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New completely regular q-ary codes based on Kronecker products

Authors :
Rifa, J.
Zinoviev, V. A.
Publication Year :
2008

Abstract

For any integer $\rho \geq 1$ 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 $\rho$ 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 $\rho$, which are not completely regular, is also given. In both constructions the Kronecker product is the basic tool that has been used.<br />Comment: 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.}}

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.0810.4993
Document Type :
Working Paper