• Title/Summary/Keyword: Radix-4 Booth Algorithm

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A 200-MHZ@2.5-V Dual-Mode Multiplier for Single / Double -Precision Multiplications (단정도/배정도 승산을 위한 200-MHZ@2.5-V 이중 모드 승산기)

  • 이종남;박종화;신경욱
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.5
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    • pp.1143-1150
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    • 2000
  • A dual-mode multiplier (DMM) that performs single- and double-precision multiplications has been designed using a $0.25-\mum$ 5-metal CMOS technology. An algorithm for efficiently implementing double-precision multiplication with a single-precision multiplier was proposed, which is based on partitioning double-precision multiplication into four single-precision sub-multiplications and computing them with sequential accumulations. When compared with conventional double-precision multipliers, our approach reduces the hardware complexity by about one third resulting in small silicon area and low-power dissipation at the expense of increased latency and throughput cycles. The DMM consists of a $28-b\times28-b$ single-precision multiplier designed using radix-4 Booth receding and redundant binary (RB) arithmetic, an accumulator and a simple control logic for mode selection. It contains about 25,000 transistors on the area of about $0.77\times0.40-m^2$. The HSPICE simulation results show that the DMM core can safely operate with 200-MHZ clock at 2.5-V, and its estimated power dissipation is about 130-㎽ at double-precision mode.

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An Efficient Test Method for a Full-Custom Design of a High-Speed Binary Multiplier (풀커스텀 (full-custom) 고속 곱셈기 회로의 효율적인 테스트 방안)

  • Moon, San-Gook
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.10a
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    • pp.830-833
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    • 2007
  • In this paper, we implemented a $17{\times}17b$ binary digital multiplier using radix-4 Booth;s algorithmand proposed an efficient testing methodology for the full-custom design. A two-stage pipeline architecture was applied to achieve higher throughput and 4:2 adders were used for regular layout structure in the Wallace tree partition. Several chips were fabricated using LG Semicon 0.6-um 3-Metal N-well CMOS technology. We did fault simulations efficiently using the proposed test method resulting in the reduction of the number of faulty nodes by 88%. The chip contains 9115 transistors and the core area occupies $1135^*1545$ mm2. The functional tests using ATS-2 tester showed that it can operate with 24 MHz clock at 5.0 V at room temperature.

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VLSI Implementation of High Speed Variable-Length RSA Crytosystem (가변길이 고속 RSA 암호시스템의 VLSI 구현)

  • 박진영;서영호;김동욱
    • Proceedings of the IEEK Conference
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    • 2002.06b
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    • pp.285-288
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    • 2002
  • In this paper, a new structure of 1024-bit high-speed RSA cryptosystem has been proposed and implemented in hardware to increase the operation speed and enhance the variable-length operation in the plain text. The proposed algorithm applied a radix-4 Booth algorithm and CSA(Carry Save Adder) to the Montgomery algorithm for modular multiplication As the results from implementation, the clock period was approached to one delay of a full adder and the operation speed was 150MHz. The total amount of hardware was about 195k gates. The cryptosystem operates as the effective length of the inputted modulus number, which makes variable length encryption rather than the fixed-length one. Therefore, a high-speed variable-length RSA cryptosystem could be implemented.

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Design of High Performance 16bit Multiplier for Asynchronous Systems (비동기 시스템용 고성능 16비트 승산기 설계)

  • 김학윤;이유진;장미숙;최호용
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.356-359
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    • 1999
  • A high performance 16bit multiplier for asynchronous systems has been designed using asynchronous design methodology. The 4-radix modified Booth algorithm, TSPC (true single phase clocking) registers, and modified 4-2 counters using DPTL (differential pass transistor logic) have been used in our multiplier. It is implemented in 0.65${\mu}{\textrm}{m}$ double-poly/double-metal CMOS technology by using 6616 transistors with core size of 1.4$\times$1.1$\textrm{mm}^2$. And our design results in a computation rate exceeding 60MHz at a supply voltage of 3.3V.

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17$\times$17-b Multiplier for 32-bit RISC/DSP Processors (32 비트 RISC/DSP 프로세서를 위한 17 비트 $\times$ 17 비트 곱셈기의 설계)

  • 박종환;문상국;홍종욱;문병인;이용석
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.914-917
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    • 1999
  • The paper describes a 17 $\times$ 17-b multiplier using the Radix-4 Booth’s algorithm. which is suitable for 32-bit RISC/DSP microprocessors. To minimize design area and achieve improved speed, a 2-stage pipeline structure is adopted to achieve high clock frequency. Each part of circuit is modeled and optimized at the transistor level, verification of functionality and timing is performed using HSPICE simulations. After modeling and validating the circuit at transistor level, we lay it out in a 0.35 ${\mu}{\textrm}{m}$ 1-poly 4-metal CMOS technology and perform LVS test to compare the layout with the schematic. The simulation results show that maximum frequency is 330MHz under worst operating conditions at 55$^{\circ}C$ , 3V, The post simulation after layout results shows 187MHz under worst case conditions. It contains 9, 115 transistors and the area of layout is 0.72mm by 0.97mm.

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Design and Hardware Implementation of High-Speed Variable-Length RSA Cryptosystem (가변길이 고속 RSA 암호시스템의 설계 및 하드웨어 구현)

  • 박진영;서영호;김동욱
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.27 no.9C
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    • pp.861-870
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    • 2002
  • In this paper, with targeting on the drawback of RSA of operation speed, a new 1024-bit RSA cryptosystem has been proposed and implemented in hardware to increase the operational speed and perform the variable-length encryption. The proposed cryptosystem mainly consists of the modular exponentiation part and the modular multiplication part. For the modular exponentiation, the RL-binary method, which performs squaring and modular multiplying in parallel, was improved, and then applied. And 4-stage CSA structure and radix-4 booth algorithm were applied to enhance the variable-length operation and reduce the number of partial product in modular multiplication arithmetic. The proposed RSA cryptosystem which can calculate at most 1024 bits at a tittle was mapped into the integrated circuit using the Hynix Phantom Cell Library for Hynix 0.35㎛ 2-Poly 4-Metal CMOS process. Also, the result of software implementation, which had been programmed prior to the hardware research, has been used to verify the operation of the hardware system. The size of the result from the hardware implementation was about 190k gate count and the operational clock frequency was 150㎒. By considering a variable-length of modulus number, the baud rate of the proposed scheme is one and half times faster than the previous works. Therefore, the proposed high speed variable-length RSA cryptosystem should be able to be used in various information security system which requires high speed operation.