doi: 10.7873/DATE.2015.0378

Efficient Software Implementation of Ring-LWE Encryption

Ruan de Clercqa, Sujoy Sinha Royb, Frederik Vercauterenc and Ingrid Verbauwheded

KU Leuven, Department of Electrical Engineering - ESAT/COSIC and iMinds, Belgium.


Present-day public-key cryptosystems such as RSA and Elliptic Curve Cryptography (ECC) will become insecure when quantum computers become a reality. This paper presents the new state of the art in efficient software implementations of a post-quantum secure public-key encryption scheme based on the ring-LWE problem. We use a 32-bit ARM Cortex-M4F microcontroller as the target platform. Our contribution includes optimization techniques for fast discrete Gaussian sampling and efficient polynomial multiplication. Our implementation beats all known software implementations of ring-LWE encryption by a factor of at least 7. We further show that our scheme beats ECCbased public-key encryption schemes by at least one order of magnitude. At medium-term security we require 121 166 cycles per encryption and 43 324 cycles per decryption, while at a longterm security we require 261 939 cycles per encryption and 96 520 cycles per decryption. Gaussian sampling is done at an average of 28.5 cycles per sample.

Keywords: Ring learning with errors (ring-LWE), Software implementation, Post-quantum secure, Public-key encryption, Discrete Gaussian sampling, Number theoretic transform.

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