Complex nested if-then statement on data objects in a digital computer are organized as a plurality of logical case statements; for each case statement, a set of binary condition arrays is provided and for each data object a condition set. The authenticating system comprises the combination of a security paper together with a coordinated applicator. Next, a first lid that contains electronic components that are electrically connected to the sensor in the housing via an electronic cable is removed by detaching the electric cable from the electronic components of the lid. The extractedcoded truncated quantization matrix is decoded into a one dimensional array that comprises elements of a truncated quantization matrix. The CPU sequentially reads out from the CD-ROM the map data for each grid unit within the map region to be stored and sequentially writes the grid units of map data into the SD memory card.