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Generalized cyclotomic codes of length p1e(1)...pte(t)

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2 Author(s)
Cunsheng Ding ; Dept. of Comput. Sci., Nat. Univ. of Singapore, Singapore ; Helleseth, T.

We first introduce a generalized cyclotomy of order 2 with respect to p1e(1)...pte(t). We then present two classes of new error-correcting binary cyclic codes of length p1e(1)...pte(t) based on this generalized cyclotomy. We prove either a square-root bound or a similar bound on the minimum odd weight of those codes with length n=p 1e(1) p2e(2)

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Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 2 )