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 Complete weight enumerators of some classes of linear codes with a few weights Bull. Korean Math. Soc. 2018 Vol. 55, No. 3, 717-734 https://doi.org/10.4134/BKMS.b170079Published online May 31, 2018 Yiwei Liu, Zihui Liu Beijing Institute of Technology, Beijing Institute of Technology Abstract : By choosing defining set properly, several classes of linear codes with a few weights over the finite field $\mathbb{F}_{p}$ are constructed for an odd prime $p$, and the complete weight enumerators of these classes of codes are determined. Keywords : Gauss sum, trace function, authentication codes, secret sharing schemes, complete weight enumerators MSC numbers : 94B05 Downloads: Full-text PDF