A communications system, having a combination Reed-Solomon encoder and a Turbo-Code encoder Data frame configuration which may be changed to accommodate embedded submarkers of known value are embedded in with the data order to aid synchronization in the receiver system, by providing strings of known symbols. The topsheet has an opening positioned to allow exuded fecal material to pass therethrough when the article is worn by a wearer. Furthermore, a process for producing a lithographic printing plate is provided that includes a step of discharging the ink composition onto a hydrophilic support and a step of irradiating the discharged ink composition with actinic radiation so as to cure the ink composition, thus forming a hydrophobic image on the hydrophilic support by curing the ink composition. Once all pixels are encoded, the color palette is optimized using the probability distribution, and the indices into the color palette for the pixels are compressed. The subminiature imaging optical system including: a first lens having positive refractive power and both convex surfaces; a second lens having negative refractive power and a concave image-side surface; a third lens having negative refractive power and a meniscus shape with a convex image-side surface; and a fourth lens having negative refractive power.