Weil-Serre Type Bounds for Cyclic Codes

Date

2008-12-01

Author

GÜNERİ, CEM
Özbudak, Ferruh

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We give a new method in order to obtain Weil-Serre type hounds on the minimum distance of arbitrary cyclic codes over F(pe) of length coprime to p, where e >= 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 (BCH) bound and they yield the exact minimum distance in some cases.

Subject Keywords

Library and Information Sciences, Information Systems, Computer Science Applications

URI

https://hdl.handle.net/11511/42541

Journal

IEEE TRANSACTIONS ON INFORMATION THEORY

DOI

https://doi.org/10.1109/tit.2008.2006436

Collections

Department of Mathematics, Article

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Citation Formats

C. GÜNERİ and F. Özbudak, “Weil-Serre Type Bounds for Cyclic Codes,” IEEE TRANSACTIONS ON INFORMATION THEORY, pp. 5381–5395, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42541.