Generating More MNT Elliptic Curves |
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Authors: | Michael Scott Paulo S. L. M. Barreto |
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Affiliation: | 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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