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Some new classes of cyclic codes with three or six weights

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  • In this paper, a class of three-weight cyclic codes over prime fields $\mathbb{F}_p$ of odd order whose duals have two zeros, and a class of six-weight cyclic codes whose duals have three zeros are presented. The weight distributions of these cyclic codes are derived.
    Mathematics Subject Classification: 94B15, 11T71.

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