IEICE TRANSACTIONS on Fundamentals
Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation
Summary :
In this letter, the almost binary sequence (sequence with a single zero element) is considered as a special class of binary sequence. Four new bounds on the cross-correlation of balanced (almost) binary sequences with period Q ≡ 1(mod 4) under the precondition of out-of-phase autocorrelation values {-1} or {1, -3} are firstly presented. Then, seven new pairs of balanced (almost) binary sequences of period Q with ideal or optimal autocorrelation values and meeting the lower cross-correlation bounds are proposed by using cyclotomic classes of order 4. These new bounds of (almost) binary sequences with period Q achieve smaller maximum out-of-phase autocorrelation values and cross-correlation values.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.5 pp.892-896
- Publication Date
- 2022/05/01
- Publicized
- 2021/11/22
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAL2080
- Type of Manuscript
- LETTER
- Category
- Coding Theory
Authors
Xiuping PENG
Yanshan University
Hongxiao LI
Yanshan University
Hongbin LIN
Yanshan University
Keyword
Latest Issue
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Xiuping PENG, Hongxiao LI, Hongbin LIN, "Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 5, pp. 892-896, May 2022, doi: 10.1587/transfun.2021EAL2080.
Abstract: In this letter, the almost binary sequence (sequence with a single zero element) is considered as a special class of binary sequence. Four new bounds on the cross-correlation of balanced (almost) binary sequences with period Q ≡ 1(mod 4) under the precondition of out-of-phase autocorrelation values {-1} or {1, -3} are firstly presented. Then, seven new pairs of balanced (almost) binary sequences of period Q with ideal or optimal autocorrelation values and meeting the lower cross-correlation bounds are proposed by using cyclotomic classes of order 4. These new bounds of (almost) binary sequences with period Q achieve smaller maximum out-of-phase autocorrelation values and cross-correlation values.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAL2080/_p
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@ARTICLE{e105-a_5_892,
author={Xiuping PENG, Hongxiao LI, Hongbin LIN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation},
year={2022},
volume={E105-A},
number={5},
pages={892-896},
abstract={In this letter, the almost binary sequence (sequence with a single zero element) is considered as a special class of binary sequence. Four new bounds on the cross-correlation of balanced (almost) binary sequences with period Q ≡ 1(mod 4) under the precondition of out-of-phase autocorrelation values {-1} or {1, -3} are firstly presented. Then, seven new pairs of balanced (almost) binary sequences of period Q with ideal or optimal autocorrelation values and meeting the lower cross-correlation bounds are proposed by using cyclotomic classes of order 4. These new bounds of (almost) binary sequences with period Q achieve smaller maximum out-of-phase autocorrelation values and cross-correlation values.},
keywords={},
doi={10.1587/transfun.2021EAL2080},
ISSN={1745-1337},
month={May},}
Copy
TY - JOUR
TI - Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 892
EP - 896
AU - Xiuping PENG
AU - Hongxiao LI
AU - Hongbin LIN
PY - 2022
DO - 10.1587/transfun.2021EAL2080
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2022
AB - In this letter, the almost binary sequence (sequence with a single zero element) is considered as a special class of binary sequence. Four new bounds on the cross-correlation of balanced (almost) binary sequences with period Q ≡ 1(mod 4) under the precondition of out-of-phase autocorrelation values {-1} or {1, -3} are firstly presented. Then, seven new pairs of balanced (almost) binary sequences of period Q with ideal or optimal autocorrelation values and meeting the lower cross-correlation bounds are proposed by using cyclotomic classes of order 4. These new bounds of (almost) binary sequences with period Q achieve smaller maximum out-of-phase autocorrelation values and cross-correlation values.
ER -
English
