Abstract
In this paper, four new families S 1, S 2, S 3 and S 4 of binary sequences of period 2n− 1 with low correlation are presented, where S 1, S 3 are defined for odd n, and S 2, S 4 for even n. The family S 1 has six-valued correlations, while S 2 and S 3 have either six-valued correlations or eight-valued correlations, and S 4 has either eight-valued or ten-valued, depending on the choice of parameters.
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Ziemer, R., Peterson, R.: Digital communication and spread spectrum communication systems. McMilian, New York (1985)
Gong, G.: New designs for signal sets with low cross correlation, balance property, and large linear span: GF(p) case. IEEE Trans. Inform. Theory 48, 2847–2867 (2002)
Sidelnikov, V.M.: On mutual correlation of sequences. Sov. Math. Doklady 12, 197–201 (1971)
Gold, R.: Maximal recursive sequences with 3-valued cross correlation function. IEEE Trans. Inform. Theory 14, 154–156 (1968)
Boztas, S., Kumar, P.V.: Binary sequences with Gold-like correlation but larger linear span. IEEE Trans. Inform. Theory 40, 532–537 (1994)
Udaya, P.: Polyphase and frequency hopping sequences obtained from finite rings, Ph. D. dissertation, Dept. Elec. Eng. Indian Inst. Technol., Kanpur (1992)
Kim, S.H., No, J.S.: New families of binary sequences with low correlation. IEEE Trans. Inform. Theory 49, 3059–3065 (2003)
Lidl, R., Niederreiter, H.: Finite fields, Encycl. Math. Appl., vol. 20. Addision Wesley, Reading (1983)
Golomb, S.W.: Shift register sequences, San Francisco, CA, Holden-Day (1967); revised edition: Aegean Park Press, Laguna Hills, CA (1982)
Wang, J.S., Qi, W.F.: Trace presentation of Bent sequence families. Journal of Communications 27, 8–13 (2006)
Wang, J.S., Qi, W.F.: Analysis of design interleaved ZCZ sequence family. In: Gong, G., Helleseth, T., Song, H.-Y., Yang, K. (eds.) SETA 2006. LNCS, vol. 4086, pp. 129–140. Springer, Heidelberg (2006)
Wang, J.S., Qi, W.F.: A class of binary ZCZ sequence families constructed by extending period twice. Journal of Electronics(China) 24, 301–304 (2007)
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Wang, JS., Qi, WF. (2008). Four Families of Binary Sequences with Low Correlation and Large Linear Complexity. In: Pei, D., Yung, M., Lin, D., Wu, C. (eds) Information Security and Cryptology. Inscrypt 2007. Lecture Notes in Computer Science, vol 4990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79499-8_18
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DOI: https://doi.org/10.1007/978-3-540-79499-8_18
Publisher Name: Springer, Berlin, Heidelberg
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