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Large low probability of intercept properties of the quaternary sequence with optimal correlation property constructed by legendre sequences

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Abstract

In this paper, we consider the Low Probability of Intercept(LPI) property of the quaternary sequence proposed by Kim, Jang, Kim, and No. We derive the LPI property of the sequence by calculating the triple autocorrelation bound of the sequence. The derived bound is approximately twice square root of the period of sequence that is similar to the triple correlation property of binary Legendre sequence.

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Acknowledgments

This work was supported by the National Research Foundation of Korea grant funded by the Korean Government (NRF-2013R1A1A2004381, NRF-2014R1A1A1002984) and by the Power Generation and Electricity Delivery of the KETEP grant funded by the Korea government Ministry of Trade, Industry and Energy (20131020400760).

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Authors and Affiliations

  1. Department of Computer Science at Ulsan College, Ulsan, 682-715, Korea

    Ji-Woong Jang

  2. Department of Information and communication Engineering, Dongguk University, Seoul, 100-715, Korea

    Dae-Woon Lim

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  1. Ji-Woong Jang
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Correspondence to Dae-Woon Lim.

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Jang, JW., Lim, DW. Large low probability of intercept properties of the quaternary sequence with optimal correlation property constructed by legendre sequences. Cryptogr. Commun. 8, 593–604 (2016). https://doi.org/10.1007/s12095-015-0161-6

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  • DOI: https://doi.org/10.1007/s12095-015-0161-6

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