tailieunhanh - A High-Performance Reconfigurable Elliptic Curve Processor for GF (2m)

This work proposes a processor architecture for elliptic curves cryptosystems over fields GF (2m ). This is a scalable architecture in terms of area and speed that exploits the abilities of reconfigurable hardware to deliver optimized circuitry for different elliptic curves and finite fields. | A High-Performance Reconfigurable Elliptic Curve Processor for GF 2m Gerardo Orlando1 and Christof Paar2 1 General Dynamics Communication Systems 77 A St. Needham MA 02494-2892 USA 2 ECE Department Worcester Polytechnic Institute 100 Institute Road Worcester MA 01609 USA christof@ Abstract. This work proposes a processor architecture for elliptic curves cryptosystems over fields GF 2m . This is a scalable architecture in terms of area and speed that exploits the abilities of reconfigurable hardware to deliver optimized circuitry for different elliptic curves and finite fields. The main features of this architecture are the use of an optimized bitparallel squarer a digit-serial multiplier and two programmable processors. Through reconfiguration the squarer and the multiplier architectures can be optimized for any field order or field polynomial. The multiplier performance can also be scaled according to system s needs. Our results show that implementations of this architecture executing the projective coordinates version of the Montgomery scalar multiplication algorithm can compute elliptic curve scalar multiplications with arbitrary points in msec in the field GF 2167 . A result that is at least 19 times faster than documented hardware implementations and at least 37 times faster than documented software implementations. 1 Introduction This work proposes a scalable elliptic curve processor architecture ECP which operates over finite fields GF 2m . One of its key features is its suitability for reconfigurable hardware. Unlike traditional VLSI hardware reconfigurable devices such as Field Programmable Gate Arrays FPGA do not possess fixed functionality after fabrication but can be reprogrammed during operation. The scalability of the ECP architecture and the flexibility of reconfigurable hardware afford implementations the following benefits Architecture Efficiency. The complexity of finite field arithmetic architectures .

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