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This research work emerged as a new concept to provide robust security to the huge volume of information residing in DNA. In present scenario, security is being managed through symmetric key cryptography only. A new initiative has been taken to increase the robustness of DNA security. In this paper we are integrating public key cryptography inside traditional DNA security algorithm. The additional security is provided through a new algorithm as proposed, which takes advantage of residue theoremdoi:10.1109/jetcas.2013.2244772 fatcat:5zlmvtstpbalfg3eyeco2jykfu