A note on negacyclic and cyclic codes of length $p^s$ over a finite field of characteristic $p$

Hakan Özadam; Ferruh Özbudak

doi:10.3934/amc.2009.3.265

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2009, Volume 3, Issue 3: 265-271. Doi: 10.3934/amc.2009.3.265

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A note on negacyclic and cyclic codes of length $p^s$ over a finite field of characteristic $p$

Hakan Özadam^1, and
Ferruh Özbudak^1,

1.
Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ínönü Bulvarı, 06531, Ankara

Received: February 28, 2009

Revised: May 31, 2009

Published: July 2009

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Abstract

Recently, the minimum Hamming weights of negacyclic and cyclic codes of length $p^s$ over a finite field of characteristic $p$ are determined in [4]. We show that the minimum Hamming weights of such codes can also be obtained immediately using the results of [1].

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Mathematics Subject Classification: Primary: 11T71, 94B15; Secondary: 94B05.

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