Codes Endowed With the Rank Metric
نویسندگان
چکیده
We review the main results of the theory of rank-metric codes, with emphasis on their combinatorial properties. We study their duality theory and MacWilliams identities, comparing in particular rank-metric codes in vector and matrix representation. We then investigate the combinatorial structure of MRD codes and optimal anticodes in the rank metric, describing how they relate to each other.
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عنوان ژورنال:
- CoRR
دوره abs/1710.02067 شماره
صفحات -
تاریخ انتشار 2017