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Asymptotically Pseudo-Independent Matrices (1809.00408v2)

Published 2 Sep 2018 in math.PR and math.CO

Abstract: We show that the family of pseudo-random matrices recently discovered by Soloveychik, Xiang, and Tarokh in their work `Symmetric Pseudo-Random Matrices' exhibits asymptotic independence. More specifically, any two sequences of matrices of matching sizes from that construction generated using sequences of different non-reciprocal primitive polynomials are asymptotically independent.

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