The Experts below are selected from a list of 14874 Experts worldwide ranked by ideXlab platform
Xiaohu Tang - One of the best experts on this subject based on the ideXlab platform.
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New Quaternary Sequences of even length with optimal auto-correlation
Science China Information Sciences, 2017Co-Authors: Yang Yang, Zhengchun Zhou, Xiaohu TangAbstract:Sequences with low auto-correlation property have been applied in code-division multiple access communication systems, radar and cryptography. Using the inverse Gray mapping, a Quaternary Sequence of even length N can be obtained from two binary Sequences of the same length, which are called component Sequences. In this paper, using interleaving method, we present several classes of component Sequences from twin-prime Sequences pairs or GMW Sequences pairs given by Tang and Ding in 2010; or two, three or four binary Sequences defined by cyclotomic classes of order 4. Hence we can obtain new classes of Quaternary Sequences, which are different from known ones, since known component Sequences are constructed from a pair of binary Sequences with optimal auto-correlation or Sidel’nikov Sequences.
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Balanced Quaternary Sequences Pairs of Odd Period With (Almost) Optimal Autocorrelation and Cross-Correlation
IEEE Communications Letters, 2014Co-Authors: Yang Yang, Xiaohu TangAbstract:In this letter, two lower bounds on the maximum cross-correlation magnitude of balanced Quaternary Sequence pairs with (almost) optimal autocorrelation are presented. The maximum cross-correlation magnitude of a balanced Quaternary Sequence pair of period N with the maximum out-of-phase autocorrelation magnitude √5, where N = 4f + 1 is a prime and f is an odd integer, is shown to be √N, achieving one of the new lower bounds.
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on the correlation distributions of the optimal Quaternary Sequence family cal u and the optimal binary Sequence family cal v
IEEE Transactions on Information Theory, 2011Co-Authors: Xiaohu Tang, Xiangyong ZengAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
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On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\cal U}$ and the Optimal Binary Sequence Family ${\cal V}$
IEEE Transactions on Information Theory, 2011Co-Authors: Nian Li, Xiangyong Zeng, Xiaohu Tang, Lei HuAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
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Generic Construction of Quaternary Sequences of Period $2N$ With Low Correlation From Quaternary Sequences of Odd Period $N$
IEEE Transactions on Information Theory, 2011Co-Authors: Xiaohu Tang, Tor HellesethAbstract:In this paper, a simple but generic method is proposed for transforming any family of Quaternary Sequences, with low correlation, of any odd period N to another family of Quaternary Sequences of period 2N with low correlation. As an application of the generic method to Sequence Family A, a new optimal Quaternary Sequence family with length 2(2n-1), family size 2n+1 , and maximal nontrivial correlation value 2[(n+1)/2]+2, where n is an odd integer, is obtained. Most notably, unlike all the known optimal Quaternary Sequence families, the new family has a unique property that the odd integers 1, 3 and the even integers 0, 2 are allocated alternatively in all the Sequences.
Xiangyong Zeng - One of the best experts on this subject based on the ideXlab platform.
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New construction method for Quaternary aperiodic, periodic, and Z-complementary Sequence sets
Journal of Communications and Networks, 2012Co-Authors: Fanxin Zeng, Xiangyong Zeng, Xiaoping Zeng, Zhenyu Zhang, Guixin Xuan, Lingna XiaoAbstract:Based on the known binary Sequence sets and Gray mapping, a new method for constructing Quaternary Sequence sets is presented and the resulting Sequence sets' properties are investigated. As three direct applications of the proposed method, when we choose the binary aperiodic, periodic, and Z-complementary Sequence sets as the known binary Sequence sets, the resultant Quaternary Sequence sets are the Quaternary aperiodic, periodic, and Z-complementary Sequence sets, respectively. In comparison with the method proposed by Jang et al., the new method can cope with either both the aperiodic and periodic cases or both even and odd lengths of sub-Sequences, whereas the former is only fit for the periodic case with even length of sub-Sequences. As a conSequence, by both our and Jang et al.'s methods, an arbitrary binary aperiodic, periodic, or Z-complementary Sequence set can be transformed into a Quaternary one no matter its length of sub-Sequences is odd or even. Finally, a table on the existing Quaternary periodic complementary Sequence sets is given as well.
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on the correlation distributions of the optimal Quaternary Sequence family cal u and the optimal binary Sequence family cal v
IEEE Transactions on Information Theory, 2011Co-Authors: Xiaohu Tang, Xiangyong ZengAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
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On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\cal U}$ and the Optimal Binary Sequence Family ${\cal V}$
IEEE Transactions on Information Theory, 2011Co-Authors: Nian Li, Xiangyong Zeng, Xiaohu Tang, Lei HuAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
Lei Hu - One of the best experts on this subject based on the ideXlab platform.
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On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\cal U}$ and the Optimal Binary Sequence Family ${\cal V}$
IEEE Transactions on Information Theory, 2011Co-Authors: Nian Li, Xiangyong Zeng, Xiaohu Tang, Lei HuAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
Kai-uwe Schmidt - One of the best experts on this subject based on the ideXlab platform.
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${\BBZ}_4$ -Valued Quadratic Forms and Quaternary Sequence Families
IEEE Transactions on Information Theory, 2009Co-Authors: Kai-uwe SchmidtAbstract:In this paper, Zopf4-valued quadratic forms defined on a vector space over GF(2) are studied. A classification of such forms is established, distinguishing Zopf4-valued quadratic forms only by their rank and whether the associated bilinear form is alternating. This result is used to compute the distribution of certain exponential sums, which occur frequently in the analysis of Quaternary codes and Quaternary Sequence sets. The concept is applied as follows. When t=0 or m is odd, the correlation distribution of family S(t), consisting of Quaternary Sequences of length 2 m-1, is established. Then, motivated by practical considerations, a subset S *(t) of family S(t) is defined, and the correlation distribution of family S *(t) is given for odd and even m.
Nian Li - One of the best experts on this subject based on the ideXlab platform.
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On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\cal U}$ and the Optimal Binary Sequence Family ${\cal V}$
IEEE Transactions on Information Theory, 2011Co-Authors: Nian Li, Xiangyong Zeng, Xiaohu Tang, Lei HuAbstract:Recently, new optimal Families S and U of Quaternary Sequences have been presented, and the optimal binary Sequence Family V obtained from Family S under Gray map has been investigated as well. The two Sequence Families U and V are optimal with respect to the well-known Sidelnikov bound and Welch bound, but their exact correlation distributions are not known until now. In this paper, their exact correlation distributions are completely determined in some cases by making use of exponential sums and the theory of Z4-valued quadratic forms.
