Weil-Serre type bounds for cyclic codes

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Güneri, Cem and Özbudak, Ferruh (2008) Weil-Serre type bounds for cyclic codes. IEEE Transactions On Information Theory, 54 (12). pp. 5381-5395. ISSN 0018-9448

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Official URL: http://dx.doi.org/10.1109/TIT.2008.2006436


We give a new method in order to obtain Weil-Serre type bounds on the minimum distance of arbitrary cyclic codes over $\mathbb{F}_{p^e}$ of length coprime to $p$, where $e\geq 1$ is an arbitrary integer. In an earlier paper we obtained Weil-Serre type bounds for such codes only when $e = 1$ or $e = 2$ using lengthy explicit factorizations, which seems hopeless to generalize. The new method avoids such explicit factorizations and it produces an effective alternative. Using our method we obtain Weil-Serre type bounds in various cases. By examples we show that our bounds perform very well against Bose-Chaudhuri-Hocquenghem bound and they yield the exact minimum distance in some cases.

Item Type:Article
Subjects:Q Science > QA Mathematics
ID Code:10914
Deposited By:Cem Güneri
Deposited On:06 Dec 2008 14:26
Last Modified:22 Jul 2019 11:59

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