• Journal of the Korea Institute of Information Security & Cryptology
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• v.31 no.3
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• pp.533-544
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• 2021

Using Shor algorithm, factoring and discrete logarithm problem can be solved effectively. The public key cryptography, such as RSA and ECC, based on factoring and discrete logarithm problem can be broken in polynomial time using Shor algorithm. NIST has been conducting a PQC(Post Quantum Cryptography) standardization process to select quantum-resistant public key cryptography. The multivariate quadratic based signature scheme, which is one of the PQC candidates, is suitable for IoT devices with limited resources due to its short signature and fast sign and verify process. We analyzes classic attacks and quantum attacks for Rainbow which is the only multivatiate quadratic based signature scheme to be finalized up to the round 3. Also we compute the attack complexity for the round 3 Rainbow parameters, and analyzes the security level of Rainbow, one of the PQC standardization candidates.

• Journal of the Korean Society of Clothing and Textiles
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• v.23 no.4
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• pp.541-550
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• 1999

The purpose of this study is to find out the factors that explain the sense of touch and preference of man-made leather. Date base of descriptors for man-made leather was collected by interviewing 50 consumers, 33 different kinds of commercial man-made leathers(synthetic leather and artificial leather) were assessed subjectively by 605 consumers using the 9-point scale of 34 pairs of bipolar descriptors based on the data base. Subjective ratings were analyzed by principal axis factoring with varimax rota-tion. The sense of touch of man-made leather is explained by five factors ; surface property stretchiness thickness& weight thermal property(warmth & coolness) and moisture property (sticky & clingy). The difference in the sense of touch of man-made leathers is mainly attributable to surface property and stretchiness. And the preference of man-made leathers is mainly attributable to surface property and stretchiness. And the preference of man-made leather is explained by three factors ; surface property stretchiness and quality. Higher preference is found in man-mad leather of better quality touch and softness.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.10 no.6
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• pp.2835-2850
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• 2016

RSA is a public key cryptosystem that is currently the most popularly used in information security. Development of RSA variants has attracted many researchers since its introduction in 1978 by Ron Rivest, Adi Shamir, and Leonard Adleman. In this paper, we propose an algebraic structure for RSA and show that the proposed structure covers all known RSA variants. The usefulness of the proposed structure is then proved by showing that, following the structure we can construct a RSA variant based on the Bergman ring. We compare the original RSA and its variants from the point of view of factoring the modulus to determine why the original RSA is widely used than its variants.

• Proceedings of the Korean Statistical Society Conference
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• 2004.11a
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• pp.1-8
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• 2004

We address the problem of parameter estimation in multivariate distributions under ignorable non-monotone missing data. The factoring likelihood method for monotone missing data, termed by Robin (1974), is extended to a more general case of non-monotone missing data. The proposed method is algebraically equivalent to the Newton-Raphson method for the observed likelihood, but avoids the burden of computing the first and the second partial derivatives of the observed likelihood Instead, the maximum likelihood estimates and their information matrices for each partition of the data set are computed separately and combined naturally using the generalized least squares method. A numerical example is also presented to illustrate the method.

• Journal for History of Mathematics
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• v.16 no.3
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• pp.101-108
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• 2003

The RSA cryptosystem is most commonly used for providing privacy and ensuring authenticity of digital data. 1'his system is based on the difficulty of integer factoring. Many attacks had been done, but none of them devastating. They mostly illustrate the dangers of improper use of RSA. Improper use implies many aspects, but here we imply the misuse of the parameters of RSA. Specially, sizes of parameters give strong effects on the efficiency and the security of the system. Parameters are also related each other. We analyze the relation of them. Recently many researchers are interested in side-channel attacks. We also investigate partial key exposure attacks, which was motivated by side-channel attacks. If a fraction of tile secret key bits is revealed, the private key will be reconstructed. We also study mathematical background of these attacks, solving modular multivariate polynomial equations.

• Proceedings of the Korea Information Processing Society Conference
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• 2003.11a
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• pp.165-168
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• 2003

네트워크 시스템이 발달하면서 다양한 컴퓨터들을 연결하는 클러스터링 시스템 구축이 용이해졌다. 이러한 이기종 클러스터 환경을 구축함에 있어서 노드들간의 성능 분균형으로 인한 문제가 야기되는데 본 논문에서는 Message Passing 방식을 이용한 클러스터링을 구축함에 있어서 노드들의 자원의 정보를 이용하여 메모리의 과부하를 최대한 예방하여 작업을 메모리 여유가 있는 노드로 이주시킴으로써 시스템 안정성과 자원을 균등하게 사용할 수 있도록 제안하였다. 제안한 알고리즘을 구현하기 위해서 이기종 클러스터 환경에서 MPI를 이용하여 2차원 열에너지 전도 계산과 Matrix 곱셈 프로그램을 이용하여 제안한 알고리즘과 GSS, Send 알고리즘, Weighted Factoring알고리즘들과 상대 비교를 하였다.

• Journal of the Korean Operations Research and Management Science Society
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• v.14 no.1
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• pp.88-96
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• 1989

General measure in the reliability is the k-terminal reliability, which is the probability that the specified vertices are connected by the working edges. To compute the k-terminal reliability components are usually assumed to be statistically independent. In this study the modeling and analysis of the k-terminal reliability are investigated when dependency among components is considered. As the size of the network increases, the number of the joint probability parameter to represent the dependency among components is increasing exponentially. To avoid such a difficulty the structured-event-based-reliability model (SERM) is presented. This model uses the combination of the network topology (physical representation) and reliability block diagram (logical representation). This enables us to represent the dependency among components in a network form. Computational algorithms for the k-terminal reliability in SERM are based on the factoring algorithm Two features of the ractoring algorithm are the reliability preserving reduction and the privoting edge selection strategy. The pivoting edge selction strategy is modified by two different ways to tackle the replicated edges occuring in SERM. Two algorithms are presented according to each modified pivoting strategy and illustrated by numerical example.

• The Journal of the Korea institute of electronic communication sciences
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• v.7 no.3
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• pp.545-551
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• 2012

In this paper, we propose a new cryptosystem based on the IQC depended on the complexity of class number and intractibility of factoring integer, and introduce two algorithm which reduce encryption and decryption times. To recognize the security of the cryptosystem, we take a simple example to analyze the complexities of public key and secret key and then introduce the operating process of the cryptosystem.

• The Journal of Korean Association of Computer Education
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• v.15 no.1
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• pp.65-72
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• 2012

Generally, a logic function has many factored forms. The problem of finding more compact factored form is one of the basic operations in logic synthesis. In this paper, we present a new method for factoring Boolean functions to assist in educational logic designs. Our method for factorization is to implement two-cube Boolean division with supports of an expression. The number of literals in a factored form is a good estimate of the complexity of a logic function. Our empirical evaluation shows the improvements in literal counts over previous other factorization methods.

• Journal of the Korean Institute of Telematics and Electronics A
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• v.31A no.2
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• pp.125-134
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• 1994

This paper proposes a new top-down technology mapping algorithm for minimizing the chip area and the path delay time of lookup table-based field programmable gate array(FPGA). First, we present the decomposition and factoring algorithm using common subexpre ssion which minimizes the number of basic logic blocks and levels instead of the number of literals. Secondly, we propose a cube packing algorithm considering the decomposition of gates which exceed m-input lookup table. Previous approaches perform the cube packing and the gate decomposition independently, and it causes to increase the number of basic logic blocks. Lastly, the efficiency.