Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
Improved Algorithms for Elliptic Curve Arithmetic in GF(2n)
SAC '98 Proceedings of the Selected Areas in Cryptography
A Scalable Dual-Field Elliptic Curve Cryptographic Processor
IEEE Transactions on Computers
IEEE Transactions on Computers
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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Implementing Public-Key cryptography systems is a challenge for most application platforms when several factors have to be considered in selecting the implementation platform. Elliptic Curve Cryptography is considered much more suitable than other public-key algorithms. It uses lower power consumption, has higher performance and can be implemented on small areas that can be achieved by using ECC. In this work, scalable and parallel framework of FPGA based, Dual Field (Prime and Binary Field) ECC processor is explored. Using Altera - Quartus software tool, a 160 bit ECC processor core with four 32 bit Arithmetic Units is evaluated on EP3SE50F780C3. Scalar multiplication is performed in 445 µsecs and occupies 9763 LUT's.