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Since Al-Riyami and Paterson presented certificateless cryptography, many certificateless schemes have been proposed for different purposes. In this paper, the authors present a certificateless group oriented signature scheme based on bilinear pairing. In the scheme, only the members in the same group with the signer can independently verify the signature. They prove the signature scheme is existential unforgeability under adaptive chosen message attack in random oracle model. Digital signature is a fundamental cryptographic tool for providing authenticity in communications. To ensure the relationship between a public key and the identity of the holder of the corresponding private key, a certificate signed by CA (Certification Authority) is employed in traditional public key system. However, certification distribution induces additional overload and some potential security issues.
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