Editing NTRUEncrypt (section)

==History==

The NTRUEncrypt Public Key Cryptosystem is a relatively new cryptosystem.
The first version of the system, which was simply called NTRU, was developed around 1996 by three mathematicians ([[Jeffrey Hoffstein]], [[Jill Pipher]], and [[Joseph H. Silverman]]). In 1996 these mathematicians together with [[Daniel Lieman]] founded the NTRU Cryptosystems, Inc. and were given a patent<ref>{{Cite web |title=US Patent 6081597 – Public key cryptosystem method and apparatus |url=https://patents.google.com/patent/US6081597 |via=[[Google Patents]]}}</ref> (now expired) on the cryptosystem.

During the last ten years people have been working on improving the cryptosystem. Since the first presentation of the cryptosystem, some changes were made to improve both the performance of the system and its security. Most performance improvements were focused on speeding up the process.{{Explain|date=July 2023|reason=Which process?}} Up till 2005 literature can be found that describes the decryption failures of the NTRUEncrypt.{{Citation needed |reason=Is reasonable, hence this statement shall be retained, but lacks a source. |date=July 2023}} As for security, since the first version of the NTRUEncrypt, new parameters have been introduced{{Citation needed |reason=Which ones? |date=July 2023}} that seem secure{{Clarify |reason=What does "seem" address? |date=July 2023}} for all currently{{Specify |reason=When? |date=July 2023}} known attacks and reasonable increase in computation power.{{Clarify |reason=Within which period of time (years)? |date=July 2023}}

Now the system is fully accepted to IEEE P1363 standards under the specifications for lattice-based public-key cryptography ([[IEEE P1363|IEEE P1363.1]]).
Because of the speed of the NTRUEncrypt Public Key Cryptosystem (see http://bench.cr.yp.to for benchmarking results) and its low memory use (see [[#Table 1: Parameters|below]]){{Dubious|date=June 2010}}, it can be used in applications such as mobile devices and [[Smart-card]]s.
In April 2011, NTRUEncrypt was accepted as a X9.98 Standard, for use in the financial services industry.<ref>{{Cite press release |date=April 11, 2011 |title=Security Innovation's NTRUEncrypt Adopted as X9 Standard for Data Protection |url=http://www.businesswire.com/news/home/20110411005309/en/Security-Innovation%E2%80%99s-NTRUEncrypt-Adopted-X9-Standard-Data}}</ref>