• Journal of the Korea Institute of Information Security & Cryptology
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• v.17 no.4
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• pp.89-95
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• 2007

There are various methods constructing correlation immune functions such as Siegenthaler's, Camion et al's and Seberry et al's. In particular, Soberry et al's is a method which directly constructs balanced correlation immune functions of any order using the theory of Hadamard matrices. In this paper, we have studied Seberry et al's method for constructing a correlation immune function on a higher dimensional space by combining known correlation immune functions on a lower dimensional space. Futhermore, we calculated the nonlinearity of functions which are constructed by combining of several correlation immune functions. That is, we have shown that the direct sum of two correlation immune functions and a combination of four correlation immune functions have higher nonlinearity in comparison with each functions. This functions in stream cipher are safe against correlation attacks.

• ETRI Journal
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• v.19 no.4
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• pp.389-401
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• 1997

In this paper, we consider the relationship between nonlinearity and correlation immunity of Boolean functions. In particular, we discuss the nonlinearity of correlation immune functions suggested by P. Camion et al. For the analysis of such functions, we present a simple method of generating the same set of functions, which makes it possible to construct correlation immune functions with controllable correlation immunity and nonlinearity. Also, we find a bound for the correlation immunity of functions having maximal nonlinearity.

• Biomedical Science Letters
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• v.28 no.1
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• pp.9-24
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• 2022

The aim of this study was to identify the expression of zinc finger E-box binding homeobox 1 (ZEB1), its prognostic significance, and correlation between ZEB1 and infiltrating immune cells in lung cancer. Correlation between ZEB1 and telomerase was also analyzed in different types of cancers. RNA sequencing analysis and survival rates of patients were confirmed by Gene Expression Profiling Interactive Analysis (GEPIA). The Kaplan-Meier plotter and PrognoScan databases were used to analyze the prognostic value of ZEB1 in various cancers. The Tumor IMmune Estimation Resource (TIMER) was used to determine the correlation between ZEB1 and infiltrating immune cells. Lower ZEB1 expression was lower in lung cancer and was related to poor prognosis in lung adenocarcinoma (LUAD). ZEB1 expression exhibited a significantly positive correlation with infiltration levels of immune cells in LUAD and lung squamous cell carcinoma. Furthermore, we found that the ZEB1 expression correlated with subunits of telomerase. Our findings suggest ZEB1 as a potential biomarker to be used for prognostic significance and tumor immunology in lung cancer. The correlation between the expression of ZEB1 and telomere-related gene will help in understand the cancer-promoting mechanisms.

• The Pure and Applied Mathematics
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• v.6 no.2
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• pp.79-86
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• 1999

A Boolean function generates a binary sequence which is frequently used in a stream cipher. There are number of critical concepts which a Boolean function, as a key stream generator in a stream cipher, satisfies. These are nonlinearity, correlation immunity, balancedness, SAC (strictly avalanche criterion), PC (propagation criterion) and so on. In this paper we construct an algorithm for finding the correlation immune order of a Boolean function, and check how long to find the correlation immune order of a given Boolean function in our algorithm.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.7 no.2
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• pp.3-10
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• 1997

Correlation immune functions can be used not only as filter functions or nonlinear combiners in stream ciphers but also as a primitive logic in block cipher. In this paper, we suggest a construction method of correlation immune functions. Using this method, we find lower and upper bound of the cardinality of the correlation immune functions. This result improves Mitchell's result and Yang-Guo's result.

• Journal of the Korean Society of Food Science and Nutrition
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• v.27 no.5
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• pp.920-927
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• 1998

The purpose of this study was to investigate the correlation between serum component and immune function in Korean female college students according to the body mass index. There were significant increased in weight, body fat, LBM, TBW, WHR in subjects as their BMI increase(p<0.001). It was found obese group had higher levels of serum components such as total cholesterol, LDL-cholesterol and Cu levels than those of the normal group. There was a significant positive correlation between HDL-cholesterol level and NK cell number(p<0.01), between A/G ratio and T lympocytes number(p<0.05), between Cu levels and B lympocytes(p<0.01) in normal group. There was a significant positive correlation between TG level and CD4/8 ratio(p<0.001), between and IgG(p<0.001) in obese group.

• IMMUNE NETWORK
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• v.12 no.4
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• pp.129-138
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• 2012

Allergic disorders such as atopic dermatitis and asthma are common hyper-immune disorders in industrialized countries. Along with genetic association, environmental factors and gut microbiota have been suggested as major triggering factors for the development of atopic dermatitis. Numerous studies support the association of hygiene hypothesis in allergic immune disorders that a lack of early childhood exposure to diverse microorganism increases susceptibility to allergic diseases. Among the symbiotic microorganisms (e.g. gut flora or probiotics), probiotics confer health benefits through multiple action mechanisms including modification of immune response in gut associated lymphoid tissue (GALT). Although many human clinical trials and mouse studies demonstrated the beneficial effects of probiotics in diverse immune disorders, this effect is strain specific and needs to apply specific probiotics for specific allergic diseases. Herein, we briefly review the diverse functions and regulation mechanisms of probiotics in diverse disorders.

• Korean Journal of Mathematics
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• v.28 no.2
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• pp.285-294
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• 2020

We study the complementary information set codes (for short, CIS codes) over 𝔽₄. They are strongly connected to correlation-immune functions over 𝔽₄. Also the class of CIS codes includes the self-dual codes. We find a construction method of CIS codes over 𝔽₄ and a criterion for checking equivalence of CIS codes over 𝔽₄. We complete the classification of all inequivalent CIS codes of length up to 8 over 𝔽₄.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.6 no.3
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• pp.11-22
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• 1996

In this paper, we consider the relationship between the nonlinearity and correlation immunity of functions suggested in [1], [3]. For the analysis of such functions, we present a simple method of generating the same set of functions, which makes us possible to construct correlation immune functions with controllable correlation immunity and nonlinearity.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.9 no.1
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• pp.127-134
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• 1999

Boolean functions have an important role for designing block ciphers and hash functions. In this paper, we propose a method for designing optimum correlation immune functions. We also analyze their cryptographic properties - balancedness, nonlinearity, correlation value to the set of linear functions, correlation immunity, propagation characteristic, and algebraic degree. Such functions are special type of Semi-bent functions [2,5]