• Proceedings of the Korea Society for Industrial Systems Conference
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• 2002.06a
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• pp.190-194
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• 2002

Multiplication in Galois Field GF(2/sup m/) is a primary operation for many applications, particularly for public key cryptography such as Diffie-Hellman key exchange, ElGamal. The current paper presents a new architecture that can process Montgomery multiplication over GF(2/sup m/) in m clock cycles based on cellular automata. It is possible to implement the modular exponentiation, division, inversion /sup 1)/architecture, etc. efficiently based on the Montgomery multiplication proposed in this paper. Since cellular automata architecture is simple, regular, modular and cascadable, it can be utilized efficiently for the implementation of VLSI.

• The KIPS Transactions:PartA
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• v.14A no.4
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• pp.245-248
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• 2007

This paper provides some simple recursive formulas generation transition functions of finite cellular automata with triplet local transition functions under two states (0 and 1) and four different boundary conditions (0-0,0-1,1-0,1-1), and classify transition functions into several classes.

• Proceedings of the Korea Information Processing Society Conference
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• 2004.05a
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• pp.1071-1074
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• 2004

최대길이를 갖는 선형유한상태기계(LFSM)가 패턴생성, 신호분석, 암호, 오류정정 부호에 응용되면서 n차 원시다항식을 특성다항식으로 갖는 선형유한상태기계에 관한 연구가 활발하게 이루어지고 있다. 본 논문은 최대길이를 갖는 다양한 셀룰라 오토마타의 효과적인 생성방법을 제안한다. 특성다항식이 n 차 원시다항식인 선형 MLCA로부터 유도된 여원 CA가 MLCA임을 밝히며 여원 MLCA의 여러 가지 성질들을 분석한다. 또한 n-셀 MLCA를 ${\phi}(2^n-1)2^{n+1}/n$개 생성할 수 있음을 보인다.

• Proceedings of the Korea Institutes of Information Security and Cryptology Conference
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• 2001.11a
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• pp.302-305
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• 2001

본 논문에서는 셀룰러 오토마타를 이용하여, GF(2$^{m}$ )상에서 A$B^2$ 연산을 m 클럭 사이클만에 처리할 수 있는 새로운 연산기를 설계하였다. 이는 대부분의 공개키 암호화 시스템에서의 기본 연산인 유한 필드 상의 모듈러 지수(modular exponetiation) 연산기 설계에 효율적으로 이용될 수 있다. 또한 셀룰러 오토마타는 간단하고도 규칙적이며, 모듈화 하기 쉽고 계층화 하기 쉬운 구조이므로 VLSI 구현에도 효율적으로 활용될 수 있다.

• Proceedings of the Korea Information Processing Society Conference
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• 2005.05a
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• pp.513-516
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• 2005

셀룰라 오토마타가 비트단위로 데이터가 처리되는데 비하여 계층적 셀룰라 오토마타는 바이트 단위 또는 그 이상의 단위로 데이터를 처리할 수 있다. 본 논문에서는 GF($2^p$) 위에서의 유한체 성질을 이용하여 한 개의 트리로 구성되는 계층적 비그룹 셀룰라 오토마타인 SAHCA의 성질에 대하여 분석한다. 또한 기본경로를 이용한 선형 SAHCA의 상태전이 그래프를 구성하는 방법과 선형 SAHCA의 상태전이 그래프를 이용하여 비선형인 여원 SAHCA의 상태전이 그래프를 구성하는 알고리즘을 제안한다.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.14 no.6
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• pp.111-123
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• 2004

A hash function is a function that takes bit strings of arbitrary length to bit string of fixed length. A cellular automata is a finite state machine and has the property of generating pseudorandom numbers efficiently by combinational logics of neighbour cells. In [1] and [7], hash functions based on cellular automata which can be implemented efficiently in hardware were proposed. In this paper, we show that we can find collisions of these hash functions with probability 0.46875 and 0.5 respectively.

• The Journal of the Acoustical Society of Korea
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• v.14 no.1
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• pp.81-89
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• 1995

In this paper, we report the continuous speech recognition system using the continuous HMM with discrete duration control and the regression coefficients. Also, we do recognition experiment using One Pass DP method(for 25 sentences of robot control commands) with finite state automata context control. In the experiment for 4 connected spoken digits, the recognition rates are $93.8\%$ when the discrete duration control and the regression coefficients are included, and $80.7\%$ when they are not included. In the experiment for 25 sentences of the robot control commands, the recognition rate are $90.9\%$ when FSN is not included and $98.4\%$ when FSN is included.

• 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.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• v.9 no.1
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• pp.335-338
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• 2005

Though GF(2) CA can only handle data with bit units, GF(2$^{p}$) CA can handle data with byte units. In this paper we analyze the state-transition of nongroup cellular automata(CA) with a single attractor over GF(2$^{p}$). And we propose the constructing method of the state-transition diagram of a linear SACA over GF(2$^{p}$) by using the concept of basic path. Also we propose the state-transition diagram of the nonlinear complemented SACA by using the state-transition diagram of a linear SACA.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.15 no.2
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• pp.105-111
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• 2005

Though GF(2) CA can only handle data with bit units GF(2p) CA can handle data with units more than bit units. In this paper we analyze the state-transition of nongroup cellular automata(CA) with a single attractor over GF(2p). And we propose the constructing method the state-transition diagram of a linear SACA over GF(2p) by using the concept of basic path. Also we propose the state-transition diagram of the nonlinear complemented SACA by using the state-transition diagram of a linear SACA.