Abstract
In an effort to search for new binary two-level autocorrelation sequences of period 2n − 1, a new method of iterative decimation-Hadamard transform is proposed. It is based on the Hadamard transform of a shift and decimation of a binary two-level autocorrelation sequence, and its multiplexing. The experimental results show that several known binary two-level autocorrelation sequences can be obtained from our method.
This work was supported by NSERC Grant RGPIN 227700-00.
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References
Gong, G., Golomb, S.W.: The decimation-Hadamard transform of two-level autocorrelation sequences. IEEE Trans. Inform. Theory 48(4), 853–865 (2002)
Dillon, J.F., Dobbertin, H.: New cyclic difference sets with Singer parameters. Finite Fields and Their Applications 10, 342–389 (2004)
Hertel, D.: Extended Hadamard Equivalence. In: Gong, G., Helleseth, T., Song, H.-Y., Yang, K. (eds.) SETA 2006. LNCS, vol. 4086, pp. 119–128. Springer, Heidelberg (2006)
No, J.S., Golomb, S.W., Gong, G., Lee, H.K., Gaal, P.: Binary pseudorandom sequences of period 2m − 1 with ideal autocorrelation. IEEE Trans. Inform. Theory 44(2), 814–817 (1998)
Charpin, P., Gong, G.: Hyperbent functions, Kloosterman sums, and Dickson polynomials. IEEE Trans. Inform. Theory 54(9), 4230–4238 (2008)
Golomb, S.W., Gong, G.: Signal Design for Good Correlation - for Wireless Communication, Cryptography and Radar. Cambridge University Press, Cambridge (2005)
Yu, N., Gong, G.: Realization of decimation-Hadamard transform for binary generalized GMW sequences. In: Proc. of Workshop on Coding and Cryptography (WCC), Bergen, Norway, pp. 127–136 (March 2005)
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Yu, N.Y., Gong, G. (2009). Multiplexing Realizations of the Decimation-Hadamard Transform of Two-Level Autocorrelation Sequences. In: Chee, Y.M., Li, C., Ling, S., Wang, H., Xing, C. (eds) Coding and Cryptology. IWCC 2009. Lecture Notes in Computer Science, vol 5557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01877-0_20
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DOI: https://doi.org/10.1007/978-3-642-01877-0_20
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