New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced s...New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced systematically from the discrete zero curvature representation of the Toda hierarchy. Also a discrete zero curvature representation for the Toda hierarchy with sources is presented.展开更多
Chen proposes a signature with message recovery which is called anauthenticated encryption scheme or simply a signcryption. In this short note, we show that Chen'ssignature scheme has some mistakes and propose thr...Chen proposes a signature with message recovery which is called anauthenticated encryption scheme or simply a signcryption. In this short note, we show that Chen'ssignature scheme has some mistakes and propose three modified versions.展开更多
文摘New family of integrable symplectic maps are reduced from the Toda hierarchy via constraint for a higher flow of the hierarchy in terms of square eigenfunctions.Their integrability and Lax representation are deduced systematically from the discrete zero curvature representation of the Toda hierarchy. Also a discrete zero curvature representation for the Toda hierarchy with sources is presented.
文摘Chen proposes a signature with message recovery which is called anauthenticated encryption scheme or simply a signcryption. In this short note, we show that Chen'ssignature scheme has some mistakes and propose three modified versions.
