Title :
On the Probability of Undetected Error for Overextended Reed–Solomon Codes
Author :
Junsheng Han ; SIEGEL, Peter H. ; Lee, P.
Author_Institution :
Center for Magnetic Recording Res., Univ. of California, La Jolla, CA
Abstract :
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 q-ary symmetric channels
Keywords :
Reed-Solomon codes; channel coding; error detection codes; error statistics; OERS code; overextended Reed-Solomon code; q-ary symmetric channel; undetected error probability; weight distribution; Block codes; Code standards; Cyclic redundancy check; Cyclic redundancy check codes; Disk drives; Error correction codes; Galois fields; Hamming weight; Protection; Universal Serial Bus; overextended Reed–Solomon (OERS) codes; probability of undetected error; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.876255
