=== [[Ring learning with errors signature|Ring Learning with Errors Signatures]] (RLWE-SIG) ===
A RLWE version of the classic [[Feige–Fiat–Shamir identification scheme|Feige-Fiat-ShamirFeige–Fiat–Shamir Identification protocol]] was created and converted to a digital signature in 2011 by Lyubashevsky.<ref>{{Cite journal|title = Lattice Signatures Without Trapdoors|url = http://eprint.iacr.org/2011/537|date = 2011|first = Vadim|last = Lyubashevsky}}</ref> The details of this signature were extended in 2012 by Gunesyu, Lyubashevsky, and Popplemann in 2012 and published in their paper "Practical Lattice Based Cryptography – A Signature Scheme for Embedded Systems."<ref>{{Cite book|title = Practical Lattice-Based Cryptography: A Signature Scheme for Embedded Systems|url = http://link.springer.com/chapter/10.1007/978-3-642-33027-8_31|publisher = Springer Berlin Heidelberg|date = 2012|isbn = 978-3-642-33026-1|pages = 530–547|series = Lecture Notes in Computer Science|first = Tim|last = Güneysu|first2 = Vadim|last2 = Lyubashevsky|first3 = Thomas|last3 = Pöppelmann|editor-first = Emmanuel|editor-last = Prouff|editor-first2 = Patrick|editor-last2 = Schaumont}}</ref> These papers laid the groundwork for a variety of recent signature algorithms some based directly on the Ring Learning with Errors problem and some which are not tied to the same hard RLWE problems.<ref>{{Cite web|title = BLISS Signature Scheme|url = http://bliss.di.ens.fr/|website = bliss.di.ens.fr|accessdate = 2015-07-04}}</ref>
=== [[Homomorphic encryption|Ring Learning with Errors Homomorphic Encryption]] (RLWE-HOM) ===
