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Abstract. Since its proposal by Victor Miller [17] and Neal Koblitz [15] in the mid 1980s, Elliptic Curve Cryptography (ECC) has evolved into a mature public-key cryptosystem. Offering the smallest key size and the highest strength per bit, its computational efficiency can benefit both client devices and server machines. We have designed a programmable hardware accelerator to speed up point multiplication for elliptic curves over binary polynomial fields GF (2 m ). The accelerator is based on a scalable architecture capable of handling curves of arbitrary field degrees up to m = 255. In addition, it delivers optimized performance for a set of commonly used curves through hard-wired reduction logic. A prototype implementation running in a Xilinx XCV2000E FPGA at 66.4 MHz shows a performance of 6987 point multiplications per second for GF (2 163 ). We have integrated ECC into OpenSSL, today's dominant implementation of the secure Internet protocol SSL, and tested it with the Apache web server and open-source web browsers.

Circuits such as logic cells, static random access memories, analog-digital converters and dc-dc converters can be used as building blocks for applications that can function efficiently over a wide range of supply voltages.ABSTRACT | Energy efficiency of electronic circuits is a critical concern in a wide range of applications from mobile multimedia to biomedical monitoring. An added challenge is that many of these applications have dynamic workloads. To reduce the energy consumption under these variable computation requirements, the underlying circuits must function efficiently over a wide range of supply voltages. This paper presents voltage-scalable circuits such as logic cells, SRAMs, ADCs, and dc-dc converters. Using these circuits as building blocks, two different applications are highlighted. First, we describe an H.264/AVC video decoder that efficiently scales between QCIF and 1080p resolutions, using a supply voltage varying from 0.5 V to 0.85 V. Second, we describe a 0.3 V 16-bit microcontroller with on-chip SRAM, where the supply voltage is generated efficiently by an integrated dc-dc converter. Fig. 5. Trend in minimum energy point of a 32 b adder with process scaling using predictive models [31].

The H.264/AVC video coding standard can deliver high compression efficiency at a cost of increased complexity and power. The increasing popularity of video capture and playback on portable devices requires that the power of the video codec be kept to a minimum. This work implements several architecture optimizations such as increased parallelism, pipelining with FIFOs, multiple voltage/frequency domains, and custom voltage-scalable SRAMs that enable low voltage operation to reduce the power of a high-definition decoder. Dynamic voltage and frequency scaling can efficiently adapt to the varying workloads by leveraging the low voltage capabilities and domain partitioning of the decoder. An H.264/AVC Baseline Level 3.2 decoder ASIC was fabricated in 65-nm CMOS and verified. For high definition 720p video decoding at 30 frames per second (fps), it operates down to 0.7 V with a measured power of 1.8 mW, which is significantly lower than previously published results. The highly scalable decoder is capable of operating down to 0.5 V for decoding QCIF at 15 fps with a measured power of 29 W.