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Several classes of linear codes and their weight distributions

机译:几类线性码及其重量分布

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摘要

In this paper, several classes of two-weight or three-weight linear codes over Fp from quadratic or non-quadratic functions are constructed and their weight distributions are determined. From the constructed codes, we obtain some optimal linear codes with respect to the Singleton bound and the Griesmer bound. These two- or three-weight linear codes may have applications in secret sharing, authentication codes, association schemes and strongly regular graphs.
机译:在本文中,构造了来自二次或非二次函数的若干双重或三重线性码的若干类别,并且确定了它们的重量分布。 从构造的代码中,我们获得了一些相对于单身绑定的最佳线性码和GRIESER绑定。 这两个或三重线性代码可以具有秘密共享,认证代码,关联方案和强常规图中的应用程序。

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