  Low Rank Parity Check (LRPC) codes form a class of rank-metric
error-correcting codes that was purposely introduced to design public-key
encryption schemes. An LRPC code is defined from a parity check matrix whose
entries belong to a relatively low dimensional vector subspace of a large
finite field. This particular algebraic feature can then be exploited to
correct with high probability rank errors when the parameters are appropriately
chosen. In this paper, we present theoretical upper-bounds on the probability
that the LRPC decoding algorithm fails.
