Error-correcting codes from $k$-resolving sets

25 Aug 2017 · Bailey Robert F., Yero Ismael G. ·

We demonstrate a construction of error-correcting codes from graphs by means of $k$-resolving sets, and present a decoding algorithm which makes use of covering designs. Along the way, we determine the $k$-metric dimension of grid graphs (i.e. Cartesian products of paths).