• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.6
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• pp.1212-1217
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• 2004

The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication, which is performed in the upper level of GF multiplication and GF division, has been the double-and-add algorithm, which is recently challenged by NAF(Non-Adjacent Format) algorithm. In this paper, we propose a more efficient and novel scalar multiplication method than existing double-and-add by applying redundant receding which originates from radix-4 Booth's algorithm. After deriving the novel quad-and-add algorithm, we created a new operation, named point quadruple, and verified with real application calculation to utilize it. Derived numerical expressions were verified using both C programs and HDL (Hardware Description Language) in real applications. Proposed method of elliptic curve scalar point multiplication can be utilized in many elliptic curve security applications for handling efficient and fast calculations.

• Journal of KIISE:Databases
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• v.29 no.4
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• pp.262-273
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• 2002

MOLAP is a technology that accelerates multidimensional data analysis by storing data in a multidimensional array and accessing them using their position information. Depending on a mapping scheme of a multidimensional array onto disk, the sliced of MOLAP operations such as slice and dice varies significantly. [1] proposed a MOLAP cube storage scheme that divides a cube into small chunks with equal side length, compresses sparse chunks, and stores the chunks in row-major order of their chunk indexes. This type of cube storage scheme gives a fair chance to all dimensions of the input data. Here, we developed a variant of their cube storage scheme by placing chunks in a different order. Our scheme accelerates slice and dice operations by aligning chunks to physical disk block boundaries and clustering neighboring chunks. Z-indexing is used for chunk clustering. The efficiency of the proposed scheme is evaluated through experiments. We showed that the proposed scheme is efficient for 3~5 dimensional cubes that are frequently used to analyze business data.

• Journal of the Korean Society of Propulsion Engineers
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• v.22 no.5
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• pp.40-48
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• 2018

This paper presents a simulation-based design reliability estimation method of a low-energy exploding foil initiator (LEEFI) using a meta-model and describes the design reliability estimation results. The flyer velocity of the LEEFI is critical to initiate the explosive. Evaluation of the flyer velocity from mechanistic models in open literature requires a long computation time due to the multi-physical phenomena that generate the velocity. Moreover, the higher levels of confidence required for an initiator with high reliability incur higher computation costs. Thus, a meta-model of the flyer velocity over time was constructed in order to increase the computational efficiency for a reliable estimation. For different distributions and sigma levels of the design variables, the design reliability estimation results using the meta-model are provided. Additionally, the computational efficiency and accuracy of the estimation method are analyzed.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.34 no.3
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• pp.151-157
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• 2021

This paper is devoted to a convergence study of the nonlocal integral operator in peridynamics. The implicit formulation can be an efficient approach to obtain the static/quasi-static solution of crack propagation problems. Implicit methods require constly large-matrix operations. Therefore, convergence is important for improving computational efficiency. When the radial influence function is utilized in the nonlocal integral equation, the fractional Laplacian integral equation is obtained. It has been mathematically proved that the condition number of the system matrix is affected by the order of the radial influence function and nonlocal horizon size. We formulate the static crack problem with peridynamics and utilize Newton-Raphson methods with a preconditioned conjugate gradient scheme to solve this nonlinear stationary system. The convergence behavior and the computational time for solving the implicit algebraic system have been studied with respect to the order of the radial influence function and nonlocal horizon size.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.12 no.5
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• pp.95-105
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• 2002

This paper describes an efficient method to implement a hardware circuit of RSA public key cryptographic algorithm, which is important to public-key cryptographic system for an authentication, a key exchange and a digital signature. The RSA algorithm needs a modular exponential for its cryptographic operation, and the modular exponential operation is consists of repeated modular multiplication. In a numerous algorithm to compute a modular multiplication, the Montgomery algorithm is one of the most widely used algorithms for its conspicuous efficiency on hardware implementation. Over the past a few decades a considerable number of studies have been conducted on the efficient hardware design of modular multiplication for RSA cryptographic system. But many of those studies focused on the decrease of operating time for its higher performance. The most important thing to design a hardware circuit, which has a limit on a circuit area, is a trade off between a small circuit area and a feasible operating time. For these reasons, we modified the Montgomery algorithm for its efficient hardware structure for a system having a limit in its circuit area and implemented the refined algorithm in the IESA system developed for ETRI's smart card emulating system.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.21 no.6
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• pp.3-12
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• 2011

A hashing function that maps arbitrary messages directly onto curve points (MapToPoint) has non-negligible complexity in pairing-based cryptosystems. Unlike elliptic curve cryptosystems, pairing-based cryptosystems require the hashing function in ternary fields. Barreto et al. observed that it is more advantageous to hash the message to an ordinate instead of an abscissa. So, they significantly improved the hashing function by using a matrix with coefficients of the abscissa. In this paper, we improve the method of Barreto et al. by reducing the matrix. Our method requires only 44% memory of the previous result. Moreover we can hash a message onto a curve point 2~3 times faster than Barreto's Method.

• Journal of IKEEE
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• v.28 no.1
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• pp.53-64
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• 2024

With the advancement of NLP(Natural Language Processing) models, conversational AI such as ChatGPT is becoming increasingly popular. To enhance processing speed and reduce power consumption, it is important to implement the Transformer algorithm, which forms the basis of the latest natural language processing models, in hardware. In particular, the multi-head attention and feed-forward network, which analyze the relationships between different words in a sentence through matrix multiplication, are the most computationally intensive core algorithms in the Transformer. In this paper, we propose a new variable systolic array based on the number of input words to enhance matrix multiplication speed. Quantization maintains Transformer accuracy, boosting memory efficiency and speed. For evaluation purposes, this paper verifies the clock cycles required in multi-head attention and feed-forward network and compares the performance with other multipliers.

• Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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• 2002.11a
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• pp.106-109
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• 2002

무선 통신의 발달로 무선 단말기 상에서 서명 생성 및 검증과 메시지의 암호화와 복호화 등의 연산의 필요성이 대두되었다. 하지만, 무선 통신이라는 특성상 적은 메모리 용량을 사용해서 빠른 연산을 수행하고, 적은 통신량을 보장해야 한다. 이러한 무선 단말기의 제약사항은 서명과 암호화를 함께 하는 Signcryption 개념과 ECC 기반의 연산을 수행하여 해결할 수 있다. 또한 네트워크상에서의 정보보안을 위해 설치된 방화벽을 통과하기 위해서는 서명의 검증이 필요한데, 서명된 메시지를 암호화 해서 보낼 경우 서명 검증시 수신자의 비밀키가 있어야 메시지를 복원해서 서명을 검증할 수 있기 때문에 이 점을 보완하기 위해 본 논문에서는 서명 검증시에 평문이 필요없는 ECC 기반의 signcryption 방식을 제안한다.

• Proceedings of the Korean Information Science Society Conference
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• 2004.10b
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• pp.163-165
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• 2004

여러 장점을 가지고 점차 그 사용이 증가하고 있는 XML은 내용뿐만 아니라 그 구조적 정보까지 포함하고 있는 특징을 가지고 있는데, 이러한 XML 문서를 효율적으로 검색하기 위해 구조 유사성을 기반으로 하는 검색 기법이 개발되고 있다. 새롭게 개발되는 유사한 구조의 XML 문서를 검색하는 시스템의 성능 평가를 위해서는 구조적으로 유사한 다량의 XML 데이터가 필요하다. 본 논문에서는 지금까지 개발되었던 유사 구조 문서 생성기를 바탕으로 사용자가 원하는 데이터 구조를 생성하는데 보다 효과적인, 유사 구조를 갖는 XML 문서 생성기인 xTrans를 설계 및 구현한다. xTrans는 원본 XML 문서에 삽입, 삭제, 치환의 세 가지 연산을 이용하여 사용자가 원하는 일정한 비율만큼의 구조적 변화를 일으키는데, 그러한 연산은 불규칙한 위치에서 생성되므로, 같은 비율의 변화가 일어난 여러 개의 유사 구조 문서를 생성할 수 있다. 사용자는 각 연산의 변형 비율을 지정해주어 원하는 만큼 변형시킨 문서를 생성하고, 이 문서들을 이용하여 새롭게 개발되는 유사 구조 문서 검색 시스템의 성능평가에 활용할 수 있다.

• Proceedings of the Korean Information Science Society Conference
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• 2005.11a
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• pp.757-759
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• 2005

일반적인 렌더링 방식은 응용$\rightarrow$기하$\rightarrow$래스터화로 진행되는 렌더링 파이프라인 상에서 진행된다. 그래픽 카드의 발전으로 기하 단계의 연산을 GPU가 담당함에 따라 CPU의 연산을 줄여 CPU가 많은 연산을 할 수 있게 되었다. 그러나 이 같은 분배로 인해 CPU와 GPU가 서로 끝나기를 기다리는 병목현상이 발생하게 되었다. 이러한 병목 현상은 효율적인 렌더링을 저해하는 요인이다. 본 연구의 목적은 CPU와 GPU의 병렬처리 과정에서 발생하는 병목현상을 줄여 실시간 렌더링에서 그래픽 출력을 더욱 빠르게 하는데 있다. 이를 위해 본 논문에서는 그래픽 출력 과정 중 CPU 와 GPU 사이에서 하드웨어적으로 처리되고 있는 동기적 처리 과정을 소프트웨어적인 기법을 이용하여 비동기적으로 처리함으로써 성능을 향상시킬 수 있음을 말하고자 한다.