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• W137603866 abstract "The elliptic curve cryptography (ECC) has been identi ed as an e cient scheme for public-key cryptography. This thesis studies e cient implementation of ECC cryptoprocessors on hardware platforms in a bottom-up approach. We rst study e cient and low-complexity architectures for nite eld multiplications over Gaussian normal basis (GNB). We propose three new low-complexity digit-level architectures for nite eld multiplication. Architectures are modi ed in order to make them more suitable for hardware implementations specially focusing on reducing the area usage. Then, for the rst time, we propose a hybrid digit-level multiplier architecture which performs two multiplications together (double-multiplication) with the same number of clock cycles required as the one for one multiplication. We propose a new hardware architecture for point multiplication on newly introduced binary Edwards and generalized Hessian curves. We investigate higher level parallelization and lower level scheduling for point multiplication on these curves. Also, we propose a highly parallel architecture for point multiplication on Koblitz curves by modifying the addition formulation. Several FPGA implementations exploiting these modi cations are presented in this thesis. We employed the proposed hybrid multiplier architecture to reduce the latency of point multiplication in ECC crypto-processors as well as the double-exponentiation. This scheme is the rst known method to increase the speed of point multiplication whenever parallelization fails due to the data dependencies amongst lower level arithmetic computations. Our comparison results show that our proposed multiplier architectures outperform the counterparts available in the literature. Furthermore, fast computation of point multiplication on di erent binary elliptic curves is achieved." @default.
• W137603866 created "2016-06-24" @default.
• W137603866 creator A5064156050 @default.
• W137603866 date "2011-01-01" @default.
• W137603866 modified "2023-09-24" @default.
• W137603866 title "High Speed and Low-Complexity Hardware Architectures for Elliptic Curve-Based Crypto-Processors" @default.
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• W137603866 hasPublicationYear "2011" @default.
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