Abstract
Fast implementation of Ring-LWE is a challenge for the low-end embedded processors. One of the most expensive operation for Ring-LWE is Number Theoretic Transform (NTT). Many works have investigated the optimized implementation for the NTT operation. In this paper, we further optimized the NTT operation on the low-end 8-bit AVR microcontrollers. We focused on the optimized and secure polynomial multiplication to ensure countermeasures against timing attacks and high performance. In particular, we propose the combined Look-Up Table (LUT) based fast reduction techniques in regular fashion. With the optimization techniques, the proposed NTT implementation enhances the performance by 14.6% than previous best results. Finally, proposed NTT implementations are applied to the Ring-LWE key scheduling and encryption operations, which require the only 1,325,171 and 1,430,601 clock cycles for 256-bit security levels.
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Notes
- 1.
Two LUTs only require 1.5 KB (\(2^8 \times 2 + 2^9 \times 2\)) and the LUTs are stored in the FLASH memory. Considering that 8-bit AVR platforms support to write data into the FLASH memory and its size is ranging from 128–384 KB. The storage for LUTs is negligible on the target processors.
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Acknowledgement
This work was supported as part of Military Crypto Research Center(UD170109ED) funded by Defense Acquisition Program Administration(DAPA) and Agency for Defense Development(ADD).
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Seo, H. et al. (2020). Ring-LWE on 8-Bit AVR Embedded Processor. In: You, I. (eds) Information Security Applications. WISA 2019. Lecture Notes in Computer Science(), vol 11897. Springer, Cham. https://doi.org/10.1007/978-3-030-39303-8_24
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DOI: https://doi.org/10.1007/978-3-030-39303-8_24
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