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MQSAS - A Multivariate Sequential Aggregate Signature Scheme
Authors: Rachid El Bansarkhani, Mohamed Saied Emam Mohamed, Albrecht PetzoldtAbstract:
(Sequential) Aggregate signature schemes enable a group of users u_1, \dots, u_k with messages m_1, \dots, m_k to produce a single signature \Sigma which states the integrity and authenticity of all the messages m_1, \dots, m_k. The length of the signature \Sigma is thereby significantly shorter than a concatenation of individual signatures. Therefore, aggregate signatures can improve the efficiency of numerous applications, e.g. the BGPsec protocol of Internet routing and the development of new efficient aggregate signature schemes is an important task for cryptographic research. On the other hand, multivariate cryptography offers a huge variety of practical signature schemes. However, there is a lack of multivariate signature schemes with special properties such as aggregate signature schemes. In this paper, we propose a technique to extend the HFEv- signature scheme to a sequential aggregate signature scheme. By doing so, we create the first multivariate signature scheme of this kind. Our scheme is very efficient and offers compression rates that outperform current lattice-based constructions for practical parameters.
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