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Binary Field Multiplication on ARMv8, by Hwajeong Seo and Zhe Liu and Yasuyuki Nogami and Jongseok Choi and Howon Kim

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In this paper, we show efficient implementations of binary field multiplication over ARMv8. We exploit an advanced 64-bit polynomial multiplication (\texttt{PMULL}) supported by ARMv8 and conduct multiple levels of asymptotically faster Karatsuba multiplication. Finally, our method conducts binary field multiplication within 57 and 153 clock cycles for B-251 and B-571, respectively. Our proposed method on ARMv8 improves the performance by a factor of $5.5 \sim 7.2$ times than previous techniques on ARMv7.

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