1. The weight distributions of a class of cyclic codes III
- Author
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Xiong, Maosheng
- Subjects
- *
DISTRIBUTION (Probability theory) , *SET theory , *ALGEBRAIC coding theory , *CYCLIC groups , *FINITE fields , *JACOBI method - Abstract
Abstract: Recently, the weight distributions of the duals of the cyclic codes with two zeros have been obtained for several cases in Ma et al. (2011) [10], Ding et al. (2011) [6], Wang et al. (2012) [15], Xiong (2012) [16,17]. 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. [Copyright &y& Elsevier]
- Published
- 2013
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