Multishot Codes for Network Coding Using Rank-Metric Codes

Date Added: Apr 2010
Format: PDF

The multiplicative-additive finite-field matrix channel arises as an adequate model for linear network coding systems when links are subject to errors and erasures, and both the network topology and the network code are unknown. In a previous work the authors proposed a general construction of multishot codes for this channel based on the multilevel coding theory. Herein they apply this construction to the rank-metric space, obtaining multishot rank-metric codes which, by lifting, can be converted to codes for the aforementioned channel.