New completely regular q-ary codes based on Kronecker products
Abstract
Description
For any integer $ρ\geq 1$ and for any prime power q, the explicit construction of a infinite family of completely regular (and completely transitive) q-ary codes with d=3 and with covering radius $ρ$ is given. The intersection array is also computed. Under the same conditions, the explicit construction of an infinite family of q-ary uniformly packed codes (in the wide sense) with covering radius $ρ$, which are not completely regular, is also given. In both constructions the Kronecker product is the basic tool that has been used.
Submitted to IT-IEEE. Theorem 1 in Section III was presented at the 2nd International Castle Meeting on Coding Theory and Applications (2ICMCTA), Medina del Campo, Spain, September 2008.}}
Submitted to IT-IEEE. Theorem 1 in Section III was presented at the 2nd International Castle Meeting on Coding Theory and Applications (2ICMCTA), Medina del Campo, Spain, September 2008.}}