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

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This book constitutes the thoroughly refereed post-workshop proceedings of the 6th International Workshop on the Arithmetic of Finite Field, WAIFI 2016, held in Ghent, Belgium, in July 2016.

The 14 revised full papers and 3 invited talks presented were carefully reviewed and selected from 38 submissions. The papers are organized in topical sections on invited talks; elliptic curves; applications; irreducible polynomials; applications to cryptography; Boolean functions; cryptography; cryptography and Boolean functions.

Invited Tall I
A Brief History of Pairings
3(18)
Razvan Barbulescu
Elliptic Curves
Differential Addition on Binary Elliptic Curves
21(15)
Reza Rezaeian Farashahi
Seyed Gholamhossein Hosseini
Adequate Elliptic Curves for Computing the Product of n Pairings
36(18)
Loubna Ghammam
Emmanuel Fouotsa
On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curve
54(13)
Laszlo Merai
Applications
Linear Complexity and Expansion Complexity of Some Number Theoretic Sequences
67(10)
Richard Hofer
Arne Winterhof
Irreducible Polynomials
On Sets of Irreducible Polynomials Closed by Composition
77(7)
Andrea Ferraguti
Giacomo Micheli
Reto Schnyder
A Note on the Brawley-Carlitz Theorem on Irreducibility of Composed Products of Polynomials over Finite Fields
84(11)
Akihiro Munemasa
Hiroko Nakamura
Invited Talk II
On Arcs and Quadrics
95(10)
Simeon Ball
Applications to Cryptography
A Generalised Successive Resultants Algorithm
105(20)
James H. Davenport
Christophe Petit
Benjamin Pring
Distribution and Polynomial Interpolation of the Dodis-Yampolskiy Pseudo-Random Function
125(18)
Thierry Mefenza
Damien Vergnaud
Boolean Functions
A Conjecture About Gauss Sums and Bentness of Binomial Boolean Functions
143(17)
Jean-Pierre Flori
Generalized Bent Functions and Their Gray Images
160(17)
Thor Martinsen
Wilfried Meidl
Pantelimon Stanica
Cryptography
Enhanced Digital Signature Using RNS Digit Exponent Representation
177(16)
Thomas Plantard
Jean-Marc Robert
Efficient Finite Field Multiplication for Isogeny Based Post Quantum Cryptography
193(15)
Angshuman Karmakar
Sujoy Sinha Roy
Frederik Vercauteren
Ingrid Verbauwhede
A Search Strategy to Optimize the Affine Variant Properties of S-Boxes
208(19)
Stjepan Picek
Bohan Yang
Nele Mentens
Cryptography and Boolean Functions
A Super-Set of Patterson-Wiedemann Functions -- Upper Bounds and Possible Nonlinearities
227(16)
Selcuk Kavut
Subhamoy Maitra
Ferruh Ozbudak
A Correction and Improvements of Some Recent Results on Walsh Transforms of Gold Type and Kasami-Welch Type Functions
243(15)
Ayhan Cosgun
Ferruh Ozbudak
A Practical Group Signature Scheme Based on Rank Metric
258(19)
Quentin Alamelou
Olivier Blazy
Stephane Cauchie
Philippe Gaborit
Author Index 277