The KCP. . series of memory are usually designed for specific systems, so they may not work on other systems.
From little technical details found so far, module KCP313NS8/4 appears to use higher density memory chips which is not really compatible with the Intel DH55PJ as the DH55PJ only supports lower density memory chip modules.
The list of compatible memory was given in the links above in the earlier post. If memory is chosen from any listed on the lists, then it is guaranteed to be compatible. Any memory NOT on the lists is usually considered to be incompatible, but that is not always the case. Some memory not listed on the compatibility lists may not have been tested (yet), so other memory might still be compatible anyway.