TinyECCK : Efficient Implementation of Elliptic Curve Cryptosystem over GF$(2^m)$ on 8-bit Micaz Mote

Seo Seogchung, Dong‐Guk Han, Seokhie Hong · Information Security and Cryptology · 2008

In this paper, we revisit a generally accepted opinion: implementing Elliptic Curve Cryptosystem (ECC) over GF on sensor motes using small word size is not appropriate because partial XOR multiplication over GF is not efficiently supported by current low-powered microprocessors. Although there are some implementations over GF on sensor motes, their performances are not satisfactory enough due to the redundant memory accesses that result in inefficient field multiplication and reduction. Therefore, we propose some techniques for reducing unnecessary memory access instructions. With the proposed strategies, the running time of field multiplication and reduction over GF can be decreased by 21.1% and 24.7%, respectively. These savings noticeably decrease execution times spent in Elliptic Curve Digital Signature Algorithm (ECDSA) operations (Signing and verification) by around .

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