Infinite order-2 digital sequences over F_2 attain the optimal periodic L2-discrepancy bound of order C_d (log N)^{d/2}/N for all N except 1, improving prior order-5 constructions by reducing dimension from 5d to 2d.
Acta Numer
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Infinite sequences with optimal diaphony, periodic $L_2$-discrepancy, and beyond
Infinite order-2 digital sequences over F_2 attain the optimal periodic L2-discrepancy bound of order C_d (log N)^{d/2}/N for all N except 1, improving prior order-5 constructions by reducing dimension from 5d to 2d.