WSN key management scheme based on fully bomomorphic encryption

Improving the safe WSN's real-time, energy consumption, and anti-leak is an important research problem. Based on specific operations as addition, multiplication, and so on. Fully homomorphic encryption can manipulate the ciphertext directly to get the correct results without decryption. Because fully homomorphic encryption's process of the decryption can be omitted, the safe WSN's characteristics such as real-time and so on can be improved effectively. Key management is an important problem of fully homomorphic encryption, in which the ability to anti-capture in WSN comes first. In this paper, based on the calculation algorithm of two element symmetrical polynomials proposed by Blundo, we propose a pairwise key establishment scheme by introducing fully homomorphic encryption, which does not only prevent enemy intercepting information about polynomial relation, but also resist the large-scale node capture attack successfully. Analysis and experiments show that this scheme can totally meet the requirements of resource, energy consumption and so on of WSN, and improve the security of WSN at the meantime.