Abstract Multilevel secret sharing schemes are used in cryptography when a responsibility has to be delegated to qualified groups of participants rather than to a single one. In the present paper we propose a mathematical model for such a scheme based on projective geometry over a finite field. The main ingredients are normal rational curves and their osculating subspaces.

中文翻译：

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由正态有理曲线产生的多级秘密共享方案

摘要 当责任必须委派给合格的参与者组而不是单个参与者时，密码学中会使用多级秘密共享方案。在本文中，我们为这种基于有限域上的射影几何的方案提出了一个数学模型。主要成分是正规有理曲线及其密切子空间。