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A reader design for reading back at very high density is proposed for bit patterned media recording (BPMR). The idea is a rotated sense head, so that the shields are aligned down-track, combined with oversampled signal processing to regain the lost down-track resolution. Simulation results show that the proposed reader has more than 20 dB gain compared with a normally oriented head array for reading back at 10 Tbit/in2. The tradeoff between oversampling and increased target length is examined. Island jitters are found to be non-Gaussian distributed. The performance of the new design is investigated for various bit patterns, island jitter and head noise.