• Journal of the Institute of Electronics Engineers of Korea CI
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• v.40 no.6
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• pp.1-8
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• 2003

A novel CORDIC circuit is presented based on a redundant number system eliminating global carry Propagation. The number format employs a new recoding scheme similar to the Booth receding resolving carry problems in addition. A pipelined architecture is introduced having a constant scale factor in its computation of trigonometric functions. The operational time of the circuit is constant independent of the number of operand digits.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.38C no.7
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• pp.605-611
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• 2013

If an accident vehicle propagates emergency messages to other vehicles close to it, the other drivers may realize and avoid the accident spot. In this letter, we propose a broadcast scheme to propagate emergency messages fast in urban VANETs (Vehicular Ad-Hoc Networks) with the help of GPS (Global Position System). In our scheme, a transmitting vehicle chooses the farthest node as the next relay vehicle to propagate emergency messages. And, we suggest an algorithm for intersection recognition and SCF (Store-Carry-Forward) task by taking advantage of periodic hello packets to reduce the propagation time and enhance the delivery ratio.

• The Transactions of the Korea Information Processing Society
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• v.2 no.6
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• pp.969-973
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• 1995

In this paper, a new parallel Multiplier array is proposed to reduce the multiplication time by modifying CAS(carry select adder) cell structure used in the conventional parallel multiplier array. It is named MCSA(modified CSA) that assignes the addend and augend to the inputs of CSA faster than Ci(carry input). Also the designed DCSA (doubled inverted input CSA) is appended after the last product term for the carry propagation adder. The proposed scheme is designed with MCSA and DCSA, and simulated. It is verified that the circuit size is increased about 13% compared with the conventional multiplier array with CSA cell but the operation time is reduced about 52%.

• Journal of the Korean Institute of Telematics and Electronics C
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• v.34C no.10
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• pp.27-35
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• 1997

In this paper, we propose a new scheme for the generation of partial products for VLSI fast parallel multiplier. It adopts a new encoding method which halves the number of partial products using 2x2 submultipliers and rearrangement of primitive partial products. The true 4-input CSA can be achieved with appropriate rearrangement of primitive partial products out of 2x2 submultipliers using the newly proposed theorem on binary number system. A 16bit x 16bit multiplier has been desinged using the proposed method and simulated to prove that the method has comparable speed and area compared to booth's encoding method. Much smaller and faster multiplier could be obtained with far optimization. The proposed scheme can be easily extended to multipliers with inputs of higher resolutions.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.39 no.8
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• pp.34-41
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• 2002

This paper describes a scalable implementation method of a word-based RSA cryptoprocessor using pseudo carry look-ahead adder The basic organization of the modular multiplier consists of two layers of carry-save adders (CSA) and a reduced carry generation and Propagation scheme called the pseudo carry look-ahead adder for the high-speed final addition. The proposed modular multiplier does not need complicated shift and alignment blocks to generate the next word at each clock cycle. Therefore, the proposed architecture reduces the hardware resources and speeds up the modular computation. We implemented a single-chip 1024-bit RSA cryptoprocessor based on the word-based modular multiplier with 256 datapaths in 0.5${\mu}{\textrm}{m}$ SOG technology after verifying the proposed architectures using FPGA with PCI bus.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.13 no.4
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• pp.139-149
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• 2003

In this paper a hardware design of area-efficient hash processor which implements MD5 algorithm using hardware sharing and carry-save addition schemes is described. To reduce area, the processor adopts hardware sharing scheme in which 1 step operation is divided into 2 substeps and then each substep is executed using the same hardware. Also to increase clock frequency, three serial additions of substep operation are transformed into two carry-save additions and one carry propagation addition. The MD5 hash processor is designed using 0.25 $\mu\textrm{m}$CMOS technology and consists of about 13,000 gates. From timing simulation results, the designed MD5 hash processor has 465 Mbps hash rates for 512-bit input message data under 120 MHz operating frequency.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.12 no.2
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• pp.35-44
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• 2002

In this paper, an implementation method of RSA exponentiator based on Radix-$2^k$ modular multiplication algorithm is presented and verified. We use Booth receding algorithm to implement Radix-$2^k$ modular multiplication and implement radix-16 modular multiplier using 2K-byte memory and CSA(carry-save adder) array - with two full adder and three half adder delays. For high speed final addition we use a reduced carry generation and propagation scheme called pseudo carry look-ahead adder. Furthermore, the optimum value of the radix is presented through the trade-off between the operating frequency and the throughput for given Silicon technology. We have verified 1,024-bit RSA processor using Altera FPGA EP2K1500E device and Samsung 0.3$\mu\textrm{m}$ technology. In case of the radix-16 modular multiplication algorithm, (n+4+1)/4 clock cycles are needed and the 1,024-bit modular exponentiation is performed in 5.38ms at 50MHz.

• Journal of KIISE:Computer Systems and Theory
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• v.34 no.8
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• pp.327-336
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• 2007

Lots of effort toward design optimizations have been paid for a cost-effective system design in various ways from a transistor level to RTL designs. In this paper, we propose a bit level optimization of an adder design for expanding its design space. For the bit-level optimization, a heterogeneous adder organization utilizing a mixture of carry propagation schemes is proposed to design a delay-area efficient adder which were not available in an ordinary design space. Then, we develop an optimization method based on Integer Linear Programming to search the expanded design space of the heterogeneous adder. The novelty of the Proposed architecture and optimization method is introducing a bit level reconstruction/recombination of IPs which have same functionality but different speed and area characteristics for producing more find-grained delay-area optimization.

• Proceedings of the IEEK Conference
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• 2001.06b
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• pp.365-368
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• 2001

This paper described a design and implementation of the division/square-root for a redundant floating point binary number using high-speed quotient selector. This division/square-root used the method of a redundant binary addition with 25MHz clock speed. The addition of two numbers can be performed in a constant time independent of the word length since carry propagation can be eliminated. We have developed a 16-bit VLSI circuit for division and square-root operations used extensively in each iterative step. It peformed the division and square-root by a redundant binary addition to the shifted binary number every 16 cycles. Also the circuit uses the nonrestoring method to obtain a quotient. The quotient selection logic used a leading three digits of partial remainders in order to be implemented in a simple circuit. As a result, the performance of the proposed scheme is further enhanced in the speed of operation process by applying new quotient selection addition logic which can be parallelly process the quotient decision field. It showed the speed-up of 13% faster than previously presented schemes used the same algorithms.

• Proceedings of the Korean Information Science Society Conference
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• 2006.06a
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• pp.319-321
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• 2006

본 논문에서는 다양한 캐리 전달 방식(carry propagation scheme)이 단일 가산기 설계를 위하여 복합적으로 사용되는 가산기 구조물 제안하며. 이를 통하여 보다 향상된 delay-area trade-off 점들을 갖는 설계공간을 생성한다. 제안된 구조의 가산기는 각기 다른 캐리전달 방식의 하부 가산기 블록들을 캐리 입/출력 신호를 선형으로 연결한 구조이며, 기존의 단일 캐리전달 방식의 가산기와 달리, 다양한 delay-area trade-off 특성을 갖는 여러 종류의 캐리전달 방식을 비트 수준에서 조합하여 사용함으로써 보다 섬세한 delay-area 설계공간을 생성해낼 수 있다. 그러나, 제안된 가산기 구조의 설계공간은 다양한 캐리전달 방식이 비트 수준에서 할당되므로, 할당가능한 설계 조합은 설계하고자 하는 가산기의 비트 폭과 고려하는 캐리전달 방식의 수에 비례하여 폭발적으로 증가하게 된다. 따라서, 제안된 가산기의 효율적이며, 자동화된 설계공간 탐색 방범이 요구된다. 본 논문에서는 이를 해결하기 위하여 정수 선형 프로그래밍 (Integer Linear Programming, ILP) 방법을 이용하여 제안한 가산기의 최적화 문제를 형식화함으로써 효과적인 설계공간의 탐색 방법을 제안하였다.