A New Ring Signature Scheme from NTRU Lattice

In this paper, we propose a new lattice-based ring signature scheme which security can be reduced to a well-known signature scheme, NTRUSign. This new ring signature greatly decreases the key space and the signature length comparing with the existing lattice-based ring signature schemes. Our scheme is suitable for mobile lightweight devices, such as smart cards, cell phone, and RFID tokens.

[1]  C. P. Schnorr,et al.  Efficient Identification and Signatures for Smart Cards (Abstract) , 1989, EUROCRYPT.

[2]  Miklós Ajtai,et al.  Generating hard instances of lattice problems (extended abstract) , 1996, STOC '96.

[3]  Oded Goldreich,et al.  Public-Key Cryptosystems from Lattice Reduction Problems , 1996, CRYPTO.

[4]  Oded Goldreich,et al.  Collision-Free Hashing from Lattice Problems , 1996, Electron. Colloquium Comput. Complex..

[5]  Miklós Ajtai,et al.  Generating Hard Instances of Lattice Problems , 1996, Electron. Colloquium Comput. Complex..

[6]  H. Niederreiter,et al.  Finite Fields: Encyclopedia of Mathematics and Its Applications. , 1997 .

[7]  Joseph H. Silverman,et al.  NTRU: A Ring-Based Public Key Cryptosystem , 1998, ANTS.

[8]  Yael Tauman Kalai,et al.  How to Leak a Secret: Theory and Applications of Ring Signatures , 2001, Essays in Memory of Shimon Even.

[9]  Jacques Stern,et al.  Threshold Ring Signatures and Applications to Ad-hoc Groups , 2002, CRYPTO.

[10]  Daniele Micciancio,et al.  Generalized Compact Knapsacks, Cyclic Lattices, and Efficient One-Way Functions , 2002, The 43rd Annual IEEE Symposium on Foundations of Computer Science, 2002. Proceedings..

[11]  Nick Howgrave-Graham,et al.  NTRUSIGN: Digital Signatures Using the NTRU Lattice , 2003, CT-RSA.

[12]  Yi Mu,et al.  Perfect Concurrent Signature Schemes , 2004, ICICS.

[13]  Oded Regev,et al.  New lattice based cryptographic constructions , 2003, STOC '03.

[14]  Jonathan Katz,et al.  Ring Signatures: Stronger Definitions, and Constructions without Random Oracles , 2005, IACR Cryptol. ePrint Arch..

[15]  William Whyte,et al.  On estimating the lattice security of NTRU , 2005, IACR Cryptol. ePrint Arch..

[16]  Phong Q. Nguyen,et al.  Learning a Parallelepiped: Cryptanalysis of GGH and NTRU Signatures , 2006, EUROCRYPT.

[17]  Jun Ao,et al.  NTRU based group oriented signature , 2009, IACR Cryptol. ePrint Arch..

[18]  Yael Tauman Kalai,et al.  A Framework for Efficient Signatures, Ring Signatures and Identity Based Encryption in the Standard Model , 2010, IACR Cryptol. ePrint Arch..

[19]  Michael Schneider,et al.  Estimating the Security of Lattice-based Cryptosystems , 2010, IACR Cryptol. ePrint Arch..

[20]  Pierre-Louis Cayrel,et al.  A Lattice-Based Threshold Ring Signature Scheme , 2010, LATINCRYPT.

[21]  Jin Wang.  Ring Signature and Identity-Based Ring Signature from Lattice Basis Delegation , 2010, IACR Cryptol. ePrint Arch..

[22]  David Cash,et al.  Bonsai Trees, or How to Delegate a Lattice Basis , 2010, Journal of Cryptology.