An Asymptotically Optimal Structure Attack on ABC Multivariate Encryption by Daniel Smith-Tone

Daniel Smith-Tone of the University of Louisville and the National Institute of Standards and Technology presented a talk titled: An Asymptotically Optimal Structure Attack on the ABC Multivariate Encryption Scheme at the 2014 PQCrypto conference in October, 2014.

Abstract: Historically, multivariate public key cryptography has been less than successful at offering encryption schemes which are both secure and efficient. At PQCRYPTO '13 in Limoges, Tao, Diene, Tang, and Ding introduced a promising new multivariate encryption algorithm based on a fundamentally new idea: hiding the structure of a large matrix algebra over a finite field. We present an attack based on subspace differential invariants inherent to this methodology. The attack is a structural key recovery attack which is asymptotically optimal among all known attacks (including algebraic attacks) on the original scheme and its generalizations.

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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