• DocumentCode
    3284764
  • Title

    Generating Costas Arrays to Order 200

  • Author

    Beard, James K.

  • Author_Institution
    Temple Univ., Philadelphia, PA
  • fYear
    2006
  • fDate
    22-24 March 2006
  • Firstpage
    1130
  • Lastpage
    1133
  • Abstract
    Number-theoretic generators of Costas arrays and generalizations in the literature and some presented here produce 526,908 of the known 663,703 known Costas arrays for orders up to 200. For orders higher than seven, there are more Costas arrays than the generators produce. A spin generalization is observed to find new Costas arrays for orders up to about 50, but none of higher order. This, and early work on the occurrence of Costas arrays, indicates that most, or all, Costas arrays are known, or are generated by known generators and their generalizations.
  • Keywords
    information theory; matrix algebra; number theory; Costas arrays; number-theoretic generator; spin generalization; Additives; Arithmetic; Bandwidth; Doppler radar; Doppler shift; Equations; Frequency; Galois fields; Sonar; Symmetric matrices; Costas arrays; permutation matrices number theory; waveform design;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Sciences and Systems, 2006 40th Annual Conference on
  • Conference_Location
    Princeton, NJ
  • Print_ISBN
    1-4244-0349-9
  • Electronic_ISBN
    1-4244-0350-2
  • Type

    conf

  • DOI
    10.1109/CISS.2006.286635
  • Filename
    4067976