Current
The seminar is held on Tuesdays from 11 to 12 and is organised by Razvan Barbulescu and Wessel van Woerden. Unless otherwise stated it takes place in room 2 of IMB. To get announcements, you can subscribe to the mailing list of the Bordeaux number theory seminars. Last minute changes may appear first on the IMB website.
- 2024-07-0211:00Salle 2Bruno Sterner (INRIA GRACE)Finding large smooth twinsWe discuss the computational problem of finding pairs of consecutive smooth integers, also known as smooth twins. Such twins have had some relevance in isogeny-based cryptography and reducing the smoothness bound of these twins aids the performance of these cryptosystems. However searching for such twins with a small smoothness bound is the most challenging aspect of this problem especially since the set of smooth twins with a fixed smoothness bound is finite. This talk presents new large smooth twins which have a smaller smoothness bound compared to twins found with prior approaches.