Generalised Jacobians in Cryptography and Coding Theory / Florian Hess -- The Weight Distribution of a Family of Reducible Cyclic Codes / Gerardo Vega and Carlos A. Vázquez -- A New Method for Constructing Small-Bias Spaces from Hermitian Codes / Olav Geil, Stefano Martin and Ryutaroh Matsumoto -- An Improved Threshold Ring Signature Scheme Based on Error Correcting Codes / Pierre-Louis Cayrel, Sidi Mohamed El Yousfi Alaoui, Gerhrad Hoffmann and Pascal Véron -- Sequences and Functions Derived from Projective Planes and Their Difference Sets / Alexander Pott, Qi Wang and Yue Zhou -- On Formally Self-dual Boolean Functions in 2,4 and 6 Variables / Lin Sok and Patrick Solé -- On the Algebraic Normal Form and Walsh Spectrum of Symmetric Functions over Finite Rings / Boris Batteux -- Verification of Restricted EA-Equivalence for Vectorial Boolean Functions / Lilya Budaghyan and Oleksandr Kazymyrov -- Software Implementation of Modular Exponentiation, Using Advanced Vector Instructions Architectures / Shay Gueron and Vlad Krasnov -- Efficient Multiplication over Extension Fields / Nadia El Mrabet and Nicolas Gama -- GF(2m)GF(2m) Finite-Field Multipliers with Reduced Activity Variations / Danuta Pamula and Arnaud Tisserand -- Finding Optimal Formulae for Bilinear Maps / Razvan Barbulescu, Jérémie Detrey, Nicolas Estibals and Paul Zimmermann -- Solving Binary Linear Equation Systems over the Rationals and Binaries / Benedikt Driessen and Christof Paar -- Hashing with Elliptic Curve L-Functions / Sami Omar, Raouf Ouni and Saber Bouanani -- Square Root Algorithms for the Number Field Sieve / Emmanuel Thomé -- Improving the Berlekamp Algorithm for Binomials xn -- a / Ryuichi Harasawa, Yutaka Sueyoshi and Aichi Kudo -- On Some Permutation Binomials of the Form x\frac2n-1k+1 +axxk2n-1+1+ax over \mathbbF2nF2n : Existence and Count / Sumanta Sarkar, Srimanta Bhattacharya and Ayça Çeşmelioğlu.

Includes bibliographical references and author index.

Online resource; title from PDF title page (SpringerLink, viewed Aug. 10, 2012).

This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.