Equidistant Rank Metric Codes: Construction and Properties

نویسندگان

  • R. S. SELVARAJ
  • JEJAW DEMAMU
چکیده

Abstract. This paper introduces a new construction for q-ary equidistant code C with rank metric where q is a power of 2. Investigations on structural properties of the proposed code are carried out. The highlight of the paper is that the kernel of the code C happens to be an equidistant constant-weight code of same size as C and is shown to be C+ C. The bounds on number of steps that are required to construct the equidistant code are also given. Moreover, our construction is independent of the choice of metric, though our investigation mainly focuses about rank metric.

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تاریخ انتشار 2010