Abstract: Linear Unequal Error Protection (UEP) codes were proposed by Masnick et al. and largely developed by Dunning et al. and Gils. On the other hand, random linear network coding is recently studied by many researchers. Kotter et al. proposed a new coding technique named subspace codes and applied it to random linear network coding. Moreover, Silva et al. proposed constructions of subspace codes using rank metric codes. In this paper, we propose subspace UEP codes and apply them to the random linear network coding. Then, we propose rank metric UEP codes and constructions of the subspace UEP codes using the rank metric UEP codes.
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