Characterizing differential support of vectorial Boolean functions using the Walsh transform

Research and Development of Digital Work Ticket Information Sharing System Based on Mathematical Differential Improved Vector Space Model

“…The work ticket execution module includes work ticket issuing unit and work ticket permit unit; (1) Work ticket issuing unit for receiving generated work tickets, and judge whether the work ticket to be issued needs to be countersigned, if so, select the corresponding countersigner for electronic signature, after countersigning, the issued work ticket will be sent to the work ticket permit unit; Otherwise, the work ticket will be directly sent to the work ticket permit unit; (2) Work ticket permit unit, which is used to receive the issued work ticket and carry out the permission of security measures on it; The work ticket permit includes the confirmation of security measures, recording and photographing of the permit process, and the nullification of the work ticket before the completion of the permit [13] . Digital work ticket in the electronic signature, provide face recognition function, through face recognition to verify the current signature personnel is correct; When judging the qualification of the personnel in the digital work ticket, the qualification of the personnel to be verified is selected, and the personnel ID is sent to the PMS2.0 system to judge the qualification of the personnel, obtain personnel qualification information from the security risk management and control system periodically through "Task scheduling +webservice", through "Webservice" to push personnel qualification information to digital work tickets, digital work ticket in personnel arrangement, personnel signature, personnel change and other operations for personnel qualification judgment; Obtain personnel qualification information from the security risk management and control system at regular intervals (every 5 minutes) through "Task Scheduling +webservice", "webservice" is used to call the face database and face recognition judgment logic of the security risk management and control system in real time to obtain the return result of face recognition [14] . The digital work ticket controls the filling of the face information of the work ticket in each link of the work ticket, and the content that can be filled in each link is different [15][16] .…”

On the Number of Affine Equivalence Classes of Vectorial Boolean Functions and <i>q</i>-Ary Functions

“…Then any two functions in F q n,m are affine equivalent if and only if they are in the same A n,m -orbit. Many important cryptographic properties of vectorial Boolean functions are preserved by these two equivalence relations (see [14], [15] for instance).…”