Abstract
Group signature schemes allow users to sign messages on behalf of a group while (1) maintaining anonymity (within that group) with respect to an outside observer, yet (2) ensuring traceability of a signer (by the group manager) when needed. In this work we give the first construction of a group signature scheme based on lattices (more precisely, the learning with errors assumption), in the random oracle model. Towards our goal, we construct a new algorithm for sampling a basis for an orthogonal lattice, together with a trapdoor, that may be of independent interest.
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Gordon, S.D., Katz, J., Vaikuntanathan, V. (2010). A Group Signature Scheme from Lattice Assumptions. In: Abe, M. (eds) Advances in Cryptology - ASIACRYPT 2010. ASIACRYPT 2010. Lecture Notes in Computer Science, vol 6477. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17373-8_23
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