Journal of Algebraic Combinatorics - Introducing the Journal of Algebraic Combinatorics Webinar Series

The Journal of Algebraic Combinatorics is proud to announce the first installment of its eponymous webinar series (this opens in a new tab). Subscribe on the cassyni page to be notified of all future events.

Topic: Boolean functions and their use in symmetric cryptography

Speaker: Prof. Claude Carlet, Professor Emeritus of mathematics, University of Bergen

Boolean functions play a central role in the security of stream and block ciphers (in symmetric cryptography). They are functions mapping binary vectors of some length to either bits (in which case we have Boolean functions strictly speaking) or to binary vectors (of the same length or of another length, we are then speaking of vectorial Boolean functions). In the first case, they play roles in stream ciphers and in the second case, they are mainly used as substitution boxes in block ciphers. Being in each case the only nonlinear components of the ciphers, they are essential to their security. They are also the main components of the ciphers whose choice induces the speed. A tradeoff must then be found between the security and the speed of the cipher. The AES winner (used nowadays as a NIST standard for civil encryption, in particular between all banks) has been chosen because it allowed the best tradeoff. We shall describe what are the main results on them and what are the main open problems they pose currently.

Date: Wednesday, June 7, 2023 11:00 AM (America/New York)

Link: https://cassyni.com/events/VEXC9KkfoopJeE21ZJ1KAV/ (this opens in a new tab)