We investigate constructions of rate-compatible, finite-length, non-binary
protograph-based codes in the short block-length regime.
First, high rate codes are constructed by partitioning a high degree check node
into several lower degree check nodes connected by punctured degree-2 nodes.
This approach allows a construction of codes of lower rates by transmitting the
punctured nodes, using replicated nodes, or using LT type graph structures with
degree-1 nodes. 
The resultant codes are structurally similar to the Raptor-like protograph
codes extended to non-binary fields. Large girth, cycle cancellation method, and
EXIT analysis are used to obtain codes with good performance. Performance of
binary image of selected codes over AWGN is provided for short information
block-lengths.