Balanced (Almost) Binary Sequence Pairs of Period Q ≡ 1(mod 4) with Optimal Autocorrelation and Cross-Correlation
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- PENG Xiuping
- School of Information Science and Engineering, Yanshan University Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University
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- LI Hongxiao
- School of Information Science and Engineering, Yanshan University Hebei Key Laboratory of Information Transmission and Signal Processing, Yanshan University
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- LIN Hongbin
- School of Electrical Engineering, Yanshan University
抄録
<p>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.</p>
収録刊行物
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E105.A (5), 892-896, 2022-05-01
一般社団法人 電子情報通信学会
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詳細情報 詳細情報について
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- CRID
- 1390573407599650432
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- NII論文ID
- 130008119437
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- ISSN
- 17451337
- 09168508
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 使用不可