期刊名称：International Journal of Computer Information Systems and Industrial Management Applications
印刷版ISSN：2150-7988
电子版ISSN：2150-7988
出版年度：2013
卷号：5
页码：589-596
出版社：Machine Intelligence Research Labs (MIR Labs)
摘要：A T -Direct code is defined as the set of T F-ary linearcodes 1; 2; : : : ; T such that i \ ?i= f0g, where ?i=1 2 i1 i+1 T is the dual of i withrespect to the direct sum = 1 2 T for each i =1, 2, . . . , T . In this paper, a construction to a class of T -Directcodes with the constituent codes from the class of 2-Cyclic MaximumRank Distance codes is given. These class of codes aredefined with a Rank metric. An application of the constructedclass of codes over the T -user F-Adder Channel, namely a codingscheme for the noisy case, is given. In an attempt to showthe usefulness of T -Direct codes as multi-user codes, a distanceconstruction method for the class of T -Direct codes constitutedby a set of T maximum rank distance codes is proposed. Theproposed distance construction is shown to increase the minimumdistance of the constituent codes of T -Direct codes whenemployed. Further, a construction procedure that constructs(n + m)-Direct codes over GF(2n) is developed from the proposeddistance construction, 0 < m n(n+1)2 . It is shownthat the extended distance construction procedure increases thenumber of users (constituent codes) of a T -Direct code; whenemployed on an n-Direct code, it constructs an n(n+1)2-Directcode, thereby supporting more users in a multi-user environment.
关键词：LCD codes; T -Direct codes; MRD codes; q-Cyclic;MRD codes; T -user F-Adder Channel; Kronecker product.
