Efficient Ring-LWE Encryption on 8-Bit AVR Processors View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2015

AUTHORS

Zhe Liu , Hwajeong Seo , Sujoy Sinha Roy , Johann Großschädl , Howon Kim , Ingrid Verbauwhede

ABSTRACT

Public-key cryptography based on the “ring-variant” of the Learning with Errors (ring-LWE) problem is both efficient and believed to remain secure in a post-quantum world. In this paper, we introduce a carefully-optimized implementation of a ring-LWE encryption scheme for 8-bit AVR processors like the ATxmega128. Our research contributions include several optimizations for the Number Theoretic Transform (NTT) used for polynomial multiplication. More concretely, we describe the Move-and-Add (MA) and the Shift-Add-Multiply-Subtract-Subtract (SAMS2) technique to speed up the performance-critical multiplication and modular reduction of coefficients, respectively. We take advantage of incompletely-reduced intermediate results to minimize the total number of reduction operations and use a special coefficient-storage method to decrease the RAM footprint of NTT multiplications. In addition, we propose a byte-wise scanning strategy to improve the performance of a discrete Gaussian sampler based on the Knuth-Yao random walk algorithm. For medium-term security, our ring-LWE implementation needs 590 k, 672 k, and 276 k clock cycles for key-generation, encryption, and decryption, respectively. On the other hand, for long-term security, the execution time of key-generation, encryption, and decryption amount to 2.2 M, 2.6 M, and 686 k cycles, respectively. These results set new speed records for ring-LWE encryption on an 8-bit processor and outperform related RSA and ECC implementations by an order of magnitude. More... »

PAGES

663-682

References to SciGraph publications

  • 2012. On the Design of Hardware Building Blocks for Modern Lattice-Based Encryption Schemes in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2012
  • 2014-06. Sampling from discrete Gaussians for lattice-based cryptography on a constrained device in APPLICABLE ALGEBRA IN ENGINEERING, COMMUNICATION AND COMPUTING
  • 2015-12. High-speed Curve25519 on 8-bit, 16-bit, and 32-bit microcontrollers in DESIGNS, CODES AND CRYPTOGRAPHY
  • 2012. Towards Efficient Arithmetic for Lattice-Based Cryptography on Reconfigurable Hardware in PROGRESS IN CRYPTOLOGY – LATINCRYPT 2012
  • 2014. MoTE-ECC: Energy-Scalable Elliptic Curve Cryptography for Wireless Sensor Networks in APPLIED CRYPTOGRAPHY AND NETWORK SECURITY
  • 2010. On Ideal Lattices and Learning with Errors over Rings in ADVANCES IN CRYPTOLOGY – EUROCRYPT 2010
  • 2010. Fast Software AES Encryption in FAST SOFTWARE ENCRYPTION
  • 2014. Enhanced Lattice-Based Signatures on Reconfigurable Hardware in ADVANCED INFORMATION SYSTEMS ENGINEERING
  • 2004. Comparing Elliptic Curve Cryptography and RSA on 8-bit CPUs in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS - CHES 2004
  • 2014. New Speed Records for Montgomery Modular Multiplication on 8-Bit AVR Microcontrollers in PROGRESS IN CRYPTOLOGY – AFRICACRYPT 2014
  • 2014. High Precision Discrete Gaussian Sampling on FPGAs in SELECTED AREAS IN CRYPTOGRAPHY -- SAC 2013
  • 2006. Curve25519: New Diffie-Hellman Speed Records in PUBLIC KEY CRYPTOGRAPHY - PKC 2006
  • Book

    TITLE

    Cryptographic Hardware and Embedded Systems -- CHES 2015

    ISBN

    978-3-662-48323-7
    978-3-662-48324-4

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-662-48324-4_33

    DOI

    http://dx.doi.org/10.1007/978-3-662-48324-4_33

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1039255185


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