BOUNDS ON THE P R-ARY IMAGE OF LINEAR BLOCK CODES OVER FINITE SEMI-LOCAL FROBENIUS RING F pr + vFpr

Abstract

In this paper we give the structure of the pr-ary image with respect to an ordered basis of a linear block code over the semi-local Frobenius ring Rp = Fpr + vFpr, where v2 = v or 1. A homogeneous weight on Rp was constructed and distance bounds on the pr-ary image were derived. Further we show examples of new codes that meet these bounds.