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On p-Ary Local Frobenius Rings and their Homogeneous Weights |
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PP: 2109-2116 |
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doi:10.18576/amis/100614
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Author(s) |
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Bahattin Yildiz,
Makarim Abdlwahed Abdljabbar,
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Abstract |
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| 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. |
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