### A class of almost r-phase sequences with ideal autocorrelation

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Chung, J.S., No, J.S. & Chung, H. (2011) A construction of a new family of M-ary sequences with low

correlation from Sidel’nikov sequences. IEEE Transactions on Information Theory, 57(4):2301-

Ciftlikli, C. & Develi, I. (2004) A plausible approach to determine most suitable spreading codes for a

direct-sequence CDMA system. Kuwait Journal of Science & Engineering, 31(2):235-259.

Cusick, T.W., Ding, C. & Renvall, A. (1998) Stream Ciphers and Number Theory. Elsevier, Amsterdam.

Dickson, L.E. (1935) Cyclotomy, higher congruences, and Waring’s problem. American Journal of

Mathematics, 57:391-424.

Ding, C. & Helleseth, T. (1998) On cyclotomic generator of order r. Information Processing Letters,

(1):21-25.

Golomb, S.W. & Gong, G. (2005) Signal Design for Good Correlation: For Wireless Communication,

Cryptography and Radar. Cambridge University Press, Cambridge.

Green, D.H. & Green, P.R. (2003) Polyphase power-residue sequences. Royal Society of London

Proceedings Series, A 459(2032):817-827.

Huang, B. & Tu, H. (2015) Strongly secure certificateless one-pass authenticated key agreement scheme.

Kuwait Journal of Science, 42(1):91-108.

Kim, Y.S., Chung, J.S., No, J.S. & Chung, H. (2005) On the autocorrelation distributions of Sidel’nikov

sequences. IEEE Transactions on Information Theory, 51(9):3303-3307.

Lüke, H.D., Schotten, H.D. & Hadinejad-Mahram, H. (2000) Generalised Sidelnikov sequences with

optimal autocorrelation properties. Electronics Letters, 36(6):525-527.

Meidl, W. (2009) Remarks on a cyclotomic sequence. Designs, Codes and Cryptography, 51(1):33-43.

Rushanan, J.J. (2006) Weil sequences: A family of binary sequences with good correlation properties.

Proceeding of IEEE International Symposium on Information Theory 2006, Seattle, USA, 1648-

Sidel’nikov, V.M. (1969) Some k-valued pseudo-random sequences and nearly equidistant codes. Problems

of Information Transmission, 5(1):12-16.

Storer, T. (1967) Cyclotomy and Difference Sets. Markham Publishing Co., Chicago.

Sze, T.W., Chanson, S., Ding, C., Helleseth, T. & Parker, M. (2003) Logarithm cartesian authentication

codes. Information and Computation, 184(1):93-108.

Tang, X. & Lindner, J. (2009) Almost quadriphase sequence with ideal autocorrelation property. IEEE

Signal Processing Letters, 16(1):38-40.

Wang, Z., Gong, G. & Yu, N.Y. (2013) New polyphase sequence families with low correlation derived

from the Weil bound of exponential sums. IEEE Transactions on Information Theory, 59(6):3990-

Yu, N.Y. & Gong, G. (2010) Multiplicative characters, the Weil bound, and polyphase sequence families

with low correlation. IEEE Transactions on Information Theory, 56(12):6376-6387.

Zeng, X., Hu, L. & Liu, Q. (2006) A novel method for constructing almost perfect polyphase sequences.

Lecture Notes in Computer Science, 3969:346-353.

Zhou, Z. & Tang, X. (2011) New nonbinary sequence families with low correlation, large size, and large

linear span. Applied Mathematics Letters, 24(7):1105-1110.

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