• Journal of Korea Multimedia Society
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• v.6 no.3
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• pp.549-555
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• 2003

CA is cost-effective to generate pseudorandom patterns than LFSR. Based on the effectiveness of a CA based pseudorandom pattern generator, CA have been employed successfully in several applications. Especially Nongroup CA is applied to efficient hash function generation, cryptography and image compression. In this paper we analyze the properties of TPNCA and by using basic paths in the 0-tree of a linear TPNCA we analyze the structure of the state-transition graph. Also by showing the structure of the complemented CA which have the acyclic state of the 0-tree as the complement vector is isomorphic to the structure of the original TPNCA, we reduce the time in analyzing the CA-states.

• Proceedings of the Korea Multimedia Society Conference
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• 2002.05d
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• pp.1127-1132
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• 2002

LFSR보다 CA가 랜덤성이 우수한 패턴들을 효율적으로 생성함이 알려지면서 그 응용분야가 점차적으로 확대되어가고 있다. Nongroup CA는 해쉬함수의 생성, 암호알고리즘, 이미지 압축 등에 응용되고 있다. 그러나 CA가 생성하는 패턴의 분석이 용이하지 못하였다. 본 논문에서는 선형 nongroup CA의 일반적인 성질과 여원 벡터가 선형 nongroup CA의 0-트리의 0이 아닌 상태인 경우 이로부터 유도되는 여원 TPNCA의 상태들의 행동을 분석하였다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2007.06a
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• pp.423-426
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• 2007

In this paper, we propose an algorithm for finding 90/150 Two Predecessor Nongroup Cellular Automata(TPNCA). Especially, we synthesize TPNCA for the minimal polynomial whose type is of the form xp(x) or x(x+1)p(x) using the proposed algorithm which is useful to study pseudorandom number generation, where p(x) is some primitive polynomial. Also we synthesize Two Predecessor Single Attractor CA and Two Predecessor Multiple Attractor CA which are useful to study hashing.