2004•Information Security and CryptologyRequires access

Analysis of hash functions based on cellular automata

Ki-Tae Jeong, Jesang Lee, Donghoon Chang, Jaechul Sung, Sangjin Lee

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Hash function, Computer science, Theoretical computer science, Deterministic finite automaton, Pseudorandom number generator, Cellular automaton, Rolling hash, SWIFFT

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