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Supersingular Elliptic Curves in Cryptography

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Pairing-Based Cryptography – Pairing 2007 (Pairing 2007)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 4575))

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Abstract

I will survey the checkered history of supersingular elliptic curves in cryptography, from their first consideration in the seminal papers of Koblitz and Miller, to their rejection after the discovery of the Weil and Tate pairing attacks on the discrete logarithm problem for these curves, and concluding with their resurrection alongside the discovery of pairing-based cryptography.

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Tsuyoshi Takagi Tatsuaki Okamoto Eiji Okamoto Takeshi Okamoto

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© 2007 Springer-Verlag Berlin Heidelberg

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Menezes, A. (2007). Supersingular Elliptic Curves in Cryptography. In: Takagi, T., Okamoto, T., Okamoto, E., Okamoto, T. (eds) Pairing-Based Cryptography – Pairing 2007. Pairing 2007. Lecture Notes in Computer Science, vol 4575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73489-5_15

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  • DOI: https://doi.org/10.1007/978-3-540-73489-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73488-8

  • Online ISBN: 978-3-540-73489-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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