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In this paper we investigate the decoder error probability (DEP) of bounded rank distance decoders for rank metric codes over two types of channels motivated by network coding. The first channel is a rank symmetric channel where additive errors with the same rank are equiprobable, and for the second and more general channel, errors with the same row or column space are equiprobable. For arbitrary...
Constant-dimension codes have recently received attention due to their significance to error control in noncoherent random network coding. In this paper, we show that constant- rank codes are closely related to constant-dimension codes and we study the properties of constant-rank codes. We first introduce a relation between vectors in GF(qm)n and subspaces of GF(q)m or GF(q)n, and use it to establish...
We evaluate the performance of two types of erasure coding schemes for broadcasting small files over erasure channels with low bandwidth. One type is based on maximal distance separable (MDS) codes, while the other type uses low-density parity-check codes. The channel model is relevant to a variety of applications, such as the bootstrapping phase of a wireless sensor network. Our results show that...
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