The rapid progress in the internet requires multiple message communication over the wider area to improve the mobile network security. Due to the multiple message communication, the security is a most important concern in mobile network. The bilinear Certificate less Aggregate Signcryption Scheme guarantees the security under several attacks, and therefore provides security and non-repudiation. However, the multiple messages through a single operation are a difficult task to improve the network security. In addition, multilinear map based signcryption scheme provides the confidentiality and authenticity but it is complicated for handling when number of messages gets increased rapidly. In order to overcome the problem in multiple message communication, Exponentiated Multilinear Vectorized Certificateless Signcryption (EMV-CLSC) technique is introduced. The EMV-CLSC technique is used to verify the multiple messages through a single Signcryption process. An efficient certificate less signcryption technique performs the multiple message communication between senders andreceiver to ensure the network security. In EMV-CLSC, the multilinear vectorized model is applied for handling the high volume of data and multiple data format while distributing the message simultaneously. This helps to reduce the memory consumption while processing the multiple data. The proposed EMV-CLSC technique provably improves the security with public key verifiability and cipher text authenticity. Based on, the authorized users only access the network and the messages are protected. At last, the Broadcast message is secured using Digital Signature verification in uncsigncryption process. A certificate less signcryption process with multiple bits is used to highly secure the multiple messages using EMV-CLSC technique. This helps to protect the messages against the attacks and improve the mobile network security. An experimental result shows that the proposed EMV-CLSC technique improves the network security in terms of computational cost, memory consumption, communication overhead and secured message distributing rate compared to the state-of-the-art works.

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Certificateless-based signcryption overcomes inherent shortcomings in traditional Public Key Infrastructure (PKI) and Key Escrow problem. It imparts efficient methods to design PKIs with public verifiability and cipher text authenticity with minimum dependency. As a classic primitive in public key cryptography, signcryption performs validity of cipher text without decryption by combining authentication, confidentiality, public verifiability and cipher text authenticity much more efficiently than the traditional approach. In this paper, we first define a security model for certificateless-based signcryption called, Complex Conjugate Differential Integrated Factor (CC-DIF) scheme by introducing complex conjugates through introduction of the security parameter and improving secured message distribution rate. However, both partial private key and secret value changes with respect to time. To overcome this weakness, a new certificateless-based signcryption scheme is proposed by setting the private key through Differential (Diff) Equation using an Integration Factor (DiffEIF), minimizing computational cost and communication overhead. The scheme is therefore said to be proven secure (i.e. improving the secured message distributing rate) against certificateless access control and signcryption-based scheme. In addition, compared with the three other existing schemes, the CC-DIF scheme has the least computational cost and communication overhead for secured message communication in mobile network.