On higher-order cryptography – Raphaëlle Crubillé
Raphaëlle Crubillé
LORIA, PESTO team, Nancy
http://research.crubille.lautre.net/
Date(s) : 21/01/2021 iCal
10h30 - 11h30
Type-two constructions abound in cryptography: adversaries for encryption and authentication schemes, if active, are modeled as algorithms having access to oracles, i.e. as second-order algorithms.
But how about making cryptographic schemes themselves higher-order? This work gives an answer to this question, by first describing why higher-order cryptography is interesting as an object of study, then showing how the concept of probabilistic polynomial time algorithm can be generalized so as to encompass algorithms of order strictly higher than two, and finally proving some positive and negative results about the existence of higher-order cryptographic primitives, namely authentication schemes and pseudorandom functions.
(Joint work with Boaz Barak and Ugo Dal Lago)
Visio-conférence ici :
https://greenlight.lal.cloud.math.cnrs.fr/b/lio-hdc-jef
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