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. Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik: Efficiently processing complex-valued data in homomorphic encryption (2020)
  3. Das, Dipayan; Hoffstein, Jeffrey; Pipher, Jill; Whyte, William; Zhang, Zhenfei: Modular lattice signatures, revisited (2020)
  4. De Micheli, Gabrielle; Heninger, Nadia; Shani, Barak: Characterizing overstretched NTRU attacks (2020)
  5. Doröz, Yarkın; Sunar, Berk: Flattening NTRU for evaluation key free homomorphic encryption (2020)
  6. Hoffstein, Jeffrey; Silverman, Joseph H.; Whyte, William; Zhang, Zhenfei: A signature scheme from the finite field isomorphism problem (2020)
  7. Singh, Sonika; Padhye, Sahadeo: Identity based blind signature scheme over NTRU lattices (2020)
  8. 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)
  9. Ferradi, Houda; Naccache, David: Integer reconstruction public-key encryption (2019)
  10. Gu, Chunsheng: Integer version of ring-LWE and its applications (2019)
  11. Seck, Michel; Sow, Djiby: BI-NTRU encryption schemes: two new secure variants of NTRU (2019)
  12. Shao, Changpeng; Li, Yang; Li, Hongbo: Quantum algorithm design: techniques and applications (2019)
  13. Sipasseuth, Arnaud; Plantard, Thomas; Susilo, Willy: Enhancing Goldreich, Goldwasser and Halevi’s scheme with intersecting lattices (2019)
  14. Wunderer, Thomas: A detailed analysis of the hybrid lattice-reduction and meet-in-the-middle attack (2019)
  15. Ahn, Soyoung; Lee, Hyang-Sook; Lim, Seongan; Yie, Ikkwon: A lattice attack on homomorphic NTRU with non-invertible public keys (2018)
  16. Bagheri, Khadijeh; Sadeghi, Mohammad-Reza; Panario, Daniel: A non-commutative cryptosystem based on quaternion algebras (2018)
  17. Cheon, Jung Hee; Han, Kyoohyung; Kim, Andrey; Kim, Miran; Song, Yongsoo: Bootstrapping for approximate homomorphic encryption (2018)
  18. Elser, Veit; Lan, Ti-Yen; Bendory, Tamir: Benchmark problems for phase retrieval (2018)
  19. Wang, Baocang; Lei, Hao; Hu, Yupu: D-NTRU: more efficient and average-case IND-CPA secure NTRU variant (2018)
  20. Al-Saidi, N. M. G.; Yassein, H. R.: A new alternative to NTRU cryptosystem based on highly dimensional algebra with dense lattice structure (2017)

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