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arXiv · 1902.07314

A linear complexity analysis of quadratic residues and primitive roots spacings

Mihai Caragiu·Shannon Tefft·Aaron Kemats·Travis Maenle
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Abstract

We investigate the linear complexities of the periodic 0-1 infinite sequences in which the periods are the sequence of the parities of the spacings between quadratic residues modulo a prime p, and the sequence of the parities of the spacings between primitive roots modulo p, respectively. In either case, the Berlekamp-Massey algorithm running on MAPLE computer algebra software shows very good to perfect linear complexities.

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Mihai Caragiu, Shannon Tefft, Aaron Kemats, Travis Maenle. 2019-02-16. A linear complexity analysis of quadratic residues and primitive roots spacings. https://doi.org/10.17654/me019010027

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