The secure issues of APK are very important in Android applications.In order to solve potential secure problems and copyrights issues in redevelopment of APK files,in this paper we propose a new APK redevelopment mech...The secure issues of APK are very important in Android applications.In order to solve potential secure problems and copyrights issues in redevelopment of APK files,in this paper we propose a new APK redevelopment mechanism(APK-SAN).By exploring sanitizable signature technology,APK-SAN allows the original developer to authorize specified modifier who can redevelop the designated source code of APK files.Our scheme does not require interactions between the developer and modifiers.It can reduce the communication overhead and computational overhead for developers.Especially,the signature of redeveloped APK files is valid and maintains the copyrights.The proposed APK-SAN signature can effectively protect the security of the redeveloped APK files and copyrights of the developer and modifier.展开更多
This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we ex- pose analytic proper...This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we ex- pose analytic properties of gauge-boson amplitudes, BCFW-deformations, the large z-behavior of amplitudes, and on-shell recursion relations of gluons. We discuss further developments of on-shell recursion relations, including generalization to other quantum field theories, supersymmetric theo- ties in particular, recursion relations for off-shell currents, recursion relation with nonzero boundary contributions, bonus relations, relations for rational parts of one-loop amplitudes, recursion relations in 3D and a proof of CSW rules. Finally, we present samples of applications, including solutions of split helicity amplitudes and of Af = 4 SYM theories, consequences of consistent conditions under re- cursion relation, Kleiss-Kuijf （KK） and Bern-Carrasco-Johansson （BCJ） relations for color-ordered gluon tree amplitudes, Kawai-Lewellen-Tye （KLT） relations.展开更多
基金This work was supported by the National Natural Science Foundation of China(No.61662004,61772437,61702427)National Natural Science Foundation of Guangxi(No.2016GXNSFAA380215)+1 种基金Sichuan Youth Science and Technique Foundation(No.2017JQ0048)EU ICT COST CryptoAction(No.IC1306).
文摘The secure issues of APK are very important in Android applications.In order to solve potential secure problems and copyrights issues in redevelopment of APK files,in this paper we propose a new APK redevelopment mechanism(APK-SAN).By exploring sanitizable signature technology,APK-SAN allows the original developer to authorize specified modifier who can redevelop the designated source code of APK files.Our scheme does not require interactions between the developer and modifiers.It can reduce the communication overhead and computational overhead for developers.Especially,the signature of redeveloped APK files is valid and maintains the copyrights.The proposed APK-SAN signature can effectively protect the security of the redeveloped APK files and copyrights of the developer and modifier.
文摘This article provides an introduction to on-shell recursion relations for calculations of tree-level amplitudes. Starting with the basics, such as spinor notations and color decompositions, we ex- pose analytic properties of gauge-boson amplitudes, BCFW-deformations, the large z-behavior of amplitudes, and on-shell recursion relations of gluons. We discuss further developments of on-shell recursion relations, including generalization to other quantum field theories, supersymmetric theo- ties in particular, recursion relations for off-shell currents, recursion relation with nonzero boundary contributions, bonus relations, relations for rational parts of one-loop amplitudes, recursion relations in 3D and a proof of CSW rules. Finally, we present samples of applications, including solutions of split helicity amplitudes and of Af = 4 SYM theories, consequences of consistent conditions under re- cursion relation, Kleiss-Kuijf （KK） and Bern-Carrasco-Johansson （BCJ） relations for color-ordered gluon tree amplitudes, Kawai-Lewellen-Tye （KLT） relations.
