• Journal of Korean Society of Industrial and Systems Engineering
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• v.36 no.4
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• pp.64-70
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• 2013

Estimation approaches for casual relation model with high-order factors have strict restrictions or limits. In the case of ML (Maximum Likelihood), a strong assumption which data must show a normal distribution is required and factors of exponentiation is impossible due to the uncertainty of factors. To overcome this limitation many PLS (Partial Least Squares) approaches are introduced to estimate the structural equation model including high-order factors. However, it is possible to yield biased estimates if there are some differences in the number of measurement variables connected to each latent variable. In addition, any approach does not exist to deal with general cases not having any measurement variable of high-order factors. This study compare several approaches including the repeated measures approach which are used to estimate the casual relation model including high-order factors by using PLS (Partial Least Squares), and suggest the best estimation approach. In other words, the study proposes the best approach through the research on the existing studies related to the casual relation model including high-order factors by using PLS and approach comparison using a virtual model.

• Journal of Korea Society of Industrial Information Systems
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• v.9 no.4
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• pp.41-46
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• 2004

This paper presents a new semi- systolic architecture for $AB^2$ operation. First of all the previous architecture proposed by Lee et al. is analysed and then we present a new algorithm and it's architecture for $AB^2$ operation based on AOP (all one polynomial) to solve the shortcomings in the architecture. Proposed architecture has an efficient configuration than other previous architectures. It is useful for implementing the exponentiation architecture, which is the core operation in public-key cryptosystems.

• Journal of Korea Society of Industrial Information Systems
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• v.10 no.3
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• pp.57-63
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• 2005

Kim and Fenn et al. proposed two modular AB multipliers based on LFSR(Linear Feedback Shift Register) architecture. These multipliers use AOP, which has all coefficients with '1', as an irreducible polynomial. Thereby, they have good hardware complexity compared to the previous architectures. This paper proposes a modular $AB^2$ multiplier based on LFSR architecture and a modular exponentiation architecture to improve the hardware complexity of the Kim's. Our multiplier also use the AOP as an irreducible polynomial as the Kim architecture. Simulation result shows that our multiplier reduces the hardware complexity about $50\%$ in the perspective of XOR and AND gates compared to the Kim's. The architecture could be used as a basic block to implement public-key cryptosystems.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.28 no.2
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• pp.327-338
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• 2018

On-line/off-line signature is a technique for performing heavy computations required for signature generation in the off-line stage and completing the final signature by a simple operation in the online stage. This is suitable for application environments that require immediate signing responses to multiple users. In this paper, we propose two new on-line/off-line signature schemes based on RSA problem. The first technique can generate a signature with a fixed base exponentiation when signing online, and the second technique can complete an online signature with a very simple calculation such as a hash operation. The security of both signatures is based on the RSA problem, which is proven to be tightly secure without security loss in the random oracle model.

• Journal of KIISE:Computer Systems and Theory
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• v.31 no.1_2
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• pp.112-117
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• 2004

In this paper, we propose a suitable multiplication architecture for cellular automata in a finite field $GF(2^m)$. Proposed least significant bit first multiplier is based on irreducible all one Polynomial, and has a latency of (m+1) and a critical path of $ 1-D_{AND}＋1-D{XOR}$.Specially it is efficient for implementing VLSI architecture and has potential for use as a basic architecture for division, exponentiation and inverses since it is a parallel structure with regularity and modularity. Moreover our architecture can be used as a basic architecture for well-known public-key information service in $GF(2^m)$ such as Diffie-Hellman key exchange protocol, Digital Signature Algorithm and ElGamal cryptosystem.

• Journal of KIISE:Computer Systems and Theory
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• v.33 no.4
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• pp.223-230
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• 2006

The method of implementing a modular multiplier for Montgomery multiplication by using an adder depends on a selected adder. When using a CPA, there is a carry propagation problem. When using a CSA, it needs an additional calculation for a final result. The Multiplier using a Multi-precision CSA can solve both problems simultaneously by combining a CSA and a CPA. This paper presents an improved MP-CSA which reduces hardware resources and operation time by changing a MP-CSA's carry chain structure. Consequently, the proposed multiplier is more suitable for the module of long bit multiplication and exponentiation using a modular multiplier repeatedly.

• IEMEK Journal of Embedded Systems and Applications
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• v.14 no.6
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• pp.313-319
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• 2019

Finite field operations have played an important role in error correcting codes and cryptosystems. Recently, the necessity of efficient computation processing is increasing for security in cyber physics systems. Therefore, efficient implementation of finite field arithmetics is more urgently needed. These operations include addition, multiplication, division and inversion. Addition is very simple and can be implemented with XOR operation. The others are somewhat more complicated than addition. Among these operations, multiplication is the most important, since time-consuming operations, such as exponentiation, division, and computing multiplicative inverse, can be performed through iterative multiplications. In this paper, we propose a multiplexer based parallel computation algorithm that performs Montgomery multiplication over finite field using redundant basis. Then we propose an efficient multiplexer based semi-systolic multiplier over finite field using redundant basis. The proposed multiplier has less area-time (AT) complexity than related multipliers. In detail, the AT complexity of the proposed multiplier is improved by approximately 19% and 65% compared to the multipliers of Kim-Han and Choi-Lee, respectively. Therefore, our multiplier is suitable for VLSI implementation and can be easily applied as the basic building block for various applications.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.11 no.2
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• pp.826-845
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• 2017

Outsourcing computation is one of the most important applications in cloud computing, and it has a huge ability to satisfy the demand of data centers. Modular exponentiation computation, broadly used in the cryptographic protocols, has been recognized as one of the most time-consuming calculation operations in cryptosystems. Previously, modular exponentiations can be securely outsourced by using two untrusted cloud servers. In this paper, we present two practical and secure outsourcing modular exponentiations schemes that support only one untrusted cloud server. Explicitly, we make the base and the index blind by putting them into a matrix before send to the cloud server. Our schemes provide better performance in higher efficiency and flexible checkability which support single cloud server. Additionally, there exists another advantage of our schemes that the schemes are proved to be secure and effective without any cryptographic assumptions.

• Journal of the Institute of Electronics Engineers of Korea SC
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• v.39 no.3
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• pp.211-219
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• 2002

In this paper, a new architecture that can simultaneously process modular multiplication and squaring on GF(2$^{m}$ ) in m clock cycles by using the cellular automata is presented. This can be used efficiently for the design of the modular exponentiation on the finite field which is the basic computation in most public key crypto systems such as Diffie-Hellman key exchange, EIGamal, etc. Also, the cellular automata architecture is simple, regular, modular, cascadable and therefore, can be utilized efficiently for the implementation of VLSI.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.15 no.12
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• pp.981-989
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• 1990

Thos paper summarized previously proposed several public key distribution systems and proposes a new public key distribution system to generate an common secret conference key for public key distribution systems three or more user. The now system is based on discrete exponentiation, that is all operations involve reduction modulo p for large prime p and we study some novel characteristics for computins multiplicative inverse in GF(p). We use one-way communication to distribute work keys, while the other uses two-way communication. The security of the new system is based on the difficulty of determining logarithms in a finite field GF(p) and stronger than Diffie-Hellman public key distribution system.