Journal of Beijing University of Posts and Telecommunications

  • EI核心期刊

JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2006, Vol. 29 ›› Issue (1): 39-42.doi: 10.13190/jbupt.200601.39.zhangxy

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Existence of Generalized Perfect Binary Arrays

  

  1. 1.People Liberation Army Information Engineering University, Zhengzhou 450002, China
    2.Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China
    3.Institute of Information Engineering, Zhengzhou University, Zhengzhou 450052, China
  • Received:2005-01-04 Online:2006-02-28 Published:2006-02-28

Abstract:

By the tools of group rings and character sums, it was shown that there didn't exist any type of Generalized perfect binary arrays of order 2×2×pn for any n and any odd prime p≠1(mod 8). Meanwhile, the existence problem of Generalized perfect binary arrays of order 2×2×2n was solved. The methods could also be used to study other perfect signals.

Key words: generalized perfect binary arrays, relative difference sets, group rings, Gauss sums

CLC Number: