Title :
On the Probability of Undetected Error for Over-Extended Reed-Solomon Codes
Author :
Han, Junsheng ; Siegel, Paul H. ; Lee, Patrick
Author_Institution :
Center for Magnetic Recording Research, University of California, San Diego, La Jolla, California 92093-0401, Email: han@cts.ucsd.edu
Abstract :
We derive upper and lower bounds on the weight distribution of Over-Extended Reed-Solomon (OERS) codes. Using these bounds, we obtain tight upper and lower bounds on the probability of undetected error for OERS codes on q-ary symmetric channels.
Keywords :
Block codes; Cyclic redundancy check; Drives; Equations; Error correction codes; Hamming weight; Lakes; Magnetic recording; Protection; Reed-Solomon codes;
Conference_Titel :
Information Theory Workshop, 2006. ITW '06 Punta del Este. IEEE
Conference_Location :
Punta del Este, Uruguay
Print_ISBN :
1-4244-0035-X
Electronic_ISBN :
1-4244-0036-8
DOI :
10.1109/ITW.2006.1633800
