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Elliptic curves / Finite fields / Number theory / Cryptography / Group theory / Weil pairing / Supersingular elliptic curve / Algebraic number field / Curve / Abstract algebra / Mathematics / Algebra


Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field Ezekiel Justin Kachisa?1 , Edward F. Schaefer ??2
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Document Date: 2007-12-14 05:53:33

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NTL / G1 / the AES / /

Currency

pence / /

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Facility

Computing Dublin City University / Computer Science Santa Clara University / /

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search programs / finite cyclic additive groups / finite cyclic multiplicative / double-and-add algorithm / ekachisa@computing.dcu.ie eschaefer@scu.edu mike@computing.dcu.ie / integer solutions / search space / exhaustive search / /

Organization

Santa Clara University / School of Computing Dublin City University Ireland Department of Mathematics / /

Person

Justin Kachisa / Michael Scott / Lynn / Edward F. Schaefer / /

Technology

Encryption / identity-based encryption / This algorithm / cryptography / following algorithm / DLP / pairing algorithm / double-and-add algorithm / Digital Signature / /

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