• ETRI Journal
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• v.37 no.4
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• pp.787-792
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• 2015

To accomplish a high-speed test on low-speed automatic test equipment (ATE), a new instruction-based fully programmable memory built-in self-test (BIST) is proposed. The proposed memory BIST generates a highspeed internal clock signal by multiplying an external low-speed clock signal from an ATE by a clock multiplier embedded in a DRAM. For maximum programmability and small area overhead, the proposed memory BIST stores the unique sets of instructions and corresponding test sequences that are implicit within the test algorithms that it receives from an external ATE. The proposed memory BIST is managed by an external ATE on-the-fly to perform complicated and hard-to-implement functions, such as loop operations and refresh-interrupts. Therefore, the proposed memory BIST has a simple hardware structure compared to conventional memory BIST schemes. The proposed memory BIST is a practical test solution for reducing the overall test cost for the mass production of commodity DDRx SDRAMs.

• Journal of Korea Society of Industrial Information Systems
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• v.18 no.5
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• pp.9-14
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• 2013

This paper is designed frequency multiplier with low phase noise using DLL technique. The VCDL is designed using a differential structure to reduce common-mode noise. The proposed frequency multiplier is fabricated in a 65nm, 1.2V TSMC CMOS process, and the operating frequency range from 10MHz to 24MHz was measured. The SSB phase noise is measured to be -125dBc/Hz at 1MHz from 38.4MHz carrier. A total area of $0.032mm^2$were consumed in the chip, including the output buffer. Total current is 1.8mA at 1.2V supply voltage.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.39 no.4
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• pp.36-42
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• 2002

In this paper, we proposed a multiplicative algorithm for two polynomials with all non-zero coefficients over finite field GF($P^m$). Using the proposed multiplicative algorithm, we constructed the multiplier of modular architecture with parallel in-output. The proposed multiplier is composed of $(m+1)^2$ identical cells, each cell consists of one mod(p) additional gate and one mod(p) multiplicative gate. Proposed multiplier need one mod(p) multiplicative gate delay time and m mod(p) additional gate delay time not clock. Also, our architecture is regular and possesses the property of modularity, therefore well-suited for VLSI implementation.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.21 no.8
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• pp.1471-1479
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• 2017

This paper describes a design of RSA public-key cryptography processor supporting key length of 2,048 bits. A modular multiplier that is core arithmetic function in RSA cryptography was designed using word-based Montgomery multiplication algorithm, and a modular exponentiation was implemented by using Left-to-Right (LR) binary exponentiation algorithm. A computation of a modular multiplication takes 8,386 clock cycles, and RSA encryption and decryption requires 185,724 and 25,561,076 clock cycles, respectively. The RSA processor was verified by FPGA implementation using Virtex5 device. The RSA cryptographic processor synthesized with 100 MHz clock frequency using a 0.18 um CMOS cell library occupies 12,540 gate equivalents (GEs) and 12 kbits memory. It was estimated that the RSA processor can operate up to 165 MHz, and the estimated time for RSA encryption and decryption operations are 1.12 ms and 154.91 ms, respectively.

• Journal of Advanced Navigation Technology
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• v.7 no.2
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• pp.141-148
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• 2003

This paper presents and compares several techniques that detect the symbol rate of unknown received signal. Symbol rate is detected from the power spectral density of the circuits such as the delay and multiplier circuit, the square law circuit, and analytic signal, etc. As a result of discrete Fourier transform of the output signals of these circuits, a lot of spectral lines and some peaks appear in frequency domain and the position of first peak is corresponding to the symbol rate. If a spectral line on the frequency that is not located in symbol rate is larger than the first peak, the symbol rate is erroneously detected. Thus, the ratio between the value of first peak and the highest side spectral line is used for the measure of the performance of symbol rate detector. For the MPSK modulation, the analytic signal method shows better performance than the delay and multiplier and square law circuits when the received signal power is lager than -20dB. It is also noted that the delay and multiplier circuit is not able to detect the symbol rate for the QAM modulation.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.43 no.3 s.345
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• pp.40-47
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• 2006

The finite-field multiplication can be applied to the elliptic curve cryptosystems. However, an efficient algorithm and the hardware design are required since the finite-field multiplication takes much time to compute. In this paper, we propose a radix-4 systolic multiplier on $GF(2^m)$ with comparative area and performance. The algorithm of the proposed standard-basis multiplier is mathematically developed to map on low-cost systolic cells, so that the proposed systolic architecture is suitable for VLSI design. Compared to the bit-parallel, bit-serial and systolic multipliers, the proposed multiplier has relatively effective high performance and low cost. We design and synthesis $GF(2^{193})$ finite-field multiplier using Hynix $0.35{\mu}m$ standard cell library and the maximum clock frequency is 400MHz.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.13 no.3
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• pp.27-34
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• 2003

Recently, an efficient hardware development for a cryptosystem is concerned. The efficiency of a multiplier for GF($2^n$)is directly related to the efficiency of some cryptosystem. This paper, considering the trade-off between time complexity andsize complexity, proposes a new multiplier architecture having n[n/2] AND gates and n([n/2]+1)- $$\Delta$_n$ = XOR gates, where $$\Delta$_n$=1 if n is even, $$\Delta$_n$=0 otherwise. This size complexity is less than that of existing ${multipliers}^{[5][12]}$which are $n^2$ AND gates and $n^2$-1 XOR gates. While a new multiplier is a serial-parallel multiplier to output a result of multiplication of two elements of GF($2^n$) after 2 clock cycles, the suggested multiplier is more suitable for some cryptographic device having space limitations.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.29 no.8C
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• pp.1047-1054
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• 2004

In this paper, we present two systolic arrays for computing multiplications in CF(2$\^$m/) generated by an irreducible all one polynomial (AOP). The proposed two systolic mays have parallel-in parallel-out structure. The first systolic multiplier has area complexity of O(㎡) and time complexity of O(1). In other words, the multiplier consists of m(m+1)/2 identical cells and produces multiplication results at a rate of one every 1 clock cycle, after an initial delay of m/2+1 cycles. Compared with the previously proposed related multiplier using AOP, our design has 12 percent reduced hardware complexity and 50 percent reduced computation delay time. The other systolic multiplier, designed for cryptographic applications, has area complexity of O(m) and time complexity of O(m), i.e., it is composed of m+1 identical cells and produces multiplication results at a rate of one every m/2+1 clock cycles. Compared with other linear systolic multipliers, we find that our design has at least 43 percent reduced hardware complexity, 83 percent reduced computation delay time, and has twice higher throughput rate Furthermore, since the proposed two architectures have a high regularity and modularity, they are well suited to VLSI implementations. Therefore, when the proposed architectures are used for GF(2$\^$m/) applications, one can achieve maximum throughput performance with least hardware requirements.

• 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.

• Proceedings of the IEEK Conference
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• 2000.07b
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• pp.711-714
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• 2000

In this paper, we propose a high-speed multiplier-free realization using ROM’s to store the results of coefficient scalings in Combination With higher signal rate and pipelined operations. We show that hardware multipliers are not needed. By varying some parameters, the proposed structure provides various combinations of hardware and clock speed (or through-put). An example is given comparing the proposed realization with the distributed arithmetic (DA) realization. Results show that With Proper Choices of the Parameters the proposed structure achieves a faster processing speed with less hardware, as compared to the DA realization.