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Author Country (or Countries)

Turkey

Abstract

In this work, a characterization of different properties of p-ary local Frobenius rings and their generating characters is given. Using the generating character, a general form for the homogeneous weights of such rings is described. In particular it is shown that the homogenous weights of all such rings have two non-zero values. Moreover, distance-preserving, linear Gray maps for the homogeneous weights of some classes of p-ary local Frobenius rings are found and using the Gray image, many linear p-ary codes attaining the Griesmer bound are counstructed.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100614

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