Their Gray Images -- Decoding Methods -- Some Results on Generalized Concatenation of Block Codes -- Near ; Optimal Decoding for TCM Using the BIVA and Trellis Shaping -- An Optimality Testing Algorithm for a Decoded Codeword of Binary Block Codes and Its Computational Complexity -- Algebra II -- Recursive MDS-Codes and Pseudogeometries -- Strength of ISTY1 without FL Function for Higher Order Differential Attack -- Code Construction -- Quantum Reed—Solomon Codes -- Capacity Bounds for the 3-Dimensional (0, 1) Runlength Limited Channel -- Rectangular Codes and Rectangular Algebra -- Codes and Algebra I: Algebraic Curves -- Decoding Hermitian Codes with Sudan’s Algorithm -- Computing a Basis of on an affine algebraic curve with one rational place at infinit -- Cryptography -- Critical Noise for Convergence of Iterative Probabilistic Decoding with Belief Propagation in Cryptographic Applications -- An Authentication Scheme over Non-authentic Public Channel in Information-Theoretic Secret-Key Agreement -- Codes and Decoding -- A Systolic Array Architecture for Fast Decoding of One-Point AG Codes and Scheduling of Parallel Processing on It -- Convolutional Codes -- Computing Weight Distributions of Convolutional Codes Via Shift Register Synthesis -- Properties of Finite Response Input Sequences of Recursive Convolutional Codes -- Combinatorics III: Designs -- Lower Bounds for Group Covering Designs -- Characteristic Functions of Relative Difference Sets, Correlated Sequences and Hadamard Matrices -- Decoding of Block Codes -- Double Circulant Self-Dual Codes Using Finite-Field Wavelet Transforms -- Algebra III: Rings and Fields -- Linear Codes and Polylinear Recurrences over Finite Rings and Modules (A Survey) -- Calculating Generators for Invariant Fields of Linear Algebraic Groups -- Constructing Elements of Large Order in Finite Fields -- Modulation and Codes -- New Lower Bounds on the Periodic Crosscorrelation of QAM Codes with Arbitrary Energy -- Conjectures on the Size of Constellations Constructed from Direct Sums of PSK Kernels -- Codes and Algebra II: Gröbner Bases and AG Codes -- A New Criterion for Normal Form Algorithms -- Discrete Fourier Transform and Gröbner Bases -- Block Codes II -- On the State Complexities of Ternary Codes -- Binary Optimal Linear Rate 1/2 Codes -- On Binary/Ternary Error-Correcting Codes with Minimum Distance 4 -- Algebra IV: Polynomials -- The Euclidean Algorithm and Primitive Polynomials over Finite Fields -- On the Computational Hardness of Testing Square-Freeness of Sparse Polynomials -- Mastrovito Multiplier for General Irreducible Polynomials.
• Sommario/riassunto: This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999. The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Gröbner bases and AG codes, and polynomials.

Introduction to applied optimization / / Urmila M. Diwekar

• Record Nr.: UNINA9910483265703321
• Autore: Diwekar Urmila M.
• Pubbl/distr/stampa: Cham, Switzerland : , : Springer, , [2020]; ©2020
• ISBN: 3-030-55404-X
• Edizione: [Third edition.]
• Descrizione fisica: 1 online resource (XXIX, 358 p. 112 illus., 20 illus. in color.)
• Collana: Springer Optimization and Its Applications, , 1931-6828 ; ; 22
• Disciplina: 519.3
• Soggetti: Mathematical optimization
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: 1. Introduction -- 2. Linear Programming -- 3. Nonlinear Programming.-4. Discrete Optimization -- 5. Optimization Under Uncertainty -- 6. Multiobjective Optimization -- 7.Optimal Control and Dynamic Optimization -- Index.
• Sommario/riassunto: Intended for advanced undergraduate/graduate students as well as scientists and engineers, this textbook presents a multi-disciplinary view of optimization, providing a thorough examination of algorithms, methods, techniques, and tools from diverse areas of optimization. Linear programming, nonlinear programming, discrete optimization, global optimization, optimization under uncertainty, multi-objective optimization, optimal control, and stochastic optimal control are introduced in each self-contained chapter, with exercises, examples, and case studies, the true gems of this text. This third edition includes additional content in each chapter designed to clarify or enhance the exposition, and update methodologies and solutions. A new real-world case study related to sustainability is added in Chapters 2—7. GAMS, AIMMS, and MATLAB® files of case studies for Chapters 2, 3, 4, 5, and 7 are freely accessible electronically as extra source materials. A solutions manual is available to instructors who adopt the textbook for their course. From the reviews: This work is definitely a welcome addition to the existing optimization literature, given its emphasis on modeling and solution practice, as well as its ‘user-friendly’ style of exposition. — János D. Pintér, European Journal of Operations ; Research, Vol. 177, 2007 Urmila Diwekar’s book on applied optimization is one of the few books on the subject that combines impressive breadth of coverage with delightful readability. In her exposition of concepts and algorithms in the major areas of optimization, she always goes to the heart of the matter and illustrates her explanations with simple diagrams and numerical examples. Graduate and undergraduate students, who constitute part of the target audience, should find this a very useful book. — Jamshed A. Modi, Interfaces, Vol. 36 (1), 2006 Optimization is a rich field with a strong history; this book nicely introduces both, moving from very introductory material to challenging techniques toward the end … Examples range from quite simplistic through realistic difficult scheduling problems. Some examples resurface in different chapter with twists to demonstrate how different techniques are required for differing data and constraints. — CHOICE, September 2004.