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A new optimal quaternary sequence family of length 2(2n − 1) obtained from the orthogonal transformation of Families \({\mathcal{B}}\) and \({\mathcal{C}}\)

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Abstract

In this paper, a general orthogonal transformation on the optimal quaternary sequence Families \({\mathcal{B}}\) and \({\mathcal{C}}\) is presented. Consequently, the known optimal Family \({\mathcal{D}}\) and a new optimal Family \({\mathcal{E}}\) are produced in a uniform method. In contrast to the known optimal Family \({\mathcal{D}}\) , the new Family \({\mathcal{E}}\) has the same parameters such as the sequence length 2(2n − 1), the family size 2n, and the maximal nontrivial correlation value \({2^{\frac{n+1}{2}}+2}\) , where n is a positive integer, but with a different correlation function.

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Authors and Affiliations

  1. Provincial Key Lab of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China

    Xiaohu Tang & Pingzhi Fan

  2. The Selmer Center, Department of Informatics, University of Bergen, PB 7803, 5020, Bergen, Norway

    Tor Helleseth

Authors
  1. Xiaohu Tang
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  2. Tor Helleseth
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  3. Pingzhi Fan
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Correspondence to Xiaohu Tang.

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Communicated by P. Wild.

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Tang, X., Helleseth, T. & Fan, P. A new optimal quaternary sequence family of length 2(2n − 1) obtained from the orthogonal transformation of Families \({\mathcal{B}}\) and \({\mathcal{C}}\) . Des. Codes Cryptogr. 53, 137–148 (2009). https://doi.org/10.1007/s10623-009-9294-y

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  • DOI: https://doi.org/10.1007/s10623-009-9294-y

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