Arithmetic of Finite Fields

First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings

By: Berk Sunar (Editor), Claude Carlet (Editor)

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Paperback | 11 June 2007

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374 Pages

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This book constitutes the refereed proceedings of the First International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, held in Madrid, Spain in June 2007. It covers structures in finite fields, efficient implementation and architectures, efficient finite field arithmetic, classification and construction of mappings over finite fields, curve algebra, cryptography, codes, and discrete structures.

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Non-Fiction Mathematics Algebra Mathematical Foundation Set Theory Geometry Algebraic Geometry Computing & I.T.Computer Science Computer Security Data Encryption Applied Mathematics

Reference, Information & Interdisciplinary Subjects Research & Information Coding Theory & Cryptology

Explicit factorizations of cyclotomic and Dickson polynomials over finite fields	p. 1
Some notes on d-form functions with difference-balanced property	p. 11
A note on modular forms on finite upper half planes	p. 18
A coprocessor for the final exponentiation of the [eta][subscript [Tau]] pairing in characteristic three	p. 25
VLSI implementation of a functional unit to accelerate ECC and AES on 32-bit processors	p. 40
Efficient multiplication using type 2 optimal normal bases	p. 55
Effects of optimizations for software implementations of small binary field arithmetic	p. 69
Software implementation of arithmetic in F[subscript 3[superscript m]]	p. 85
Complexity reduction of constant matrix computations over the binary field	p. 103
Towards optimal Toom-Cook multiplication for univariate and multivariate polynomials in characteristic 2 and 0	p. 116
A construction of differentially 4-uniform functions from commutative semifields of characteristic 2	p. 134
Complete mapping polynomials over finite field F[subscript 16]	p. 147
On the classification of 4 bit S-boxes	p. 159
The simplest method for constructing APN polynomials EA-inequivalent to power functions	p. 177
New point addition formulae for ECC applications	p. 189
Explicit formulas for real hyperelliptic curves of genus 2 in affine representation	p. 202
The quadratic extension extractor for (hyper)elliptic curves in odd characteristic	p. 219
On Kabatianskii-Krouk-Smeets signatures	p. 237
Self-certified signatures based on discrete logarithms	p. 252
Attacking the filter generator over GF(2[superscript m])	p. 264
Cyclic additive and quantum stabilizer codes	p. 276
Determining the number of one-weight cyclic codes when length and dimension are given	p. 284
Error correcting codes from Quasi-Hadamard matrices	p. 294
Fast computations of Grobner bases and blind recognitions of convolutional codes	p. 303
A twin for Euler's [phi] function in F[subscript 2][X]	p. 318
Discrete phase-space structures and mutually unbiased bases	p. 333
Some novel results of p-adic component of primitive sequences over Z/(p[superscript d])	p. 346
Table of Contents provided by Blackwell. All Rights Reserved.

Arithmetic of Finite Fields

First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings

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