This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept ...This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept of the degree of a polynomial system does not coincide with the usual one. The usual degenerate polynomial system of degree n+1 should be regarded as a system of degree n . Note that the definition is independent coordinate system. And, by this definition, some geometric properties concerning polynomial vector fields turn out to be evident.展开更多
A family of authentication codes with arbitration is constructed from unitary geometry,the parameters and the probabilities of deceptions of the codes are also computed.In a special case a perfect authentication code ...A family of authentication codes with arbitration is constructed from unitary geometry,the parameters and the probabilities of deceptions of the codes are also computed.In a special case a perfect authentication code with arbitration is obtained.展开更多
文摘This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept of the degree of a polynomial system does not coincide with the usual one. The usual degenerate polynomial system of degree n+1 should be regarded as a system of degree n . Note that the definition is independent coordinate system. And, by this definition, some geometric properties concerning polynomial vector fields turn out to be evident.
文摘A family of authentication codes with arbitration is constructed from unitary geometry,the parameters and the probabilities of deceptions of the codes are also computed.In a special case a perfect authentication code with arbitration is obtained.
