A group signature scheme from lattice assumptions

TitleA group signature scheme from lattice assumptions
Publication TypeJournal Articles
Year of Publication2010
AuthorsGordon S, Katz J, Vaikuntanathan V
JournalAdvances in Cryptology-ASIACRYPT 2010
Pagination395 - 412
Date Published2010///

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.