Arithmetic of Finite Fields  First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings /  [electronic resource] : 
edited by Claude Carlet, Berk Sunar. 
 - 1st ed. 2007. 
 - XI, 360 p.  online resource. 
 - Theoretical Computer Science and General Issues,  4547  2512-2029 ; .
 - Theoretical Computer Science and General Issues,  4547 .
<br/><br/>Structures in Finite Fields -- Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields -- Some Notes on d-Form Functions with Difference-Balanced Property -- A Note on Modular Forms on Finite Upper Half Planes -- Efficient Implementation and Architectures -- A Coprocessor for the Final Exponentiation of the ? T Pairing in Characteristic Three -- VLSI Implementation of a Functional Unit to Accelerate ECC and AES on 32-Bit Processors -- Efficient Multiplication Using Type 2 Optimal Normal Bases -- Efficient Finite Field Arithmetic -- Effects of Optimizations for Software Implementations of Small Binary Field Arithmetic -- Software Implementation of Arithmetic in  -- Complexity Reduction of Constant Matrix Computations over the Binary Field -- Towards Optimal Toom-Cook Multiplication for Univariate and Multivariate Polynomials in Characteristic 2 and 0 -- Classification and Construction of Mappings over Finite Fields -- A Construction of Differentially 4-Uniform Functions from Commutative Semifields of Characteristic 2 -- Complete Mapping Polynomials over Finite Field F 16 -- On the Classification of 4 Bit S-Boxes -- The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions -- Curve Algebra -- New Point Addition Formulae for ECC Applications -- Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation -- The Quadratic Extension Extractor for (Hyper)Elliptic Curves in Odd Characteristic -- Cryptography -- On Kabatianskii-Krouk-Smeets Signatures -- Self-certified Signatures Based on Discrete Logarithms -- Attacking the Filter Generator over GF(2 m ) -- Codes -- Cyclic Additive and Quantum Stabilizer Codes -- Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given -- Error CorrectingCodes from Quasi-Hadamard Matrices -- Fast Computations of Gröbner Bases and Blind Recognitions of Convolutional Codes -- Discrete Structures -- A Twin for Euler's ? Function in  -- Discrete Phase-Space Structures and Mutually Unbiased Bases -- Some Novel Results of p-Adic Component of Primitive Sequences over Z/(p d ). 
<br/><br/><label>ISBN: </label>9783540730743 
<br/><br/><label>Standard No.: </label>10.1007/978-3-540-73074-3  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Coding theory.<br/>Information theory.<br/>Cryptography.<br/>Data encryption (Computer science).<br/>Computer science--Mathematics.<br/>Discrete mathematics.<br/>Algorithms.<br/>Coding and Information Theory.<br/>Cryptology.<br/>Discrete Mathematics in Computer Science.<br/>Algorithms.<br/>Symbolic and Algebraic Manipulation.
<br/><br/><label>LC Class. No.: </label>QA268 Q350-390 
<br/><br/><label>Dewey Class. No.: </label>003.54