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Network coding can improve network transmission performance and reduce data transmission delay. However, the nodes in network are vulnerable to pollution attacks. Previous network coding schemes are based on difficult problems in number theory and cannot resist the quantum computing attacks. Hence, certificateless multi-source signcryption with lattice (LCL-MSSC) is devised for network coding, it uses common public key to verify the combination ciphertext from different source node users. Based on learning with errors and inhomogeneous small integer solution problems, LCL-MSSC is unforgeable under the adaptive chosen-message attacks and indistinguishable under the adaptive chosen-ciphertext attacks; in addition, it can resist the pollution attacks and quantum computing attacks. Efficient LCL-MSSC has broad application prospect in UAV wireless communication network, mobile wireless network, wireless sensor network or cyberspace security. [ABSTRACT FROM AUTHOR]

Network coding can save the wireless network resources and improve the network throughput by combining the routing with coding. Traditional multisignature from certificateless cryptosystem is not suitable for the network coding environment. In this paper, we propose a certificateless multisignature scheme suitable for network coding (NC-CLMSS) by using the sequential multisignature and homomorphic hash function. NC-CLMSS is based on the CDH and ECDL problems, and its security is detailedly proved in the random oracle (RO) model. In NC-CLMSS, the source node generates a multisignature for the message, and the intermediate node linearly combines the receiving message. NC-CLMSS can resist the pollution and forgery attacks, and it has the fixed signature length and relatively high computation efficiency. [ABSTRACT FROM AUTHOR]

Traditional certificateless ring signature is not suitable for the network coding environment. In this view, a new certificateless network coding ring signature (CL-NCRS) is devised by using the techniques of multisource network coding and certificateless ring signature. Network coding is a kind of information interaction technology and can improve system robustness and save wireless network resources. CL-NCRS satisfies the unforgeability and unconditional anonymity; moreover, it has relatively higher communication and computational efficiency. [ABSTRACT FROM AUTHOR]

• In this paper, we construct the first certificateless ring signcryption for multi-source network coding (MSNC CLRSC) , which is a secure and efficient scheme. In MSNC CLRSC, the private key is used to sign the message vector; and the signed message vector is transmitted to the receiving nodes that can combine and verify the signcrypted ciphertext without the private key of actual signcrypter; furtherly, the receiving nodes filter out the polluted information. MSNC CLRSC has broad application prospects in 5G wireless network, UAV wireless communication network, wireless ad hoc network and wireless sensor network. Network coding can make the intermediate nodes encode the messages, and it has the merits of large network throughput, high resource utilization rate and strong system robustness. Traditional certificateless ring signcryption cannot be used in the network coding environment, so we construct one certificateless ring signcryption for multi-source network coding (MSNC CLRSC), in which actual signcrypter can anonymously signcrypt a message on behalf of a group of users including himself. MSNC CLRSC is provably confidential and unforgeable under the hardness of the co-decisional bilinear Diffie-Hellman and co-computational Diffie-Hellman problems in the random oracle model; moreover, it can resist the pollution attacks and has relatively low computation complexity. [ABSTRACT FROM AUTHOR]

Network coding is a kind of information interaction technology which combines the routing with coding, and it can improve the system robustness and save the wireless network resources. However, the traditional ring signcryption is not suitable for network coding and quantum computing settings. In view of this, we propose a certificateless anti-quantum ring signcryption for network coding (NC-CLAQRSC), which is devised based on the small integer solution and learning with errors problems. NC-CLAQRSC satisfies the confidentiality and existential unforgeability. NC-CLAQRSC has high communication efficiency and low computation cost. [ABSTRACT FROM AUTHOR]

Comparison with traditional network routing technology, multi-source network coding allows the routers to encode the received data and has the merits of large throughput, strong robustness and fast speed. In addition, certificateless public key cryptosystem (CL-PKC) is both certificate-free and key escrow-free. From now, there is no certificateless signature suitable for multi-source network coding (MSNC-CLS). In view of its wide application in practice, we construct an MSNC-CLS by applying the technique of certificateless signature to the environments of multi-source network coding. In MSNC-CLS, the use of generation can defend the replay attacks and the homomorphism of hash function can simplify the verification process of intermediate nodes. Generation identifier can make the intermediate nodes judge the generation property of message, thus the intermediate nodes can decide whether they encode the message. Analysis shows MSNC-CLS can resist the pollution and forgery attacks; moreover, it has better computation performance than the existing schemes. [ABSTRACT FROM AUTHOR]