Constructing Pairing-Friendly Elliptic Curves under Embedding Degree 1 for Securing Critical Infrastructures
Identifieur interne : 000041 ( Main/Exploration ); précédent : 000040; suivant : 000042Constructing Pairing-Friendly Elliptic Curves under Embedding Degree 1 for Securing Critical Infrastructures
Auteurs : Maocai Wang [République populaire de Chine] ; Guangming Dai [République populaire de Chine] ; Kim-Kwang Raymond Choo [République populaire de Chine, États-Unis] ; Prem Prakash Jayaraman [Australie] ; Rajiv Ranjan [Royaume-Uni]Source :
- PLoS ONE [ 1932-6203 ] ; 2016.
Abstract
Information confidentiality is an essential requirement for cyber security in critical infrastructure. Identity-based cryptography, an increasingly popular branch of cryptography, is widely used to protect the information confidentiality in the critical infrastructure sector due to the ability to directly compute the user’s public key based on the user’s identity. However, computational requirements complicate the practical application of Identity-based cryptography. In order to improve the efficiency of identity-based cryptography, this paper presents an effective method to construct pairing-friendly elliptic curves with low hamming weight 4 under embedding degree 1. Based on the analysis of the Complex Multiplication(CM) method, the soundness of our method to calculate the characteristic of the finite field is proved. And then, three relative algorithms to construct pairing-friendly elliptic curve are put forward. 10 elliptic curves with low hamming weight 4 under 160 bits are presented to demonstrate the utility of our approach. Finally, the evaluation also indicates that it is more efficient to compute Tate pairing with our curves, than that of Bertoni et al.
Url:
DOI: 10.1371/journal.pone.0161857
PubMed: 27564373
PubMed Central: 5001717
Affiliations:
Links toward previous steps (curation, corpus...)
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Le document en format XML
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type="state">Texas</region></placeName></affiliation></author><author><name sortKey="Jayaraman, Prem Prakash" sort="Jayaraman, Prem Prakash" uniqKey="Jayaraman P" first="Prem Prakash" last="Jayaraman">Prem Prakash Jayaraman</name><affiliation wicri:level="1"><nlm:aff id="aff004"><addr-line>RMIT University, Melbourne, Australia</addr-line></nlm:aff><country xml:lang="fr">Australie</country><wicri:regionArea>RMIT University, Melbourne</wicri:regionArea><wicri:noRegion>Melbourne</wicri:noRegion></affiliation></author><author><name sortKey="Ranjan, Rajiv" sort="Ranjan, Rajiv" uniqKey="Ranjan R" first="Rajiv" last="Ranjan">Rajiv Ranjan</name><affiliation wicri:level="1"><nlm:aff id="aff005"><addr-line>University of Newcastle, Newcastle, United Kingdom</addr-line></nlm:aff><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>University of Newcastle, Newcastle</wicri:regionArea><wicri:noRegion>Newcastle</wicri:noRegion></affiliation></author></analytic><series><title level="j">PLoS ONE</title><idno type="eISSN">1932-6203</idno><imprint><date when="2016">2016</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>Information confidentiality is an essential requirement for cyber security in critical infrastructure. Identity-based cryptography, an increasingly popular branch of cryptography, is widely used to protect the information confidentiality in the critical infrastructure sector due to the ability to directly compute the user’s public key based on the user’s identity. However, computational requirements complicate the practical application of Identity-based cryptography. In order to improve the efficiency of identity-based cryptography, this paper presents an effective method to construct pairing-friendly elliptic curves with low hamming weight 4 under embedding degree 1. Based on the analysis of the Complex Multiplication(CM) method, the soundness of our method to calculate the characteristic of the finite field is proved. And then, three relative algorithms to construct pairing-friendly elliptic curve are put forward. 10 elliptic curves with low hamming weight 4 under 160 bits are presented to demonstrate the utility of our approach. Finally, the evaluation also indicates that it is more efficient to compute Tate pairing with our curves, than that of Bertoni et al.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Dong, Mx" uniqKey="Dong M">MX Dong</name></author><author><name sortKey="Ota, K" uniqKey="Ota K">K Ota</name></author><author><name sortKey="Laurence, T" uniqKey="Laurence T">T Laurence</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Wang, L" uniqKey="Wang L">L. Wang</name></author><author><name sortKey="Tao, J" uniqKey="Tao J">J. Tao</name></author><author><name sortKey="Ranjan, R" uniqKey="Ranjan R">R. 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first="Kim-Kwang Raymond" last="Choo">Kim-Kwang Raymond Choo</name><name sortKey="Dai, Guangming" sort="Dai, Guangming" uniqKey="Dai G" first="Guangming" last="Dai">Guangming Dai</name><name sortKey="Dai, Guangming" sort="Dai, Guangming" uniqKey="Dai G" first="Guangming" last="Dai">Guangming Dai</name><name sortKey="Wang, Maocai" sort="Wang, Maocai" uniqKey="Wang M" first="Maocai" last="Wang">Maocai Wang</name></country><country name="États-Unis"><region name="Texas"><name sortKey="Choo, Kim Kwang Raymond" sort="Choo, Kim Kwang Raymond" uniqKey="Choo K" first="Kim-Kwang Raymond" last="Choo">Kim-Kwang Raymond Choo</name></region></country><country name="Australie"><noRegion><name sortKey="Jayaraman, Prem Prakash" sort="Jayaraman, Prem Prakash" uniqKey="Jayaraman P" first="Prem Prakash" last="Jayaraman">Prem Prakash Jayaraman</name></noRegion></country><country name="Royaume-Uni"><noRegion><name sortKey="Ranjan, Rajiv" sort="Ranjan, Rajiv" uniqKey="Ranjan R" first="Rajiv" 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