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August  2009, 3(3): 265-271. doi: 10.3934/amc.2009.3.265

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, Turkey, Turkey

Received  March 2009 Revised  June 2009 Published  August 2009

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].
Keywords: Cyclic code, repeated-root cyclic code., negacyclic code.
Mathematics Subject Classification: Primary: 11T71, 94B15; Secondary: 94B0.
Citation: Hakan Özadam, Ferruh Özbudak. A note on negacyclic and cyclic codes of length $p^s$ over a finite field of characteristic $p$. Advances in Mathematics of Communications, 2009, 3 (3) : 265-271. doi: 10.3934/amc.2009.3.265
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