# American Institute of Mathematical Sciences

February  2009, 3(1): 83-95. doi: 10.3934/amc.2009.3.83

## The two covering radius of the two error correcting BCH code

 1 University of Kentucky, 779A F. Paul Anderson Tower, Lexington, KY 40506-0046 2 Eastern Illinois University, 600 Lincoln Avenue, Charleston, IL 61920-3099, United States

Received  October 2008 Revised  January 2009 Published  January 2009

The $m$-covering radii of codes are natural generalizations of the covering radii of codes. In this paper we analyze the 2-covering radii of double error correcting BCH code. In particular, we show that the 2-covering radius of the double error correcting BCH code is $(n+1)/2$ for sufficiently large $n$.
Citation: Andrew Klapper, Andrew Mertz. The two covering radius of the two error correcting BCH code. Advances in Mathematics of Communications, 2009, 3 (1) : 83-95. doi: 10.3934/amc.2009.3.83
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