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
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
基金Supported by NSFC (Nos.11771190,1861051,12071191)the Natural Science Foundation of Gansu Province (No.20JR5RA249)the Natural Science Foundation of Shandong Province (No.ZR2020MA002)。
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.
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.
