• KSII Transactions on Internet and Information Systems (TIIS)
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• v.7 no.3
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• pp.509-521
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• 2013

Impossible Differential Cryptanalysis (IDC) uses impossible differentials to discard wrong subkeys for the first or the last several rounds of block ciphers. Thus, the security of a block cipher against IDC can be evaluated by impossible differentials. This paper studies impossible differentials for Rijndael-like and 3D-like ciphers, we introduce methods to find 4-round impossible differentials of Rijndael-like ciphers and 6-round impossible differentials of 3D-like ciphers. Using our methods, various new impossible differentials of Rijndael and 3D could be searched out.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.13-18
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• 1999

In this paper, we compute a basis of the space of meromorphic differentials on a Riemann surface, holomorphic away from two fixed points. This basis consists of the differentials which have the expected zero or pole order at the two fixed points.

• International Commerce and Information Review
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• v.8 no.2
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• pp.299-312
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• 2006

This study examines the relations among wage differentials, trade, and productivity in Korea, using the methodology of Granger causality and vector error correction modelling. Cointegration test results over the 1975-2004 period indicate that all the test variables are cointegrated. Therefore, wage differentials, trade, and productivity are all related in the long run. We found some evidence on long-run relationship, while there is no short-run relationship between three test variables. First, trade and wage differentials have positively and bi-directionally Granger causality in the long-run. Second, productivity Granger causes negatively wage differentials in the long-run. Finally, productivity Granger causes positively trade in the long-run. These results explain partially the current theoretical predictions for wage inequality as well as supports the productivity-led growth hypothesis in the Korean economy.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.28 no.1
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• pp.15-24
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• 2018

In this paper, we explain a method of appproximating the differentials probability using a SAT solver. It is possible to increase the probability by constructing the differential characteristic which already known to differentials with a SAT solver. We apply our method to SPECK32 and SPECK48. As a result, we introduced a SPECK32's 10-round differentials with a probability of$2^{-30.39}$, and SPECK48's 12-round differentials with probability of $2^{-46.8}$. Both differentials are new and longer round and higher probability than previous ones. Using the differentials presented in this paper, we improved attacks of SPECK32/64 to 15 round, SPECK48/72 to 16 round, SPECK48/96 to 17 round, which attack 1 more rounds of previous works.

• Journal of the Korean Mathematical Society
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• v.35 no.1
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• pp.127-134
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• 1998

It is proved [6] that there exists a basis of $L^\Gamma$ (the space of meromorphic vector fields on a Riemann surface, holomorphic away from two fixed points) represented by the vector fields which have the expected zero or pole order at the two points. In this paper, we carry out the same task for the quadratic differentials. More precisely, we compute a basis of $Q^\Gamma$ (the sapce of meromorphic quadratic differentials on a Riemann surface, holomorphic away from two fixed points). This basis consists of the quadratic differentials which have the expected zero or pole order at the two points. Furthermore, we show that $Q^\Gamma$ has a Lie algebra structure which is induced from the Krichever-Novikov algebra $L^\Gamma$.

• ETRI Journal
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• v.36 no.6
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• pp.1032-1040
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• 2014

The Lai-Massey scheme, proposed by Vaudenay, is a modified structure in the International Data Encryption Algorithm cipher. A family of block ciphers, named FOX, were built on the Lai-Massey scheme. Impossible differential cryptanalysis is a powerful technique used to recover the secret key of block ciphers. This paper studies the impossible differential cryptanalysis of the Lai-Massey scheme with affine orthomorphism for the first time. Firstly, we prove that there always exist 4-round impossible differentials of a Lai-Massey cipher having a bijective F-function. Such 4-round impossible differentials can be used to help find 4-round impossible differentials of FOX64 and FOX128. Moreover, we give some sufficient conditions to characterize the existence of 5-, 6-, and 7-round impossible differentials of Lai-Massey ciphers having a substitution-permutation (SP) F-function, and we observe that if Lai-Massey ciphers having an SP F-function use the same diffusion layer and orthomorphism as a FOX64, then there are indeed 5- and 6-round impossible differentials. These results indicate that both the diffusion layer and orthomorphism should be chosen carefully so as to make the Lai-Massey cipher secure against impossible differential cryptanalysis.

• Fire Science and Engineering
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• v.24 no.2
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• pp.97-105
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• 2010

The smoke control systems using pressure differentials are already well known as the most reliable method to prevent the smoke infiltration into the emergency stairs or safe spaces. However, it is true that many problems are domestically pointed out due to the insufficient understanding and technology on the smoke control systems using pressure differentials. In this regard, this work analyzed the effect of major factors for smoke control system using pressure differentials such as a duct area, opening area of air supply damper, improvement on open vestibules, stack effect and location of air supply. In conclusion, adequate pressure differentials can not be maintained in small duct because the smaller duct area have the large friction loss. Especially, It is confirmed that the major factor for deterioration of smoke control system performance is stack effect that makes pressure differentials smaller in the lower floors.

• Honam Mathematical Journal
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• v.39 no.2
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• pp.307-315
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• 2017

In this paper, we aim to compare the differentials with the regularity of the hypercomplex valued functions in Clifford analysis. For three kinds of conjugation of the bicomplex numbers, we define the differentials of the bicomplex number functions by the naive approach. And we investigate some relations of the corresponding Cauchy-Riemann system and the conditions of the differentiable functions in the bicomplex number system.

• Journal of Labour Economics
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• v.32 no.3
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• pp.1-26
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• 2009

Using panel data from the Korean Labor and Income Panel Study(KLlPS), we examine the wage differentials between standard and Don-standard workers. To control for unobserved individual heterogeneities, we estimate the fixed effect models. Our results show that the OLS estimates are upwardly biased. We also find that labor unions and firm size are important determinants of the wage differentials.

• Journal of the Korean Regional Science Association
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• v.32 no.2
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• pp.45-59
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• 2016

The purpose of this study is to analyze the static and dynamic change of wage differentials of women with disabilities in the Seoul local labor market. This study attempts to explain the double discrimination mechanism for disabled women and empirically gender discrimination and disability discrimination for them by using Oaxaca-Blinder decomposition analysis. In addition, using Juhn-Murphy-Pierce decomposition analysis. we analyze the wage differentials caused by the changed characteristics of disabled women and structures of discrimination at the Seoul local labor market. Data from the Panel Survey of Employment for the Disabled and Korean Labor and Income Panel Study for two years (2008, 2012) are used. According to the result, wage differentials of disabled women caused by disability discrimination is approximately 55% of total wage discrimination, whereas 45% is caused by gender discrimination during the period. Both observed and unobserved components move in the same direction to narrow wage differentials due to the disability discrimination and gender discrimination. Also the endowments in the Seoul local labor market about the changes of observed and unobserved components contribute more to narrow gender wage differentials, while these endowments widen disability wage differentials.