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Large families of quaternary sequences with low correlation

Publication ,  Journal Article
Vijay Kumar, P; Helleseth, T; Calderbank, AR; Roger Hammons, A
Published in: IEEE Transactions on Information Theory
December 1, 1996
Published version (DOI)

A family of quaternary (Z4-alphabet) sequences of length L = T -1, size M > L2 +3X+2, and maximum nontrivial correlation parameter Cmax < 2√L + 1 + 1 is presented. The sequence family always contains the four-phase family A. When r is odd, it includes the family of binary Gold sequences. The sequence family is easily generated using two shift registers, one binary, the other quaternary. The distribution of correlation values is provided. The construction can be extended to produce a chain of sequence families, with each family in the chain containing the preceding family. This gives the design flexibility with respect to the number of intermittent users that can be supported, in a code-division multiple-access cellular radio system. When r is odd, the sequence families in the chain correspond to shortened Z4 -linear versions of the Delsarte-Goethals codes. Index Terms-. © 1996 IEEE.

Duke Scholars

Robert Calderbank
Author Robert Calderbank Computer Science
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Published In

IEEE Transactions on Information Theory

DOI

10.1109/18.485726

ISSN

0018-9448

Publication Date

December 1, 1996

Volume

42

Issue

2

Start / End Page

579 / 592

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

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Vijay Kumar, P., Helleseth, T., Calderbank, A. R., & Roger Hammons, A. (1996). Large families of quaternary sequences with low correlation. IEEE Transactions on Information Theory, 42(2), 579–592. https://doi.org/10.1109/18.485726
Vijay Kumar, P., T. Helleseth, A. R. Calderbank, and A. Roger Hammons. “Large families of quaternary sequences with low correlation.” IEEE Transactions on Information Theory 42, no. 2 (December 1, 1996): 579–92. https://doi.org/10.1109/18.485726.
Vijay Kumar P, Helleseth T, Calderbank AR, Roger Hammons A. Large families of quaternary sequences with low correlation. IEEE Transactions on Information Theory. 1996 Dec 1;42(2):579–92.
Vijay Kumar, P., et al. “Large families of quaternary sequences with low correlation.” IEEE Transactions on Information Theory, vol. 42, no. 2, Dec. 1996, pp. 579–92. Scopus, doi:10.1109/18.485726.
Vijay Kumar P, Helleseth T, Calderbank AR, Roger Hammons A. Large families of quaternary sequences with low correlation. IEEE Transactions on Information Theory. 1996 Dec 1;42(2):579–592.

Published In

IEEE Transactions on Information Theory

DOI

10.1109/18.485726

ISSN

0018-9448

Publication Date

December 1, 1996

Volume

42

Issue

2

Start / End Page

579 / 592

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing