Summary
By using the multiplicative inverse modulo p, a large family of finite binary sequences is constructed with strong pseudorandom properties. The crucial tool in the proofs is an (additive) character sum estimate of Eichenauer--Hermann and Niederreiter.
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Mauduit, C., Sárközy, A. Construction of pseudorandom binary sequences by using the multiplicative inverse. Acta Math Hung 108, 239–252 (2005). https://doi.org/10.1007/s10474-005-0222-y
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DOI: https://doi.org/10.1007/s10474-005-0222-y