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Digital Sequences with Best Possible Order of L2-Discrepancy
Published online by Cambridge University Press: 21 December 2009
Abstract
This paper treats the L2-discrepancy of digital (0, 1)-sequences over ℤ2, and gives conditions on the generator matrix of such a sequence which guarantee minimal possible order of L2-discrepancy of the generated sequence. The existence is proved for the first time of digital (0; 1)-sequences over ℤ2 with L2-discrepancy of order . This order is best possible by a result of K. Roth. The existence proof is constructive.
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- Copyright © University College London 2006
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