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. Castryck, Wouter; Iliashenko, Ilia; Vercauteren, Frederik: On error distributions in ring-based LWE (2016)
  2. Cheon, Jung Hee; Jeong, Jinhyuck; Lee, Changmin: An algorithm for NTRU problems and cryptanalysis of the GGH multilinear map without a low-level encoding of zero (2016)
  3. Chung, Kyungmi; Lee, Hyang-Sook; Lim, Seongan: An efficient lattice reduction using reuse technique blockwisely on NTRU (2016)
  4. Doröz, Yarkın; Hu, Yin; Sunar, Berk: Homomorphic AES evaluation using the modified LTV scheme (2016)
  5. Hu, Gengran; Pan, Yanbin; Liu, Renzhang; Chen, Yuyun: On random nonsingular Hermite normal form (2016)
  6. Boroujeni, Marziyeh; Basiri, Abdolali; Rahmany, Sajjad; Valibouze, Annick: $\mathrmF_4$-invariant algorithm for computing SAGBI-Gröbner bases (2015)
  7. Ducas, Léo; Micciancio, Daniele: FHEW: bootstrapping homomorphic encryption in less than a second (2015)
  8. Hoffstein, Jeffrey; Silverman, Joseph H.: PASS-encrypt: a public key cryptosystem based on partial evaluation of polynomials (2015)
  9. Jarvis, Katherine; Nevins, Monica: ETRU: NTRU over the Eisenstein integers (2015)
  10. Kirchner, Paul; Fouque, Pierre-Alain: An improved BKW algorithm for LWE with applications to cryptography and lattices (2015)
  11. Laarhoven, Thijs: Sieving for shortest vectors in lattices using angular locality-sensitive hashing (2015)
  12. Laarhoven, Thijs; Mosca, Michele; van de Pol, Joop: Finding shortest lattice vectors faster using quantum search (2015)
  13. Langlois, Adeline; Stehlé, Damien: Worst-case to average-case reductions for module lattices (2015)
  14. Wang, Maoning; Liu, Mingjie: Improved information set decoding for code-based cryptosystems with constrained memory (2015)
  15. Wei, Wei; Liu, Mingjie; Wang, Xiaoyun: Finding shortest lattice vectors in the presence of gaps (2015)
  16. Bi, Jingguo; Cheng, Qi: Lower bounds of shortest vector lengths in random NTRU lattices (2014)
  17. Francis, Maria; Dukkipati, Ambedkar: Reduced Gröbner bases and Macaulay-Buchberger basis theorem over Noetherian rings (2014)
  18. Fukshansky, Lenny; Sun, Xun: On the geometry of cyclic lattices (2014)
  19. Langlois, Adeline; Stehlé, Damien; Steinfeld, Ron: GGHLite: more efficient multilinear maps from ideal lattices (2014)
  20. Wei, Wei; Tian, Chengliang; Wang, Xiaoyun: New transference theorems on lattices possessing $n^\varepsilon$-unique shortest vectors (2014)

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