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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...

    Chengdong Tao, Albrecht Petzoldt, **tai Ding in Advances in Cryptology – CRYPTO 2021 (2021)

  2. 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...

    Albrecht Petzoldt, Ming-Shing Chen, Bo-Yin Yang in Advances in Cryptology -- ASIACRYPT 2015 (2015)

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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...

    **tai Ding, Ai Ren, Chengdong Tao in Information Security and Cryptology (2013)