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Chapter and Conference Paper
Efficient Key Recovery for All HFE Signature Variants
The HFE cryptosystem is one of the most popular multi- variate schemes. Especially in the area of digital signatures, the HFEv- variant offers short signatures and high performance. Recently, an instance of th...
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Chapter and Conference Paper
Design Principles for HFEv- Based Multivariate Signature Schemes
The Hidden Field Equations (HFE) Cryptosystem as proposed by Patarin is one of the best known and most studied multivariate schemes. While the security of the basic scheme appeared to be very weak, the HFEv- v...
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Chapter and Conference Paper
Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equations
Let X = (x 1,..,x n ) and Y = (y 1,...,y m ) be a pair of corresponding plaintext and cipherte...