IEICE TRANSACTIONS on Fundamentals
New Quaternary Sequences with Even Period and Three-Valued Autocorrelation
Summary :
In this paper we present a construction method for quaternary sequences from a binary sequence of even period, which preserves the period and autocorrelation of the given binary sequence. By applying the method to the binary sequences with three-valued autocorrelation, we construct new quaternary sequences with three-valued autocorrelation, which are balanced or almost balanced. In particular, we construct new balanced quaternary sequences whose autocorrelations are three-valued and have out-of-phase magnitude 2, when their periods are N=pm-1 and N≡ 2 (mod 4) for any odd prime p and any odd integer m. Their out-of-phase autocorrelation magnitude is the known optimal value for N≠ 2,4,8, and 16.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.1 pp.309-315
- Publication Date
- 2010/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E93.A.309
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Keyword
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Jin-Ho CHUNG, Yun Kyoung HAN, Kyeongcheol YANG, "New Quaternary Sequences with Even Period and Three-Valued Autocorrelation" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 1, pp. 309-315, January 2010, doi: 10.1587/transfun.E93.A.309.
Abstract: In this paper we present a construction method for quaternary sequences from a binary sequence of even period, which preserves the period and autocorrelation of the given binary sequence. By applying the method to the binary sequences with three-valued autocorrelation, we construct new quaternary sequences with three-valued autocorrelation, which are balanced or almost balanced. In particular, we construct new balanced quaternary sequences whose autocorrelations are three-valued and have out-of-phase magnitude 2, when their periods are N=pm-1 and N≡ 2 (mod 4) for any odd prime p and any odd integer m. Their out-of-phase autocorrelation magnitude is the known optimal value for N≠ 2,4,8, and 16.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.309/_p
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@ARTICLE{e93-a_1_309,
author={Jin-Ho CHUNG, Yun Kyoung HAN, Kyeongcheol YANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Quaternary Sequences with Even Period and Three-Valued Autocorrelation},
year={2010},
volume={E93-A},
number={1},
pages={309-315},
abstract={In this paper we present a construction method for quaternary sequences from a binary sequence of even period, which preserves the period and autocorrelation of the given binary sequence. By applying the method to the binary sequences with three-valued autocorrelation, we construct new quaternary sequences with three-valued autocorrelation, which are balanced or almost balanced. In particular, we construct new balanced quaternary sequences whose autocorrelations are three-valued and have out-of-phase magnitude 2, when their periods are N=pm-1 and N≡ 2 (mod 4) for any odd prime p and any odd integer m. Their out-of-phase autocorrelation magnitude is the known optimal value for N≠ 2,4,8, and 16.},
keywords={},
doi={10.1587/transfun.E93.A.309},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - New Quaternary Sequences with Even Period and Three-Valued Autocorrelation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 309
EP - 315
AU - Jin-Ho CHUNG
AU - Yun Kyoung HAN
AU - Kyeongcheol YANG
PY - 2010
DO - 10.1587/transfun.E93.A.309
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2010
AB - In this paper we present a construction method for quaternary sequences from a binary sequence of even period, which preserves the period and autocorrelation of the given binary sequence. By applying the method to the binary sequences with three-valued autocorrelation, we construct new quaternary sequences with three-valued autocorrelation, which are balanced or almost balanced. In particular, we construct new balanced quaternary sequences whose autocorrelations are three-valued and have out-of-phase magnitude 2, when their periods are N=pm-1 and N≡ 2 (mod 4) for any odd prime p and any odd integer m. Their out-of-phase autocorrelation magnitude is the known optimal value for N≠ 2,4,8, and 16.
ER -
English
