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.

References in zbMATH (referenced in 166 articles , 1 standard article )

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  1. Halevi, Shai; Shoup, Victor: Bootstrapping for helib (2021)
  2. Shafieinejad, Masoumeh; Esfahani, Navid Nasr: A scalable post-quantum hash-based group signature (2021)
  3. 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)
  4. Bootland, Carl; Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik: Efficiently processing complex-valued data in homomorphic encryption (2020)
  5. Bootland, Carl; Castryck, Wouter; Szepieniec, Alan; Vercauteren, Frederik: A framework for cryptographic problems from linear algebra (2020)
  6. Boura, Christina; Gama, Nicolas; Georgieva, Mariya; Jetchev, Dimitar: CHIMERA: combining ring-LWE-based fully homomorphic encryption schemes (2020)
  7. Cho, Gook Hwa; Lim, Seongan; Lee, Hyang-Sook: Algorithms for the generalized NTRU equations and their storage analysis (2020)
  8. Das, Dipayan; Hoffstein, Jeffrey; Pipher, Jill; Whyte, William; Zhang, Zhenfei: Modular lattice signatures, revisited (2020)
  9. De Micheli, Gabrielle; Heninger, Nadia; Shani, Barak: Characterizing overstretched NTRU attacks (2020)
  10. Deneuville, Jean-Christophe; Gaborit, Philippe: Cryptanalysis of a code-based one-time signature (2020)
  11. Doröz, Yarkın; Sunar, Berk: Flattening NTRU for evaluation key free homomorphic encryption (2020)
  12. Hoffstein, Jeffrey; Silverman, Joseph H.; Whyte, William; Zhang, Zhenfei: A signature scheme from the finite field isomorphism problem (2020)
  13. Singh, Sonika; Padhye, Sahadeo: Identity based blind signature scheme over NTRU lattices (2020)
  14. Zhou, Qiang; Tian, Chengliang; Zhang, Hanlin; Yu, Jia; Li, Fengjun: How to securely outsource the extended Euclidean algorithm for large-scale polynomials over finite fields (2020)
  15. 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)
  16. Ferradi, Houda; Naccache, David: Integer reconstruction public-key encryption (2019)
  17. Gu, Chunsheng: Integer version of ring-LWE and its applications (2019)
  18. Mukherjee, Sankar; Gupta, Daya Sagar; Biswas, G. P.: An efficient and batch verifiable conditional privacy-preserving authentication scheme for VANETs using lattice (2019)
  19. Seck, Michel; Sow, Djiby: BI-NTRU encryption schemes: two new secure variants of NTRU (2019)
  20. Shao, Changpeng; Li, Yang; Li, Hongbo: Quantum algorithm design: techniques and applications (2019)

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