There are settings where encryption must be performed by a sender under a time constraint. This paper de-scribes an encryption/decryption algorithm based on modular arithmetic of complex integers called Gaus-sians. It...There are settings where encryption must be performed by a sender under a time constraint. This paper de-scribes an encryption/decryption algorithm based on modular arithmetic of complex integers called Gaus-sians. It is shown how cubic extractors operate and how to find all cubic roots of the Gaussian. All validations (proofs) are provided in the Appendix. Detailed numeric illustrations explain how to use the method of digital isotopes to avoid ambiguity in recovery of the original plaintext by the receiver.展开更多
In order to transfer large les and provide high-quality services in the IoV(Internet of Vehicles),intelligent routing and scheduling are indispensable for fast transfers and effcient network utilization,particularly w...In order to transfer large les and provide high-quality services in the IoV(Internet of Vehicles),intelligent routing and scheduling are indispensable for fast transfers and effcient network utilization,particularly when multi-path routing is allowed in the wired-transfer.Thus,a network administrator must select a set of feasible paths over which the transfer can be conducted.We consider a TBTS(Time-constrained Big-le Transfer Scheduling)problem in this paper.We prove that TBTS problem is NP-hard and that the TBTS problem can be solved by addressing a corresponding maximum ow over time problem with multi-path routing technique.We then propose both a heuristic algorithm(TBTS-H)and an exact algorithm(TBTS-A)to solve the TBTS problem.Although both of the proposed approaches can solve the TBTS problem,the heuristic runs more effciently by trading accuracy for delay,while the exact algorithm can achieve high accuracy for delay,at the cost of increased running-time.The corresponding simulation results illustrate this trade-o.Additionally,we conduct some comparisons between our proposed approaches and a traditional single-path routing scheme.展开更多
文摘There are settings where encryption must be performed by a sender under a time constraint. This paper de-scribes an encryption/decryption algorithm based on modular arithmetic of complex integers called Gaus-sians. It is shown how cubic extractors operate and how to find all cubic roots of the Gaussian. All validations (proofs) are provided in the Appendix. Detailed numeric illustrations explain how to use the method of digital isotopes to avoid ambiguity in recovery of the original plaintext by the receiver.
基金This work is supported by the National Natural Science Foundation of China(Nos.61671142,61101121,61373159).
文摘In order to transfer large les and provide high-quality services in the IoV(Internet of Vehicles),intelligent routing and scheduling are indispensable for fast transfers and effcient network utilization,particularly when multi-path routing is allowed in the wired-transfer.Thus,a network administrator must select a set of feasible paths over which the transfer can be conducted.We consider a TBTS(Time-constrained Big-le Transfer Scheduling)problem in this paper.We prove that TBTS problem is NP-hard and that the TBTS problem can be solved by addressing a corresponding maximum ow over time problem with multi-path routing technique.We then propose both a heuristic algorithm(TBTS-H)and an exact algorithm(TBTS-A)to solve the TBTS problem.Although both of the proposed approaches can solve the TBTS problem,the heuristic runs more effciently by trading accuracy for delay,while the exact algorithm can achieve high accuracy for delay,at the cost of increased running-time.The corresponding simulation results illustrate this trade-o.Additionally,we conduct some comparisons between our proposed approaches and a traditional single-path routing scheme.
