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A special class of T-matrices

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Abstract

We introduce a special class of T-matrices, say, T 1, T 2, T 3, and T 4 satisfying

$$ T_1T_4-T_2T_3=(T_1T_2-T_2T_3)' $$

where A′ is the transpose of A, and prove that if there exist base sequences of lengths m + p, m + p, m, m(p odd), and T-matrices of order t of the special kind, there exist T-matrices of order t(2m + p). And we find T -matrices of the special kind of order t for t = 3, 5, 7, 9, 11, 13, 15, which can be used to generate a large family of T-matrices.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Huazhong Normal University, Wuhan, 430079, People’s Republic of China

    Guoxin Zuo & Mingyuan Xia

Authors
  1. Guoxin Zuo
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  2. Mingyuan Xia
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Correspondence to Guoxin Zuo.

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Communicated by Jonathan Jedwab.

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Zuo, G., Xia, M. A special class of T-matrices. Des. Codes Cryptogr. 54, 21–28 (2010). https://doi.org/10.1007/s10623-009-9306-y

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  • DOI: https://doi.org/10.1007/s10623-009-9306-y

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