Abstract
This paper proposes a new hash function using two-dimensional cellular automata. The cellular structure of 5-neighborhood 2D CA is exploited to use it as the basic building block of the hash function. It has been shown that the excellent randomness along with the inherent diffusion makes 2D CA an ideal candidate of Hash function. This work also focuses on the security analysis of the Hash function. We demonstrate Birthday attack and the analysis shows that the design is secure against this attack.
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Notes
- 1.
A CA having cycle length 2\(^n - 1\) is called maximum length CA.
- 2.
Strict Avalanche Criterion: If a change of a bit in the input sequence leads to the change of every output bits with a probability of 50\(\%\), then it is said to observe the Strict Avalanche Criteria.
- 3.
Bit independence Criterion: If a change in a bit i of the input sequence leads to change in the output bit j and k where j and k changes independently for all i, j and k then it is said to be Bit independence Criterion.
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Haldar, T., Chowdhury, D.R. (2021). Design of Hash Function Using Two Dimensional Cellular Automata. In: Giri, D., Ho, A.T.S., Ponnusamy, S., Lo, NW. (eds) Proceedings of the Fifth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1170. Springer, Singapore. https://doi.org/10.1007/978-981-15-5411-7_3
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DOI: https://doi.org/10.1007/978-981-15-5411-7_3
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