• 한국멀티미디어학회논문지
• /
• 제20권2호
• /
• pp.289-297
• /
• 2017

When implementing a hardware elliptic curve cryptosystem (ECC) module, the efficient design of Modular Inverse (MI) algorithm is especially important since it requires much more computation than other finite field operations in ECC. Among the MI algorithms, binary Right-Shift modular inverse (RS) algorithm has good performance when implemented in hardware, but Montgomery Modular Inverse (MMI) algorithm is not considered in [1, 2]. Since MMI has a similar structure to that of RS, we show that the area-improvement idea that is applied to RS is applicable to MMI, and that we can improve the speed of MMI. We designed area- and speed-improved MMI variants as hardware modules and analyzed their performance.

• International Journal of Contents
• /
• 제3권2호
• /
• pp.40-43
• /
• 2007

This paper proposed a new modular inverse algorithm based on the right-shifting binary Euclidean algorithm. For an n-bit numbers, the number of operations for the proposed algorithm is reduced about 61.3% less than the classical binary extended Euclidean algorithm. The proposed algorithm implementation shows substantial reduction in computation time over Galois field GF(p).

• 전기전자학회논문지
• /
• 제24권3호
• /
• pp.901-908
• /
• 2020

몽고메리 모듈러 역원 연산을 확장 가능형 하드웨어로 구현하기 위한 방법에 대해 기술한다. 제안되는 확장 가능형 구조는 워드 (32-비트) 단위로 연산을 수행하는 처리요소의 1차원 배열 구조를 가지며, 사용되는 처리요소의 개수에 따라 성능과 하드웨어 크기를 조절할 수 있다. 설계된 확장 가능형 몽고메리 모듈러 역원기를 Spartan-6 FPGA 소자에 구현하여 하드웨어 동작을 검증하였다. 설계된 역원기를 180-nm CMOS 표준 셀로 합성한 결과, 사용되는 처리요소의 개수 1~10에 따라 동작 주파수는 167~131 MHz, 게이트 수는 60,000~91,000 GEs (gate equivalents)로 평가되었다. 256 비트 모듈러 역원 연산의 경우, 처리요소의 개수 1~10에 따라 평균 18.7~118.2 Mbps의 연산성능을 갖는 것으로 예측되었다. 제안된 확장 가능형 모듈러 역원 연산기는 사용되는 처리요소의 개수에 따라 연산성능과 게이트 수 사이에 교환조건이 성립하며, 따라서 응용분야에서 요구되는 연산성능과 하드웨어 요구량에 최적화된 모듈러 역원 연산회로를 구현할 수 있다.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
• /
• pp.243-246
• /
• 1996

Modular robot manipulator is a robotic system assembled from discrete joints and links into one of many possible manipulator configurations. This paper describes the design method of newly developed modular robot manipulator and the methodology of a task based reconfiguration of it. New locking mechanism is proposed and it provides quick coupling and decoupling. A parallel connection method is devised and it makes modular robot manipulator working well and the number of components on each module reduced. To automatically determine a sufficient or optimal arrangement of the modules for a given task, we also devise an algorithm that automatically generates forward and inverse manipulator kinematics, and we propose an algorithm which maps task specifications to the optimized manipulator configurations. Efficient genetic algorithms are generated and used to search for a optimal manipulator from task specifications. A few of design examples are shown.

• 전력전자학회논문지
• /
• 제21권1호
• /
• pp.49-57
• /
• 2016

A modular multilevel converter is widely adapted for a high-voltage direct current power transmission system. This study proposes a design methodology for a novel digital control that mitigates the negative effects caused by time delay, including communication transport delay for a modular multilevel converter. The modeling and negative effect of time delay are analyzed theoretically in a frequency domain, and its compensation methodology based on an inverse model is described fully with practical considerations. The proposed methodology is verified through several simulation results using a modular 21-level converter system.

• 대한임베디드공학회논문지
• /
• 제12권1호
• /
• pp.11-18
• /
• 2017

Finite field arithmetic has been extensively used in error correcting codes and cryptography. Low-complexity and high-speed designs for finite field arithmetic are needed to meet the demands of wider bandwidth, better security and higher portability for personal communication device. In particular, cryptosystems in GF($2^m$) usually require computing exponentiation, division, and multiplicative inverse, which are very costly operations. These operations can be performed by computing modular AB multiplications or modular $AB^2$ multiplications. To compute these time-consuming operations, using $AB^2$ multiplications is more efficient than AB multiplications. Thus, there are needs for an efficient $AB^2$ multiplier architecture. In this paper, we propose a low latency Montgomery $AB^2$ multiplier using redundant representation over GF($2^m$). The proposed $AB^2$ multiplier has less space and time complexities compared to related multipliers. As compared to the corresponding existing structures, the proposed $AB^2$ multiplier saves at least 18% area, 50% time, and 59% area-time (AT) complexity. Accordingly, it is well suited for VLSI implementation and can be easily applied as a basic component for computing complex operations over finite field, such as exponentiation, division, and multiplicative inverse.

• Journal of the Korean Data and Information Science Society
• /
• 제25권6호
• /
• pp.1467-1474
• /
• 2014

본 논문에서는 정수론 분야에서 가장 기초적인 방법으로 소개되는 유클리드 알고리즘과 이를 확장한 확장 유클리드 알고리즘을 소개하고 이들에 대한 컴퓨터 집약적 방법을 연구하였다. 이들 알고리즘들은 공개키 암호 분야에서 암호화의 과정에서 반드시 거쳐야 하는 과정들 중의 하나로서 그 응용성이 날로 부각되고 있다. 확장 유클리드 알고리즘에 대한 컴퓨터 집약적 방법으로서 마이크로소프트 엑셀과 C 언어를 이용하는 두 가지 방법을 각각 고안하여 제안하였다. 본 논문은 단순히 정수론 차원의 계산을 쉽고 편리하게 하기 위함만이 목적이 아니고 아주 큰 수에 대한 역원 (곱셈에 대한 역원)의 계산과 이의 공개키 암호화 활용에서 의의를 찾을 수 있다.

• 로봇학회논문지
• /
• 제15권2호
• /
• pp.131-138
• /
• 2020

This paper proposes a low-cost robotic surgery system composed of a general purpose robotic arm, an interface for daVinci surgical robot tools and a modular haptic controller utilizing smart actuators. The 7 degree of freedom (DOF) haptic controller is suspended in the air using the gravity compensation, and the 3D position and orientation of the controller endpoint is calculated from the joint readings and the forward kinematics of the haptic controller. Then the joint angles for a general purpose robotic arm is calculated using the analytic inverse kinematics so that that the tooltip reaches the target position through a small incision. Finally, the surgical tool wrist joints angles are calculated to make the tooltip correctly face the desired orientation. The suggested system is implemented and validated using the physical UR5e robotic arm.

• 제어로봇시스템학회:학술대회논문집
• /
• 제어로봇시스템학회 1987년도 한국자동제어학술회의논문집; 한국과학기술대학, 충남; 16-17 Oct. 1987
• /
• pp.264-268
• /
• 1987

This paper is concerned on kinematic analysis and simulation of an automatic feeding mechanism subjected by the motion of a curvilinear inverse can. The curvilinear cam is rotated by positioning a translating roller and the automatic feeding mechanism is moved to the sliding position by the motion of a campin fixed on the curvilinear cam. The curvilinear cam consists of two arcs of circles and two straight lines. The modular approach is used for the kinematic analysis of the feeding mechanism. As the first part of the paper for the motion simulation of the cam-feeding system, this paper discusses the algorithm to simulate the motion of the cam-feeding mechanism. The second part of the paper presents the state-of-art for the graphics-oriented CAD technique,

• 대한수학회보
• /
• 제58권2호
• /
• pp.461-479
• /
• 2021

This paper includes a general version of Bessel multipliers in Hilbert C∗-modules. In fact, by combining analysis, an operator on the standard Hilbert C∗-module and synthesis, we reach so-called generalized Bessel multipliers. Because of their importance for applications, we are interested to determine cases when generalized multipliers are invertible. We investigate some necessary or sufficient conditions for the invertibility of such operators and also we look at which perturbation of parameters preserve the invertibility of them. Subsequently, our attention is on how to express the inverse of an invertible generalized frame multiplier as a multiplier. In fact, we show that for all frames, the inverse of any invertible frame multiplier with an invertible symbol can always be represented as a multiplier with an invertible symbol and appropriate dual frames of the given ones.