To obtain a program code generation support device, method, and the like, capable of generating a new program code, in particular, generating in accordance with an incorporating apparatus, by performing a further optimization on a program code. The movable elements are supported by guide skids and are in contact with the top sheet under pressure to separate the top sheet from the second sheet of the stack beneath it and displace the top sheet with respect to the second sheet in the direction of feed. The decoding system modifies the standard Tomlinson Harashima Precoding algorithm to adapt it for use in PCM modems.