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Weil-Serre Type Bounds for Cyclic Codes

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2 Author(s)
Guneri, C. ; Fac. of Eng. & Natural Sci., Sabanci Univ., Istanbul ; Ozbudak, F.

We give a new method in order to obtain Weil-Serre type bounds on the minimum distance of arbitrary cyclic codes over Fpe of length coprime to p, where e ges 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.

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Information Theory, IEEE Transactions on  (Volume:54 ,  Issue: 12 )