Elliptic Curve Cryptography for Wireless Sensor Networks Using the Number Theoretic Transform
Elliptic Curve Cryptography for Wireless Sensor Networks Using the Number Theoretic Transform
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DOI：
10.3390/s20051507
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发表时间：
2020-03-01
期刊：
影响因子：
3.9
通讯作者：
Baktir, Selcuk
中科院分区：
文献类型：
--
作者：
Gulen, Utku;Baktir, Selcuk
在无线传感器网络节点中常用的微控制器MSP430上实现了椭圆曲线密码体制。根据椭圆曲线标量点乘运算的要求，利用数论变换进行有限域乘法和平方运算。我们在文献中首次利用快速傅里叶变换来加速数论变换，从而有效地实现了椭圆曲线密码体制。对于定点和随机点的乘法，我们实现椭圆曲线标量点乘的时间分别只有0.65%的S和1.31%的S，并且与文献中已有的工作相比具有相似或更好的时序性能。
We implement elliptic curve cryptography on the MSP430 which is a commonly used microcontroller in wireless sensor network nodes. We use the number theoretic transform to perform finite field multiplication and squaring as required in elliptic curve scalar point multiplication. We take advantage of the fast Fourier transform for the first time in the literature to speed up the number theoretic transform for an efficient realization of elliptic curve cryptography. Our implementation achieves elliptic curve scalar point multiplication in only 0.65 s and 1.31 s for multiplication of fixed and random points, respectively, and has similar or better timing performance compared to previous works in the literature.