NTRU: A ring-based public key cryptosystem. We describe NTRU, a new public key cryptosystem. NTRU features reasonably short, easily created keys, high speed, and low memory requirements. NTRU encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory. The security of the NTRU cryptosystem comes from the interaction of the polynomial mixing system with the independence of reduction modulo two relatively prime integers p and q.

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  1. Aragon, Nicolas; Blazy, Olivier; Deneuville, Jean-Christophe; Gaborit, Philippe; Lau, Terry Shue Chien; Tan, Chik How; Xagawa, Keita: Cryptanalysis of a rank-based signature with short public keys (2020)
  2. Das, Dipayan; Hoffstein, Jeffrey; Pipher, Jill; Whyte, William; Zhang, Zhenfei: Modular lattice signatures, revisited (2020)
  3. Singh, Sonika; Padhye, Sahadeo: Identity based blind signature scheme over NTRU lattices (2020)
  4. Farahmand, Farnoud; Dang, Viet B.; Nguyen, Duc Tri; Gaj, Kris: Evaluating the potential for hardware acceleration of four NTRU-based key encapsulation mechanisms using software/hardware codesign (2019)
  5. Gu, Chunsheng: Integer version of ring-LWE and its applications (2019)
  6. Shao, Changpeng; Li, Yang; Li, Hongbo: Quantum algorithm design: techniques and applications (2019)
  7. Sipasseuth, Arnaud; Plantard, Thomas; Susilo, Willy: Enhancing Goldreich, Goldwasser and Halevi’s scheme with intersecting lattices (2019)
  8. Wunderer, Thomas: A detailed analysis of the hybrid lattice-reduction and meet-in-the-middle attack (2019)
  9. Bagheri, Khadijeh; Sadeghi, Mohammad-Reza; Panario, Daniel: A non-commutative cryptosystem based on quaternion algebras (2018)
  10. Cheon, Jung Hee; Han, Kyoohyung; Kim, Andrey; Kim, Miran; Song, Yongsoo: Bootstrapping for approximate homomorphic encryption (2018)
  11. Elser, Veit; Lan, Ti-Yen; Bendory, Tamir: Benchmark problems for phase retrieval (2018)
  12. Al-Saidi, N. M. G.; Yassein, H. R.: A new alternative to NTRU cryptosystem based on highly dimensional algebra with dense lattice structure (2017)
  13. Bauch, Jens; Bernstein, Daniel J.; de Valence, Henry; Lange, Tanja; van Vredendaal, Christine: Short generators without quantum computers: the case of multiquadratics (2017)
  14. Biasse, Jean-François; Espitau, Thomas; Fouque, Pierre-Alain; Gélin, Alexandre; Kirchner, Paul: Computing generator in cyclotomic integer rings. A subfield algorithm for the principal ideal problem in (L_|\varDelta_\mathbbK|\left(\frac12\right)) and application to the cryptanalysis of a FHE scheme (2017)
  15. Cramer, Ronald; Ducas, Léo; Wesolowski, Benjamin: Short Stickelberger class relations and application to Ideal-SVP (2017)
  16. Hoffstein, Jeff; Pipher, Jill; Schanck, John M.; Silverman, Joseph H.; Whyte, William; Zhang, Zhenfei: Choosing parameters for NTRUEncrypt (2017)
  17. Hung, Ying-Hao; Tseng, Yuh-Min; Huang, Sen-Shan: Lattice-based revocable certificateless signature (2017)
  18. Kim, Jeongsu; Park, Suyong; Kim, Seonggeun; Jang, Busik; Hahn, Sang Geun; Jung, Sangim; Roh, Dongyoung: Analysis of error terms of signatures based on learning with errors (2017)
  19. Kirchner, Paul; Fouque, Pierre-Alain: Revisiting lattice attacks on overstretched NTRU parameters (2017)
  20. López-Alt, Adriana; Tromer, Eran; Vaikuntanathan, Vinod: Multikey fully homomorphic encryption and applications (2017)

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