Number-Theoretic Methods in Cryptology 2019

List of contributed talks

Curves 1 - Monday, 10h45-11h45

1. Claire Delaplace and Alexander May. Can we Beat the Square Root Bound for ECDLP over F(p^2) via Representations? Slides
2. Kazuhiro Yokoyama, Masaya Yasuda, Yasushi Takahashi and Jun Kogure. Complexity Bound on Semaev’s Naive Index Calculus Method for ECDLP Slides

Hash functions - Monday, 16h-17h

3. Hayley Tomkins, Monica Nevins and Hadi Salmasian. New Zémor-Tillich Type Hash Functions Over GL2(F_(p^n)) Slides
4. Wouter Castryck, Thomas Decru and Benjamin Smith. Hash functions from superspecial genus-2 curves using Richelot isogenies Slides

Constructions - Tuesday, 10h30-12h

5. Eric Brier, Houda Ferradi, Marc Joye and David Naccache. New Number-Theoretic Cryptographic Primitives Slides
6. Carl Bootland, Wouter Castryck, Alan Szepieniec and Frederik Vercauteren. A Framework for Cryptographic Problems from Linear Algebra Slides
7. Christina Boura, Nicolas Gama, Mariya Georgieva and Dimitar Jetchev. CHIMERA: Combining Ring-LWE-based Fully Homomorphic Encryption Schemes Slides

Curves 2 - Wednesday, 10h30-12h

8. Leonardo Colò and David Kohel. Orienting supersingular isogeny graphs Slides
9. Taechan Kim and Mehdi Tibouchi. Equidistribution Among Cosets of Elliptic Curve Points in Intervals Slides
10. Ronal Pranil Chand and Maheswara Rao Valluri. Elliptic Curves in Generalized Huff's Model Slides

Integers - Wednesday, 14h30-15h30

11. Jacek Pomykała and Maciej Radziejewski. Integer factoring and compositeness witnesses Slides
12. Maciej Grzeskowiak. A variant of the large sieve inequality with explicit constants Slides

Applications - Wednesday, 16h-17h

13. Marc Joye. Protecting ECC Against Fault Attacks: The Ring Extension Method Revisited Slides
14. Giovanni Di Crescenzo, Matluba Khodjaeva, Delaram Kahrobaei and Vladimir Shpilrain. Delegating a Product of Group Exponentiations with Application to Signature Schemes Slides

Cryptanalysis - Thursday, 10h30-12h

15. Jean-Sebastien Coron and Agnese Gini. Improved Cryptanalysis of the AJPS Mersenne Based Cryptosystem Slides
16. Jung Hee Cheon, Wonhee Cho, Minki Hhan, Minsik Kang, Jiseung Kim and Changmin Lee. Algorithms for CRT-variant of Approximate Greatest Common Divisor Problem Slides
17. Andrea Lesavourey, Thomas Plantard and Willy Susilo. On ideal lattices in multicubic fields Slides