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Published in:
31-05-2017 | Original Research
On LCD repeated-root cyclic codes over finite fields
Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2018
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Abstract
In this paper, we investigate the LCD repeated-root cyclic codes of length \(n=n'p^r\) over the finite field \(\mathbb {F}_q\), where gcd\((n',p)=1\). We give a necessary and sufficient condition for a repeated-root cyclic code to be LCD over \(\mathbb {F}_q\). We also determine the minimum distance of LCD repeated-root cyclic codes over \(\mathbb {F}_q\). Finally, we give the enumeration of LCD repeated-root cyclic codes of length n over \(\mathbb {F}_q\).