Abstract
Non-linear functions are very essential in different crypto primitives as they increase the security of the cipher designs. On the other hand, maximum length sequences help to prevent repeatability of a pseudorandom generator. Linear functions such as LFSR and linear cellular automata are used to generate maximum length sequences. However linear maximum length sequences are not secure. So there is a necessity of a construction that can provide both non-linearity and maximum length sequence for optimized cipher designs. In this work, we propose an algorithm for synthesizing a maximum length non-linear cellular automata to fulfill the requirement. Extensive experimentation on the proposed scheme shows that the construction achieves high non-linearity. Moreover, we have implemented and tested the design in Xilinx Spartan-3 FPGA platform and the hardware overhead is shown to be nominal.
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Ghosh, S., Sengupta, A., Saha, D., Chowdhury, D.R. (2014). A Scalable Method for Constructing Non-linear Cellular Automata with Period 2n − 1. In: Wąs, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham. https://doi.org/10.1007/978-3-319-11520-7_8
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DOI: https://doi.org/10.1007/978-3-319-11520-7_8
Publisher Name: Springer, Cham
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