Design of T-Direct codes over GF(2N) with increased users

This paper presents design of T-Direct codes over GF(2N) with increased users. The class of T-Direct codes are an extension to the class of linear codes with complementary duals (LCD codes) and can be effectively used over a multiple access channel environment. In this paper, a construction procedur...

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Bibliographic Details
Published in:Finite fields and their applications 2019-01, Vol.55, p.202-215
Main Authors: Devi, Meenakshi, Raja Durai, R.S., Xu, Hongjun
Format: Article
Language:English
Subjects:
[formula omitted]-Direct codes
Finite fields
Kronecker product
LCD codes
MRD codes
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Summary:This paper presents design of T-Direct codes over GF(2N) with increased users. The class of T-Direct codes are an extension to the class of linear codes with complementary duals (LCD codes) and can be effectively used over a multiple access channel environment. In this paper, a construction procedure that constructs an n3-Direct code from an n-Direct code is described. An nn-Direct codes are also constructed. Further, a recursive construction procedure is presented that constructs n3m-Direct codes for m≥0. Finally, TT-Direct codes with constituent codes having variable code rates are obtained. The advantage of these constructions is that it increases the number of constituent codes (users) of an existing T-Direct code, thereby supporting more users in a multi-user environment.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2018.10.005