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In this paper, we focus on devising secure data aggregation protocol by exploiting the concept of orthogonal set of rotation matrices and linear congruential generator (LCG). To suit the stringent property of sensors, our protocol provides acceptable level of security without any secret key pre-distribution. The level of security depends on the LCG based pseudo-random number and the change of angle of rotation matrix. We demonstrate the feasibility of our proposed scheme through analysis.