- 期刊
Parallelized Scalar Multiplication on Elliptic Curves Defined over Optimal Extension Field
並列摘要
In this paper, we propose three algorithms to perform scalar multiplication on elliptic curves defined over higher characteristic finite fields such as the OEF (Optimal Extension Field). First, we propose an efficient scalar multiplication method in which the Frobenius expansion is used on an elliptic curve defined over OEF. Second, we propose a new finite field multiplication algorithm. Third, we propose a particular polynomial squaring algorithm. We show that the proposed algorithms, when used together, accelerate the scalar multiplication on elliptic curves by two-fold.
被引用紀錄
邱建翔（2011）。奈米孔洞碳材之合成、鑑定及氣體吸附的研究〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201100135
鄭暐群（2009）。建構樣式變更型新產品的輔助設計流程〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200900307
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延伸閱讀
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