BOUNDS ON THE PR-ARY IMAGE OF LINEAR BLOCK CODES OVER FINITE SEMI-LOCAL FROBENIUS RING Fpr + vFpr

John Mark Lampos, Virgilio Sison

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.

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