Arithmetic of Finite Fields: 6th International Workshop, WAIFI 2016, Ghent, Belgium, July 13-15, 2016, Revised Selected Papers

Front Matter....Pages I-XII
Front Matter....Pages 1-1
A Brief History of Pairings....Pages 3-17
Front Matter....Pages 19-19
Differential Addition on Binary Elliptic Curves....Pages 21-35
Adequate Elliptic Curves for Computing the Product of n Pairings....Pages 36-53
On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curve....Pages 54-63
Front Matter....Pages 65-65
Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences....Pages 67-74
Front Matter....Pages 75-75
On Sets of Irreducible Polynomials Closed by Composition....Pages 77-83
A Note on the Brawley-Carlitz Theorem on Irreducibility of Composed Products of Polynomials over Finite Fields....Pages 84-92
Front Matter....Pages 93-93
On Arcs and Quadrics....Pages 95-102
Front Matter....Pages 103-103
A Generalised Successive Resultants Algorithm....Pages 105-124
Distribution and Polynomial Interpolation of the Dodis-Yampolskiy Pseudo-Random Function....Pages 125-140
Front Matter....Pages 141-141
A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions....Pages 143-159
Generalized Bent Functions and Their Gray Images....Pages 160-173
Front Matter....Pages 175-175
Enhanced Digital Signature Using RNS Digit Exponent Representation....Pages 177-192
Efficient Finite Field Multiplication for Isogeny Based Post Quantum Cryptography....Pages 193-207
A Search Strategy to Optimize the Affine Variant Properties of S-Boxes....Pages 208-223
Front Matter....Pages 225-225
A Super-Set of Patterson-Wiedemann Functions – Upper Bounds and Possible Nonlinearities....Pages 227-242
A Correction and Improvements of Some Recent Results on Walsh Transforms of Gold Type and Kasami-Welch Type Functions....Pages 243-257
A Practical Group Signature Scheme Based on Rank Metric....Pages 258-275
Back Matter....Pages 277-277