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New completely regular q-ary codes based on Kronecker products
- 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