The structure of doubly periodic arrays over finite field F as an F[x,y]-module is studied.The necessary and sufficient conditions for the modules of doubly periodic arrays to be cyclic are given.
Biometric identification systems are principally related to the information security as well as data protection and encryption. The paper proposes a method to integrate biometrics data encryption and authentication in...Biometric identification systems are principally related to the information security as well as data protection and encryption. The paper proposes a method to integrate biometrics data encryption and authentication into error correction techniques. The normal methods of biometric templates matching are replaced by a more powerful and high quality identification approach based on Grobner bases computations. In the normal biometric systems, where the data are always noisy, an approximate matching is expected;however, our cryptographic method gives particularly exact matching.展开更多
This paper proposes an algorithm for the detection of improper parameterization of rational curves using the concept of Grobner bases. The advantage of the proposed algorithm lies in the fact that the Grobner bases ca...This paper proposes an algorithm for the detection of improper parameterization of rational curves using the concept of Grobner bases. The advantage of the proposed algorithm lies in the fact that the Grobner bases can operate in both univariate and multivariate fields with specified ordering.展开更多
This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new re...This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new results on linear recurring arrays.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘The structure of doubly periodic arrays over finite field F as an F[x,y]-module is studied.The necessary and sufficient conditions for the modules of doubly periodic arrays to be cyclic are given.
文摘Biometric identification systems are principally related to the information security as well as data protection and encryption. The paper proposes a method to integrate biometrics data encryption and authentication into error correction techniques. The normal methods of biometric templates matching are replaced by a more powerful and high quality identification approach based on Grobner bases computations. In the normal biometric systems, where the data are always noisy, an approximate matching is expected;however, our cryptographic method gives particularly exact matching.
文摘This paper proposes an algorithm for the detection of improper parameterization of rational curves using the concept of Grobner bases. The advantage of the proposed algorithm lies in the fact that the Grobner bases can operate in both univariate and multivariate fields with specified ordering.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 19831070 and 60083002).
文摘This is a small survey of applications of the theory of Grobner bases to the study of linear recurring arrays. It applies some properties of Grobner bases to studying linear recurring arrays and contains recent new results on linear recurring arrays.
基金Supported by the Science and Technology Project Affiliated to the Education Department of Chongqing Municipality(KJ15012004)Scientific Research Innovation Team Project Affiliated to Yangtze Normal University(2016XJTD01)Science and Technology Plan Projects of Fuling Grant(FLKJ2015ABA1031)
