Elliptic Curve Point Multiplication by Generalized Mersenne Numbers-中国Betway体育网页登陆

摘要 Montgomerymodularmultiplicationintheresiduenumbersystem(RNS)canbeappliedforellipticcurvecryptography.Inthiswork,unifiedmodularmultipliersovergeneralizedMersennenumbersareproposedforRNSMontgomerymodularmultiplication,whichenablesefficientellipticcurvepointmultiplication(ECPM).Meanwhile,theellipticcurvearithmeticwithECPMisperformedbymixedcoordinatesandadjustedforhardwareimplementation.Inaddition,theconversionbetweenRNSandthebinarynumbersystemisalsodiscussed.Comparedwiththeresultsintheliterature,ourhardwarearchitectureforECPMdemonstrateshighperformance.A256-bitECPMinXilinxXC2VP100fieldprogrammablegatearraydevice(FPGA)canbeperformedin1.44ms,costing22147slices,45dedicatedmultipliers,and8.25Kbitsofrandomaccessmemories(RAMs).

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Elliptic Curve Point Multiplication by Generalized Mersenne Numbers

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