Abstract
A new construction of quaternary sequences, similar to the small set of binary Kasami sequences, is presented. The correlation distribution of the code generated by these sequences is determined. As a byproduct, the Lee weight distribution of the code is given.
The work was supported in part by the Norwegian Research Council.
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References
T. Helleseth and P. V. Kumar, The weight hierarchy of the Kasami codes, Discrete Mathematics, 45 (1995), 133–143.
K. Yang, T. Helleseth, P. V. Kumar and A. Shanbhag, On the weight hierarchy of Kerdock codes over Z4 IEEE Trans. Inform. Theory, 42 (1996), 1587–1594.
T. Helleseth and P. V. Kumar, “Sequences with low correlation,” in Handbook of Coding Theory (Eds. V. Pless and W. C. Huffman), Elsevier, 1998.
P. Kumar, T. Helleseth, A. Calderbank and A. Hammons, Jr., Large families of qua, ternary sequences with low correlation, IEEE Trans. Inform. Theory, 42 (1996), 579–593.
P. Udaya and M. Siddiqi, Large linear complexity sequences over Z4 for quadriphase modulated communication systems having good correlation properties, Proc. of IEEE International Symposium Inform. Theory, (1991) 386.
S. Bortas, R. Hammons and P. V. Kumar, 4-phase sequences with near-optimum correlation properties, IEEE Trans. Inform. Theory, 38 (1992), 1101–1113.
A. R. Hammons Jr, P. V. Kumar, A. R. Calderbank, N. J. A. Sloane and P. Solè, The Z4-linearity of Kerdoc, Preparata, Goethals, and related codes, IEEE Trans. of Inform. Theory, 40 (1994), 301–319.
O. N. Vassbakk, “Vektfordelingen og vekthiearkiet til noen Z4-koder”, Master thesis, Department of Informatics, University of Bergen, Norway, 1998.
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© 1999 Springer-Verlag London
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Helleseth, T., Kumar, P.V., Martinsen, H.M., Vassbakk, O.N. (1999). Correlation Distribution of the Quaternary Kasami Sequences*. In: Ding, C., Helleseth, T., Niederreiter, H. (eds) Sequences and their Applications. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0551-0_17
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DOI: https://doi.org/10.1007/978-1-4471-0551-0_17
Publisher Name: Springer, London
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