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Elliptic curves / Finite fields / Modular arithmetic / Integer factorization algorithms / Elliptic curve / Supersingular elliptic curve / Prime number / Quadratic reciprocity / Primality test / Abstract algebra / Mathematics / Number theory


FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri
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Document Date: 2010-05-03 13:25:59

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Bilinear Subgroup / /

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Product Recall / Product Issues / /

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point counting algorithms / above algorithm / cyclic / important applications / immediate algorithm / /

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National Security Agency / National Science Foundation / /

Person

Daniel Bernstein / Samuel Kadziela / David Freeman / /

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CM / /

PublishedMedium

Cryptology ePrint Archive / /

Technology

cryptography / above algorithm / point counting algorithms / immediate algorithm / public key / Cocks-Pinch algorithm / partial homomorphic encryption / keyword-searchable encryption / /

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