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Meeting the Welch and Karystinos-Pados Bounds on DS-CDMA Binary Signature Sets
Authors:Cunsheng Ding  Mordecai Golin  Torleiv Kløve
Institution:(1) Department of Computer Science, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;(2) Department of Information Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong, China (on leave from the University of Bergen, Norway
Abstract:The Welch lower bound on the total-squared-correlation (TSC) of binary signature sets is loose for binary signature sets whose length L is not a multiple of 4. Recently Karystinos and Pados 6,7] developed new bounds that are better than the Welch bound in those cases, and showed how to achieve the bounds with modified Hadamard matrices except in a couple of cases. In this paper, we study the open cases.
Keywords:binary sequences  code division multiple access  codes  Welch bound  Karystinos-Pados bound
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