Cryptology ePrint Archive: Report 2013/838

An improved compression technique for signatures based on learning with errors

Shi Bai and Steven D. Galbraith

Abstract: We present a new approach to the compression technique of Lyubashevsky et al for lattice-based signatures based on learning with errors (LWE). Our ideas seem to be particularly suitable for signature schemes whose security, in the random oracle model, is based on standard worst-case computational assumptions. Our signatures are shorter than any previous proposal for provably-secure signatures based on standard lattice problems: at the 128-bit level we improve signature size from (more than) 16500 bits to around 9000 to 12000 bits.

Category / Keywords: secret-key cryptography / Lattice-based signatures, learning with errors

Original Publication (with major differences): J. Benaloh (Ed.), CT-RSA 2014, LNCS 8366 (2014) 28--47.

Date: received 11 Dec 2013, last revised 22 Jan 2014

Contact author: S Galbraith at math auckland ac nz

Available format(s): PDF | BibTeX Citation

Note: This is the full version of the paper, with additional proofs and information and discussion.

Version: 20140122:212655 (All versions of this report)

Short URL: ia.cr/2013/838