Exploring the Differential Properties of the H F E Cryptosystem 🔐

Taylor Daniels of the University of Louisville presented a talk titled: Differential properties of the H F E cryptosystem at the 2014 PQCrypto conference in October, 2014.

Abstract: Multivariate Public Key Cryptography (MPKC) has been put forth as a possible post-quantum family of cryptographic schemes. These schemes lack provable security in the reduction theoretic sense, and so their security against yet undiscovered attacks remains uncertain. The effectiveness of differential attacks on various field-based systems has prompted the investigation of differential properties of multivariate schemes to determine the extent to which they are secure from differential adversaries. Due to its role as a basis for both encryption and signature schemes we contribute to this investigation focusing on the H F E cryptosystem. We derive the differential symmetric and invariant structure of the H F E central map and that of H F E- and provide a collection of parameter sets which make these H F E systems provably secure against a differential symmetric or differential invariant attack.

PQCrypto
2014 Book: http://www.springer.com/computer/security+and+cryptology/book/978-3-319-11658-7
Workshop: https://pqcrypto2014.uwaterloo.ca/

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