A method and apparatus for representing complex data schemas and generating type validated output documents in a markup language. The Galois field processor includes a syndrome register block for storing syndrome values transmitted by a syndrome generating block, a correction polynomial register block, a connection polynomial register block, and a discrepancy register block. The die may be silicon or GaN based MOSFETs or integrated circuits or a mixture thereof. , in a position which is substantially perpendicular to the support plane. These common control channels are structured to meet the stringent low delay requirements for in-session access and are termed fast packet common control channels.