Generating More MNT Elliptic Curves |
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| Authors: | Michael Scott Paulo S L M Barreto |
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| Institution: | 1. School of Computer Applications, Dublin City University, Ballymun, Dublin 9, Ireland
2. Escola Politécnica, Universidade de S?o Paulo, Av. Prof. Luciano Gualberto, tr. 3, 158, SP, BR 05508-900, S?o Paulo, Brazil
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| Abstract: | In their seminal paper, Miyaji et al. 13] describe a simple method for the creation of elliptic curves of prime order with
embedding degree 3, 4, or 6. Such curves are important for the realisation of pairing-based cryptosystems on ordinary (non-supersingular)
elliptic curves. We provide an alternative derivation of their results, and extend them to allow for the generation of many
more suitable curves.
Research supported by Enterprise Ireland grant IF/2002/0312/N. |
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| Keywords: | elliptic curves pairing-based cryptosystems |
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