The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the cha...The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the characteristic is obtained. Thus, the partial generation algorithm of generalized linear orthomorphism is achieved. The counting formula of the linear orthomorphism in the vector space over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphism generated and discussed in this paper can gain the maximum branch number when they are designed as P-permutations.展开更多
Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalize...Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalized Walsh spectrum of multi-output functions and the auto-correlation function of multi-output functions to investigate the Walsh spectral characteristics and the auto-correlation function characteristics of orthormophic permutations, several results are obtained.展开更多
This proposed system is based on the following considerations:Ⅰ.Suitable projectionⅡ.Systematic indexⅢ.Facility of combiningⅣ.Easy referenceⅤ.Economic reproduction.Ⅰ.Suitable Projection.The Lambert Projection is...This proposed system is based on the following considerations:Ⅰ.Suitable projectionⅡ.Systematic indexⅢ.Facility of combiningⅣ.Easy referenceⅤ.Economic reproduction.Ⅰ.Suitable Projection.The Lambert Projection is selected because that:1.it is an orthomorphic projection and therefore in any small portion of a map,the shape of the topographic detail is preserved.展开更多
基金Supported by the National Natural Science Foundation of China (60970115, 91018008)
文摘The conception of orthomorphism has been generalized in this paper, and a counting formula on the generalized linear orthomorphism in the vector space over the Galois field with the arbitrary prime number p as the characteristic is obtained. Thus, the partial generation algorithm of generalized linear orthomorphism is achieved. The counting formula of the linear orthomorphism in the vector space over the finite field with characteristic 2 is the special case in our results. Furthermore, the generalized linear orthomorphism generated and discussed in this paper can gain the maximum branch number when they are designed as P-permutations.
基金Supported by State Key Laboratory of InformationSecurity Opening Foundation(01-02) .
文摘Orthomorphic permutations have good characteristics in cryptosystems. In this paper, by using of knowledge about relation between orthomorphic permutations and multi-output functions, and conceptions of the generalized Walsh spectrum of multi-output functions and the auto-correlation function of multi-output functions to investigate the Walsh spectral characteristics and the auto-correlation function characteristics of orthormophic permutations, several results are obtained.
文摘This proposed system is based on the following considerations:Ⅰ.Suitable projectionⅡ.Systematic indexⅢ.Facility of combiningⅣ.Easy referenceⅤ.Economic reproduction.Ⅰ.Suitable Projection.The Lambert Projection is selected because that:1.it is an orthomorphic projection and therefore in any small portion of a map,the shape of the topographic detail is preserved.
