On codes over rings invariant under affine groups

Kanat Abdukhalikov

doi:10.3934/amc.2013.7.253

Article Contents

2013, Volume 7, Issue 3: 253-265. Doi: 10.3934/amc.2013.7.253

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On codes over rings invariant under affine groups

Kanat Abdukhalikov^1,

1.
Institute of Mathematics, 125 Pushkin Str., Almaty 050010

Received: December 2011

Revised: March 2013

Published: August 2013

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Abstract

We give a description of extended cyclic codes of length $p^n$ over a field and over the ring of integers modulo $p^e$ admitting the affine group $AGL_m(p^t)$, $n=mt$, as a permutation group.

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Mathematics Subject Classification: Primary: 94B15, 20B25, 94B60; Secondary: 20G40.

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References

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