文章基本信息

标题：Improving the Performance of {0,1,3}-NAF Recoding Algorithm for Elliptic Curve Scalar Multiplication
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作者：Waleed K AbdulRaheem ; Sharifah Bte Md Yasin ; Nur Izura Binti Udzir 等
期刊名称：International Journal of Advanced Computer Science and Applications(IJACSA)
印刷版ISSN：2158-107X
电子版ISSN：2156-5570
出版年度：2019
卷号：10
期号：4
页码：275-279
DOI：10.14569/IJACSA.2019.0100432
出版社：Science and Information Society (SAI)
摘要：Although scalar multiplication is highly fundamental to elliptic curve cryptography (ECC), it is the most time-consuming operation. The performance of such scalar multiplication depends on the performance of its scalar recoding which can be measured in terms of the time and memory consumed, as well as its level of security. This paper focuses on the conversion of binary scalar key representation into {0, 1, 3}-NAF non-adjacent form. Thus, we propose an improved {0, 1, 3}-NAF lookup table and mathematical formula algorithm which improves the performance of {0, 1, 3}-NAF algorithm. This is achieved by reducing the number of rows from 15 rows to 6 rows, and reading two (instead of three) digits to produce one. Furthermore, the improved lookup table reduces the recoding time of the algorithm by over 60% with a significant reduction in memory consumption even with an increase in key size. Specifically, the improved lookup table reduces the memory consumption by as much as 75% for the big key, which shows its higher level of resilience to side channel attacks.
关键词：Elliptic Curve Cryptosystem (ECC); scalar multiplication algorithm; {0; 1; 3}-NAF method; Non-Adjacent Form (NAF)