Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Construction of Complemented Hybrid Group Cellular Automata with Maximum Equal Lengths

최대 동일 길이를 갖는 여원 HGCA구성

  • Published : 2006.09.01
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Abstract

Recently with the ever increasing growth of data communication, the need for security and privacy has become a necessity. The advent of wireless communication and other handheld devices like Personal Digital Assistants and smart cards have made the implementation of cryptosystems a major issue. The Cellular Automata(CA) can be programmed to implement hardware sharing between the encryption and decryption. In this paper, we give conditions for a linear hybrid cellular automata with 60, 102 or 204 to be a linear hybrid group cellular automata C. And we present the conditions which the complemented hybrid group cellular automata C' with complement vectors derived from C has maximum equal lengths in the state transition diagram of C' Also we analyze the relationship among cycles of C' These results generalize Mukhopadhyay's results.

최근 무선 통신의 출현과 PDA, 스마트 카드와 같은 휴대용 장치의 발전으로 인해, 이에 대한 보안과 개인 정보보호에 대한 필요성이 대두되면서 암호학의 적용에 관심이 높아지고 있다. CA는 암 복호화를 공유할 수 있는 하드웨어 구현이 용이하다. 본 논문에서는 전이규칙 60, 102 또는 204를 갖는 선형 하이브리드 셀룰라 오토마타가 그룹 셀룰라 오토마타가 되는 조건을 제안하고 이 셀룰라 오토마타로부터 유도된 여원 하이브리드 그룹 CA의 상태전이 그래프에서 모든 사이클의 주기가 동일하고 가능한 최대 길이를 갖는 CA가 되기 위한 여 원벡터의 조건을 제시한다. 또한 여원 하이브리드 그룹 셀룰라 오토마타의 사이클들 간의 관계를 분석한다. 이는 Mukhopadhyay의 결과의 일반화이다.

Keywords

References

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