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Upper and lower bounds on the weight distribution of overextended Reed-Solomon (OERS) codes are derived, from which tight upper and lower bounds on the probability of undetected error for OERS codes are obtained for -ary symmetric channels. Index Terms--ary symmetric channel, overextended Reed-Solomon (OERS) codes, probability of undetected error, weight distribution.doi:10.1109/itw.2006.1633800 dblp:conf/itw/HanSL06 fatcat:ok46jqwaqbbnfmay2vc6ekotwi