Ring learning with errors: Difference between revisions

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Expanded RLWE Cryptography section
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Finished RLWE Cryptography Section
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==== [[Homomorphic encryption|Ring Learning with Errors Homomorphic Encryption]] (RLWE-HOM) ====
The purpose of homomorphic encryption is to allow the computations on sensitive data to occur on computing devices that should not be trusted with the data. These computing devices are allowed to process the ciphertext which is output from a homomorphic encryption. In 2011, Brakersky and Vaikuntanathan, published "Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages" which builds a homomorphic encryption scheme directly on the RLWE problem.<ref>{{Cite book|title = Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages|url = http://link.springer.com/chapter/10.1007/978-3-642-22792-9_29|publisher = Springer Berlin Heidelberg|date = 2011|isbn = 978-3-642-22791-2|pages = 505-524|series = Lecture Notes in Computer Science|language = en|first = Zvika|last = Brakerski|first2 = Vinod|last2 = Vaikuntanathan|editor-first = Phillip|editor-last = Rogaway}}</ref>
 
security key sizes for RLWE cryptography
 
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