On a class of optimal nonbinary linear unequal-error-protection codes for two sets of messages
Robert H. Morelos-Zaragoza, Shu Lin · IEEE Transactions on Information Theory · 1994
Several authors have addressed the problem of designing good linear unequal error protection (LUEP) codes. However, very little is known about good nonbinary LUEP codes. The authors present a class of optimal nonbinary LUEP codes for two different sets of messages. By combining t-error-correcting Reed-Solomon (RS) codes and shortened nonbinary Hamming codes, they obtain nonbinary LUEP codes that protect one set of messages against any t or fewer symbol errors and the remaining set of messages against any single symbol error. For t/spl ges/2, they show that these codes are optimal in the sense of achieving the Hamming lower bound on the number of redundant symbols of a nonbinary LUEP code with the same parameters.>