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$m\\geq 3$ be an odd integer and $p$ be an odd prime. % with $p-1=2^rh$, where $h$ is an odd integer.\n  In this paper, many classes of three-weight cyclic codes over $\\mathbb{F}_{p}$ are presented via an examination of the condition for the cyclic codes $\\mathcal{C}_{(1,d)}$ and $\\mathcal{C}_{(1,e)}$, which have parity-check polynomials $m_1(x)m_d(x)$ and $m_1(x)m_e(x)$ respectively, to have the same weight distribution, where $m_i(x)$ is the minimal polynomial of $\\pi^{-i}$ over $\\mathbb{F}_{p}$ for a primitive element $\\pi$ of $\\mathbb{F}_{p^m}$. %For $p=3$, the duals of five classes of t","authors_text":"Chunlei Li, Cunsheng Ding, Nian Li, Tor Helleseth","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-08-27T14:48:52Z","title":"On the weight distributions of several classes of cyclic codes from APN 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