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Generating pairing-friendly elliptic curves with fixed embedding degrees

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References

  1. 1

    Brezing F, Weng A. Elliptic curves suitable for pairing based cryptography. Des Codes Cryptogr, 2005, 37: 133–141

  2. 2

    Barreto P S L M, Naehrig M. Pairing-friendly elliptic curves of prime order. In: Proceedings of the 12th International Conference on Selected Areas in Cryptography. Berlin: Springer, 2005. 319–331

  3. 3

    Barreto P S L M, Lynn B, Scott M. Constructing elliptic curves with prescribed embedding degrees. In: Proceedings of the 3rd International Conference on Security in Communication Networks. Berlin: Springer, 2002. 263–273

  4. 4

    Miyaji A, Nakabayashi M, Takano S. New explicit conditions of elliptic curve traces for FR-reduction. IEICE Trans Fund Electron Commun Comput Sci, 2001, 84: 1234–1243

  5. 5

    Scott M, Barreto P S L M. Generating more MNT elliptic curves. Des Codes Cryptogr, 2006, 38: 209–217

  6. 6

    Pohlig S, Hellman M. An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. IEEE Trans Inf Theory, 1978, 24: 106–110

  7. 7

    Freeman D, Scott M, Teske E. A taxonomy of pairingfriendly elliptic curves. J Cryptol, 2010, 23: 224–280

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Correspondence to Liang Li.

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Li, L. Generating pairing-friendly elliptic curves with fixed embedding degrees. Sci. China Inf. Sci. 60, 119101 (2017). https://doi.org/10.1007/s11432-016-0412-0

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