A Secure Scheme for Wireless Sensor Networks Based on Symmetric Polynomials

Abstract

A security scheme for wireless sensor network based grids is given through using the symmetric polynomials. The sensing equilateral hexagon is divided into a number of sections called grids in which both ordinary sensor nodes and powerful sensor nodes are distributed evenly. All sensor nodes including the powerful sensor nodes and the ordinary sensor nodes establish their shared keys through utilizing different symmetric polynomials in each grid. All powerful sensor nodes set up their shared keys through using symmetric polynomials in whole sensing area. At last, all sensor nodes in the sensing area set up their keys directly or indirectly. Analysis demonstrates the wireless sensor network security has been improved. In the paper, we present a key management scheme based on grids for the wireless sensor networks security. This strategy partitions the equilateral hexagon which contains many concentric equilateral hexagons into various grids. All sensors, the powerful sensor nodes and the ordinary sensor nodes, are distributed in the whole sensing area evenly. In each grid, all sensor nodes including powerful sensor nodes and the ordinary sensor nodes set up their shared keys through employing the symmetric polynomials. In the same way, all powerful sensor nodes in the entire sensing area establish their common keys by using symmetric polynomials. Finally, all those sensor nodes in the entire sensing area establish their common keys directly or indirectly. Analysis and comparison demonstrate that this scheme improve the wireless sensor network security and network connectivity. The rest of this paper is organized as follows. In section two, location-based pairwise key establishment is given. Performance analysis for WSNs is given in the section three. The conclusion of this paper is in section four.