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While first used for [[cryptanalysis]], pairings have since been used to construct many cryptographic systems for which no other efficient implementation is known, such as [[identity based encryption]].
== Cryptanalysis ==
In June 2012 the National Institute of Information and Communications Technology (NICT), Kyushu University, and Fujitsu Laboratories Limited jointly broke a world cryptography record with the successful cryptanalysis of a 278-digit (923-bit)-long pairing-based cryptography.<ref>Press release from NICT, June 18th 2012, http://www.nict.go.jp/en/press/2012/06/18en-1.html</ref>
== References ==
{{Reflist}}
==External links==
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