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Bellini, Emanuele, Caullery, Florian, Gaborit, Philippe, Manzano, Marc, Mateu, Victor.  2019.  Improved Veron Identification and Signature Schemes in the Rank Metric. 2019 IEEE International Symposium on Information Theory (ISIT). :1872—1876.

It is notably challenging to design an efficient and secure signature scheme based on error-correcting codes. An approach to build such signature schemes is to derive it from an identification protocol through the Fiat-Shamir transform. All such protocols based on codes must be run several rounds, since each run of the protocol allows a cheating probability of either 2/3 or 1/2. The resulting signature size is proportional to the number of rounds, thus making the 1/2 cheating probability version more attractive. We present a signature scheme based on double circulant codes in the rank metric, derived from an identification protocol with cheating probability of 2/3. We reduced this probability to almost 1/2 to obtain the smallest signature among code-based signature schemes based on the Fiat-Shamir paradigm, around 22 KBytes for 128 bit security level. Furthermore, among all code-based signature schemes, our proposal has the lowest value of signature plus public key size, and the smallest secret and public key sizes. We provide a security proof in the Random Oracle Model, implementation performances, and a comparison with the parameters of similar signature schemes.

Bellini, Emanuele, Caullery, Florian, Hasikos, Alexandros, Manzano, Marc, Mateu, Victor.  2018.  You Shall Not Pass! (Once Again): An IoT Application of Post-Quantum Stateful Signature Schemes. Proceedings of the 5th ACM on ASIA Public-Key Cryptography Workshop. :19–24.

This paper presents an authentication protocol specifically tailored for IoT devices that inherently limits the number of times that an entity can authenticate itself with a given key pair. The protocol we propose is based on a stateful hash-based digital signature system called eXtended Merkle Signature Scheme (XMSS), which has increased its popularity of late due to its resistance to quantum-computer-aided attacks. We propose a 1-pass authentication protocol that can be customized according to the server capabilities to keep track of the key pair state. In addition, we present results when ported to ARM Cortex-M3 and M0 processors.