The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dalam makalah ini kami membentangkan kaedah pembinaan untuk jujukan kuaternari daripada jujukan binari tempoh genap, yang mengekalkan tempoh dan autokorelasi jujukan binari yang diberikan. Dengan menggunakan kaedah pada jujukan binari dengan autokorelasi tiga nilai, kami membina jujukan kuaternari baharu dengan autokorelasi tiga nilai, yang seimbang atau hampir seimbang. Khususnya, kami membina jujukan kuaternari seimbang baharu yang autokorelasinya bernilai tiga dan mempunyai magnitud luar fasa 2, apabila tempohnya N=pm-1 dan N≡ 2 (mod 4) untuk sebarang perdana ganjil p dan sebarang integer ganjil m. Magnitud autokorelasi luar fasa mereka ialah nilai optimum yang diketahui untuk N≠ 2,4,8, dan 16.
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Salinan
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
Salinan
@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},}
Salinan
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 -