p-ary Unified Sequences:p-ary Extended d-Form Sequences with Ideal Autocorrelation Property 


Vol. 27,  No. 1, pp. 42-50, Jan.  2002


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  Abstract

In this paper, for a prime number p, a construction method to generate p-ary d-form sequences with ideal autocorrelation property is proposed and using the ternary sequences with ideal autocorrelation found by Helleseth, Kumar and Martinsen, ternary d-form sequences with ideal autocorrelation property are introduced. By combining the methods for generating the p-ary extended sequences (a special case of geometric sequences) and the p-ary d-form sequences, a construction method of p-ary unified (extended d-form) sequences which also have ideal autocorrelation property is proposed, which is very general class of p-ary sequences including the binary and nonbinary extended sequences and d-form seuqences. From the ternary sequences with ideal autocorrelation by Helleseth, Kumar and Martinsen, ternary unified sequences with ideal autocorrelation property are also generated.

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  Cite this article

[IEEE Style]

J. No, "p-ary Unified Sequences:p-ary Extended d-Form Sequences with Ideal Autocorrelation Property," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 1, pp. 42-50, 2002. DOI: .

[ACM Style]

Jong-Seon No. 2002. p-ary Unified Sequences:p-ary Extended d-Form Sequences with Ideal Autocorrelation Property. The Journal of Korean Institute of Communications and Information Sciences, 27, 1, (2002), 42-50. DOI: .

[KICS Style]

Jong-Seon No, "p-ary Unified Sequences:p-ary Extended d-Form Sequences with Ideal Autocorrelation Property," The Journal of Korean Institute of Communications and Information Sciences, vol. 27, no. 1, pp. 42-50, 1. 2002.

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pISSN : 1226 - 4717
eISSN : 2287 - 3880