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Subject: Computer Science ; Engineering
Title:
scalar multiplication on kummer surface revisited
Author: Lin Qiping ; Zhang Fangguo
Source: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issued Date: 2012
Keyword: Electrical engineering
Publisher: JST
Indexed Type: EI ; SCI
ISSN: 0916-8508
Department: (1) School of Information Science and Technology Sun Yat-sen University Guangzhou 510006 China; (2) State Key Laboratory of Information Security Institute of Software Chinese Academy of Sciences Beijing China
Abstract: The main benefit of HECC is that it has much smaller parameter sizes and offers equivalent security as ECC and RSA. However, there are still more researches on ECC than on HECC. One of the reasons is that the computation of scalar multiplication cannot catch up. The Kummer surface can speed up the scalar multiplication in genus two curves. In this paper, we find that the scalar multiplication formulas of Duquesne in characteristic p > 3 on the Kummer surface are not correct. We verify and revise the formulas with mathematical software. The operation counts become 29M + 2S for new pseudo-addition formulas and 30M + 10S for doubling ones. And then we speed up the scalar multiplication on the Kummer surface with Euclidean addition chains. Copyright © 2012 The Institute of Electronics, Information and Communication Engineers.
English Abstract: The main benefit of HECC is that it has much smaller parameter sizes and offers equivalent security as ECC and RSA. However, there are still more researches on ECC than on HECC. One of the reasons is that the computation of scalar multiplication cannot catch up. The Kummer surface can speed up the scalar multiplication in genus two curves. In this paper, we find that the scalar multiplication formulas of Duquesne in characteristic p > 3 on the Kummer surface are not correct. We verify and revise the formulas with mathematical software. The operation counts become 29M + 2S for new pseudo-addition formulas and 30M + 10S for doubling ones. And then we speed up the scalar multiplication on the Kummer surface with Euclidean addition chains. Copyright © 2012 The Institute of Electronics, Information and Communication Engineers.
Language: 英语
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Content Type: 会议论文
URI: http://ir.iscas.ac.cn/handle/311060/15681
Appears in Collections:软件所图书馆_会议论文

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