Abstract
An evolution of wireless technology created tremendous change in this era. Large quantities of messages are registered, altered and transmitted through wireless or network cable by fixed devices. Privacy of the transmitted message is a main concern in networks. A diversified encryption algorithm has been suggested in these years to preserve the message. We take the cyclic graph and label the edges with the Padovan sequence. The computation of the closed trail matrix is applied in matrix inversion algorithms to get the cipher text. The usage of the symmetric key is applied in the encryption and decryption process. This paper proposes matrix inversion algorithms to transfer the message from sender to receiver. And also we applied SageMath algorithm for drawing the cyclic graphs. The result shows that the proposed algorithm gives enhanced security and efficiency when correlated with existing algorithms.
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