László Mérai

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math.NT2023

Distribution of recursive matrix pseudorandom number generator modulo prime powers

László Mérai, Igor E. Shparlinski

Given a matrix $A \in GL_{d} (Z)$ . We study the pseudorandomness of vectors $u_{n}$ generated by a linear recurrent relation of the form $$ \mathbf{u}_{n+1} \e…

math.NT2016

The cross-correlation measure of families of finite binary sequences: limiting distributions and minimal values

László Mérai

Gyarmati, Mauduit and Sárközy introduced the cross-correlation measure $Φ_{k} (G)$ of order $k$ to measure the level of pseudorandom properties of families of finite binary sequences.…