@article {15073, title = {A group signature scheme from lattice assumptions}, journal = {Advances in Cryptology-ASIACRYPT 2010}, year = {2010}, month = {2010///}, pages = {395 - 412}, 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.}, doi = {10.1007/978-3-642-17373-8_23}, author = {Gordon,S. and Katz, Jonathan and Vaikuntanathan,V.} }