Perfect polyphase sequences from cubic polynomials

Min Kyu Song; Hong Yeop Song

doi:10.1109/ISIT.2017.8006737

Perfect polyphase sequences from cubic polynomials

Min Kyu Song, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

In this paper, we propose a new construction of perfect p^k-ary sequences of period p^k, where p is an odd prime and k ≥ 2 is a positive integer, based on cubic polynomials over the integers modulo p^k. We show that, for some appropriate parameters, it generates perfect polyphase sequences which are not the generalized chirp-like sequences constructed by Popovic in 1992.

Original language	English
Title of host publication	2017 IEEE International Symposium on Information Theory, ISIT 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1292-1295
Number of pages	4
ISBN (Electronic)	9781509040964
DOIs	https://doi.org/10.1109/ISIT.2017.8006737
Publication status	Published - 2017 Aug 9
Event	2017 IEEE International Symposium on Information Theory, ISIT 2017 - Aachen, Germany Duration: 2017 Jun 25 → 2017 Jun 30

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Other

Other	2017 IEEE International Symposium on Information Theory, ISIT 2017
Country/Territory	Germany
City	Aachen
Period	17/6/25 → 17/6/30

Bibliographical note

Funding Information:
ACKNOWLEDGMENT This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. 2017R1A2B4011191).

Publisher Copyright:
© 2017 IEEE.

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Modelling and Simulation
Applied Mathematics

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10.1109/ISIT.2017.8006737

Cite this

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title = "Perfect polyphase sequences from cubic polynomials",

abstract = "In this paper, we propose a new construction of perfect pk-ary sequences of period pk, where p is an odd prime and k ≥ 2 is a positive integer, based on cubic polynomials over the integers modulo pk. We show that, for some appropriate parameters, it generates perfect polyphase sequences which are not the generalized chirp-like sequences constructed by Popovic in 1992.",

author = "Song, {Min Kyu} and Song, {Hong Yeop}",

note = "Funding Information: ACKNOWLEDGMENT This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIP) (No. 2017R1A2B4011191). Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 IEEE International Symposium on Information Theory, ISIT 2017 ; Conference date: 25-06-2017 Through 30-06-2017",

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doi = "10.1109/ISIT.2017.8006737",

language = "English",

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Song, MK & Song, HY 2017, Perfect polyphase sequences from cubic polynomials. in 2017 IEEE International Symposium on Information Theory, ISIT 2017., 8006737, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 1292-1295, 2017 IEEE International Symposium on Information Theory, ISIT 2017, Aachen, Germany, 17/6/25. https://doi.org/10.1109/ISIT.2017.8006737

Perfect polyphase sequences from cubic polynomials. / Song, Min Kyu; Song, Hong Yeop.
2017 IEEE International Symposium on Information Theory, ISIT 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 1292-1295 8006737 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Perfect polyphase sequences from cubic polynomials

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