Abstract
The class of \(\mathcal{T}\)-Direct codes are an extension to the class of linear codes with complementary duals. In this paper, a construction procedure that constructs an n 2-Direct code from an n-Direct code is described. Further, the construction procedure is employed recursively to construct \(n^{2^{m+1}}\)-Direct codes for m ≥ 0. Finally, \(\mathcal{T}^{2}\)-Direct codes are obtained from arbitrary \(\mathcal{T}\)-Direct codes with constituent codes of variable rates. The proposed construction procedure, when employed on an existing \({\mathcal{T}}\)-Direct code, in fact increases the number of constituent codes (users), thereby supporting more users in a multi-user environment.
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Durai, R.S.R., Devi, M. (2014). Some Constructions of \(\mathcal{T}\)-Direct Codes over GF(2n). In: Thampi, S., Abraham, A., Pal, S., Rodriguez, J. (eds) Recent Advances in Intelligent Informatics. Advances in Intelligent Systems and Computing, vol 235. Springer, Cham. https://doi.org/10.1007/978-3-319-01778-5_13
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DOI: https://doi.org/10.1007/978-3-319-01778-5_13
Publisher Name: Springer, Cham
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