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Finite fields / Computer arithmetic / Group theory / Lenstra elliptic curve factorization / Elliptic curves / Elliptic curve / Montgomery reduction / Division / ECM Records / Abstract algebra / Integer factorization algorithms / Mathematics


Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1
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Document Date: 2009-03-05 01:42:52

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Montgomery / B1 / ECM / B2 / Q0 / kP0 / TAD1 / 100B1 / DQ0 / jQ0 / /

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ECM algorithm / FPGA / purpose factoring algorithm / ASIC / 2 Montgomery Ladder Algorithm / Montgomery ladder algorithm / sub-exponential factoring algorithm / Radix-2 Multiplier Algorithm / implementation technology / 2 2.1 Elliptic Curve Method ECM Algorithm / 1 ECM Algorithm / simulation / VHDL / integrated circuits / integrated circuit / /

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