A New Construction of Optimal <I>p</I><SUP>2</SUP>-Ary Low Correlation Zone Sequences Using Unified Sequences

Ji-Woong JANG; Jong-Seon NO; Habong CHUNG

doi:10.1093/ietfec/e89-a.10.2656

A New Construction of Optimal p²-Ary Low Correlation Zone Sequences Using Unified Sequences

Ji-Woong JANG, Jong-Seon NO, Habong CHUNG

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In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p²-ary low correlation zone (LCZ) sequence set with parameters (pⁿ-1, p^e-1, (pⁿ -1)/(p^e -1), 1) from a p-ary sequence of the same length with ideal autocorrelation. The resulting p²-ary LCZ sequence set can be viewed as the generalization of the optimal quaternary LCZ sequence set by Kim, Jang, No, and Chung in respect of the alphabet size. This generalization becomes possible due to a completely new proof comprising any prime p. Under this proof, the quaternary case can be considered as a specific example for p = 2.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2656-2661

Publication Date: 2006/10/01

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Online ISSN: 1745-1337

DOI: 10.1093/ietfec/e89-a.10.2656

Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)

Category: Sequences

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Ji-Woong JANG, Jong-Seon NO, Habong CHUNG, "A New Construction of Optimal p2-Ary Low Correlation Zone Sequences Using Unified Sequences" in IEICE TRANSACTIONS on Fundamentals, vol. E89-A, no. 10, pp. 2656-2661, October 2006, doi: 10.1093/ietfec/e89-a.10.2656.
Abstract: In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p²-ary low correlation zone (LCZ) sequence set with parameters (pⁿ-1, p^e-1, (pⁿ -1)/(p^e -1), 1) from a p-ary sequence of the same length with ideal autocorrelation. The resulting p²-ary LCZ sequence set can be viewed as the generalization of the optimal quaternary LCZ sequence set by Kim, Jang, No, and Chung in respect of the alphabet size. This generalization becomes possible due to a completely new proof comprising any prime p. Under this proof, the quaternary case can be considered as a specific example for p = 2.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.10.2656/_p

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@ARTICLE{e89-a_10_2656,
author={Ji-Woong JANG, Jong-Seon NO, Habong CHUNG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New Construction of Optimal p2-Ary Low Correlation Zone Sequences Using Unified Sequences},
year={2006},
volume={E89-A},
number={10},
pages={2656-2661},
abstract={In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p²-ary low correlation zone (LCZ) sequence set with parameters (pⁿ-1, p^e-1, (pⁿ -1)/(p^e -1), 1) from a p-ary sequence of the same length with ideal autocorrelation. The resulting p²-ary LCZ sequence set can be viewed as the generalization of the optimal quaternary LCZ sequence set by Kim, Jang, No, and Chung in respect of the alphabet size. This generalization becomes possible due to a completely new proof comprising any prime p. Under this proof, the quaternary case can be considered as a specific example for p = 2.},
keywords={},
doi={10.1093/ietfec/e89-a.10.2656},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - A New Construction of Optimal p2-Ary Low Correlation Zone Sequences Using Unified Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2656
EP - 2661
AU - Ji-Woong JANG
AU - Jong-Seon NO
AU - Habong CHUNG
PY - 2006
DO - 10.1093/ietfec/e89-a.10.2656
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2006
AB - In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p²-ary low correlation zone (LCZ) sequence set with parameters (pⁿ-1, p^e-1, (pⁿ -1)/(p^e -1), 1) from a p-ary sequence of the same length with ideal autocorrelation. The resulting p²-ary LCZ sequence set can be viewed as the generalization of the optimal quaternary LCZ sequence set by Kim, Jang, No, and Chung in respect of the alphabet size. This generalization becomes possible due to a completely new proof comprising any prime p. Under this proof, the quaternary case can be considered as a specific example for p = 2.
ER -