The Interactive Intemet TV Project is intended to be a web tool for publishing, indexing and viewing videos; that offers ontology based recommendations. The application has been developed and tested as a platform for ...The Interactive Intemet TV Project is intended to be a web tool for publishing, indexing and viewing videos; that offers ontology based recommendations. The application has been developed and tested as a platform for e-learning in a univerasity context and in Optiva Media Company. It combines expertise in education and television to develop a prototype,., where the contents are generated using an automatic recommendation model based on personal profiles of each user; and that can be accessed from different devices： computers, mobile phones and so on.展开更多
The isomorphism of polynomials （IP）, one of the hard problems in multivariate public key cryptography induces an equivalence relation on a set of systems of polynomials. Then the enumeration problem of IP consists o...The isomorphism of polynomials （IP）, one of the hard problems in multivariate public key cryptography induces an equivalence relation on a set of systems of polynomials. Then the enumeration problem of IP consists of counting the numbers of different classes and counting the cardinality of each class that is highly related to the scale of key space for a multivariate publi9 key cryptosystem. In this paper we show the enumeration of the equivalence classes containing ∑n-1 i=0 aiX^2qi when char（Fq） = 2, which implies that these polynomials are all weak IP instances. Moreover, we study the cardinality of an equivalence class containing the binomial aX2qi ＋ bX2qj （i ≠ j） over Fqn without the restriction that char（Fq） = 2, which gives us a deeper understanding of finite geometry as a tool to investigate the enumeration problem of IP.展开更多
文摘The Interactive Intemet TV Project is intended to be a web tool for publishing, indexing and viewing videos; that offers ontology based recommendations. The application has been developed and tested as a platform for e-learning in a univerasity context and in Optiva Media Company. It combines expertise in education and television to develop a prototype,., where the contents are generated using an automatic recommendation model based on personal profiles of each user; and that can be accessed from different devices： computers, mobile phones and so on.
基金supported by National Basic Research Program of China (973 Program)(Grant No. 2011CB302400)National Natural Science Foundation of China (Grant No. 60970152)Grand Project of Institute of Software (Grant No. YOCX285056)
文摘The isomorphism of polynomials （IP）, one of the hard problems in multivariate public key cryptography induces an equivalence relation on a set of systems of polynomials. Then the enumeration problem of IP consists of counting the numbers of different classes and counting the cardinality of each class that is highly related to the scale of key space for a multivariate publi9 key cryptosystem. In this paper we show the enumeration of the equivalence classes containing ∑n-1 i=0 aiX^2qi when char（Fq） = 2, which implies that these polynomials are all weak IP instances. Moreover, we study the cardinality of an equivalence class containing the binomial aX2qi ＋ bX2qj （i ≠ j） over Fqn without the restriction that char（Fq） = 2, which gives us a deeper understanding of finite geometry as a tool to investigate the enumeration problem of IP.
