Pseudo 4D projective coordinate-based multi-base scalar multiplication

In order to address the problem of elliptic curve cryptosystem (ECC) for the expensive cost in scalar multiplication and the vulnerability to the power analysis attacks,a pseudo 4D projective coordinate-based multi-base scalar multiplication was proposed to optimize group operation layer and scalar...

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Main Authors: Ming XU, Liang SHI
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2018-05-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018078/
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author Ming XU
Liang SHI
author_facet Ming XU
Liang SHI
author_sort Ming XU
collection DOAJ
description In order to address the problem of elliptic curve cryptosystem (ECC) for the expensive cost in scalar multiplication and the vulnerability to the power analysis attacks,a pseudo 4D projective coordinate-based multi-base scalar multiplication was proposed to optimize group operation layer and scalar multiplication operation layer,which aimed at increasing the performance of ECC and resisting common power analysis attacks.Experimental results show that compared with the state-of-the-art algorithms,the proposed algorithm decreases 5.71% of point doubling cost,3.17% of point tripling cost,and 8.74% of point quintupling cost under discrete group operations.When the key length is 160 bit,the proposed algorithm decreases 36.32% of point tripling cost,17.42% of point quintupling cost,and 8.70% of the system cost under continuous group operations.The analyzing of power consumption wave shows that the proposed algorithm can resist SPA and DPA attack.
format Article
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institution Kabale University
issn 1000-436X
language zho
publishDate 2018-05-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-e9e68108c7b544d1a363674824e5f74c2025-01-14T07:14:44ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2018-05-0139748459718149Pseudo 4D projective coordinate-based multi-base scalar multiplicationMing XULiang SHIIn order to address the problem of elliptic curve cryptosystem (ECC) for the expensive cost in scalar multiplication and the vulnerability to the power analysis attacks,a pseudo 4D projective coordinate-based multi-base scalar multiplication was proposed to optimize group operation layer and scalar multiplication operation layer,which aimed at increasing the performance of ECC and resisting common power analysis attacks.Experimental results show that compared with the state-of-the-art algorithms,the proposed algorithm decreases 5.71% of point doubling cost,3.17% of point tripling cost,and 8.74% of point quintupling cost under discrete group operations.When the key length is 160 bit,the proposed algorithm decreases 36.32% of point tripling cost,17.42% of point quintupling cost,and 8.70% of the system cost under continuous group operations.The analyzing of power consumption wave shows that the proposed algorithm can resist SPA and DPA attack.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018078/elliptic curve cryptosystemcoordinate transformationmulti-base scalar multiplicationpower analysis attack
spellingShingle Ming XU
Liang SHI
Pseudo 4D projective coordinate-based multi-base scalar multiplication
Tongxin xuebao
elliptic curve cryptosystem
coordinate transformation
multi-base scalar multiplication
power analysis attack
title Pseudo 4D projective coordinate-based multi-base scalar multiplication
title_full Pseudo 4D projective coordinate-based multi-base scalar multiplication
title_fullStr Pseudo 4D projective coordinate-based multi-base scalar multiplication
title_full_unstemmed Pseudo 4D projective coordinate-based multi-base scalar multiplication
title_short Pseudo 4D projective coordinate-based multi-base scalar multiplication
title_sort pseudo 4d projective coordinate based multi base scalar multiplication
topic elliptic curve cryptosystem
coordinate transformation
multi-base scalar multiplication
power analysis attack
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018078/
work_keys_str_mv AT mingxu pseudo4dprojectivecoordinatebasedmultibasescalarmultiplication
AT liangshi pseudo4dprojectivecoordinatebasedmultibasescalarmultiplication