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We study the L_p discrepancy of two-dimensional digital nets for finite p. In the year 2001 Larcher and Pillichshammer identified a class of digital nets for which the symmetrized version in the sense of Davenport has L_2 discrepancy of the order √( N)/N, which is best possible due to the celebrated result of Roth. However, it remained open whether this discrepancy bound also holds for the original digital nets without any modification. In the present paper we identify nets from the abovearXiv:1804.04891v1 fatcat:qljasfnoxrg4veoi3sxyshswz4