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arxiv: 1210.4493 · v1 · pith:G6Y2D2PWnew · submitted 2012-10-10 · 🧮 math.NT

The weight distributions of a class of cyclic codes III

classification 🧮 math.NT
keywords weightcodescyclicdistributionsproblemsumsbeencase
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Recently, the weight distributions of the duals of the cyclic codes with two zeros have been obtained for several cases. In this paper we solve one more special case. The problem of finding the weight distribution is transformed into a problem of evaluating certain character sums over finite fields, which in turn can be solved by using the Jacobi sums directly.

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