Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such...Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such as lossless recovery,rather than the principle of Shamir’s polynomial-based SS scheme.In this paper,we introduce matrix theory to analyze Shamir’s polynomial-based scheme as well as propose a general(k,n)threshold SIS construction based on matrix theory.Besides,it is proved that Shamir’s polynomial-based SS scheme is a special case of our construction method.Both experimental results and analyses are given to demonstrate the effectiveness of the proposed construction method.展开更多
In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Mo...In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Morse theory and an index theory.展开更多
Comparing the theoretical ana1ysis with the experimental results the authors have proved that the uniformity of linear "and/or" gates mainly depends on imput voltage and load resistance. When imput voltage i...Comparing the theoretical ana1ysis with the experimental results the authors have proved that the uniformity of linear "and/or" gates mainly depends on imput voltage and load resistance. When imput voltage is low, the uniformity changes a little with the load resistance. When imput voltage is high, the smaller the load resistance is, the more obviously the uniformity changes with imput voltage.展开更多
文摘Shamir proposed a classic polynomial-based secret sharing(SS)scheme,which is also widely applied in secret image sharing(SIS).However,the following researchers paid more attention to the development of properties,such as lossless recovery,rather than the principle of Shamir’s polynomial-based SS scheme.In this paper,we introduce matrix theory to analyze Shamir’s polynomial-based scheme as well as propose a general(k,n)threshold SIS construction based on matrix theory.Besides,it is proved that Shamir’s polynomial-based SS scheme is a special case of our construction method.Both experimental results and analyses are given to demonstrate the effectiveness of the proposed construction method.
文摘In this paper,we consider an asymptotically linear second-order ordinary differential system with Dirchlet boundary value conditions. Under some conditions,we show the multiplicity of solutions to the system by the Morse theory and an index theory.
文摘Comparing the theoretical ana1ysis with the experimental results the authors have proved that the uniformity of linear "and/or" gates mainly depends on imput voltage and load resistance. When imput voltage is low, the uniformity changes a little with the load resistance. When imput voltage is high, the smaller the load resistance is, the more obviously the uniformity changes with imput voltage.
