2014 | OriginalPaper | Buchkapitel
An Asymptotically Optimal Structural Attack on the ABC Multivariate Encryption Scheme
verfasst von : Dustin Moody, Ray Perlner, Daniel Smith-Tone
Erschienen in: Post-Quantum Cryptography
Verlag: Springer International Publishing
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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.