Enumeration techniques for best N-phase codes

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Enumeration techniques for best N-phase codes

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© The Institution of Electrical Engineers
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Efficient implementation techniques for the enumeration of the best N-phase codes are proposed. These techniques allow a single program to simultaneously take advantage of all sidelobe-invariant transformations (i.e. constant and linear phase shift, reversal and conjugation). As an example of application, all Barker codes of length 16 with minimum alphabet size are determined.

Inspec keywords: codes; information theory

Other keywords: enumeration; sidelobe-invariant transformations; minimum alphabet size; implementation techniques; N-phase codes; Barker codes

Subjects: Information theory; Codes

References

    1. 1)
      • N. Zhang , S.W. Golomb . A limit theorem for n-phase Barker sequences. IEEE Trans. , 863 - 866
    2. 2)
      • S.W. Golomb , R.A. Scholtz . Generalized Barker sequences. IEEE Trans. , 533 - 537
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      • F.E. Nathanson . (1991) , Radar design principles.
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      • R.J. Turyn . Four-phase Barker codes. IEEE Trans. , 366 - 371
    5. 5)
      • N. Zhang , S.W. Golomb . Sixty-phase generalized Barker sequences. IEEE Trans. , 911 - 912
    6. 6)
      • L.M. Fourdan . About the enumeration of best biphase codes. IEEE Trans. , 1427 - 1428
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