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To guarantee the reliability and confidentiality of the collected data, secure data transmission in wireless body area network is required. In wireless body area network, a mutual authentication process has to be carried out between the controller and sensors to ensure their legitimacy, and a key distribution mechanism is required to secure communication after successful mutual authentication. Li et al. proposed a cryptographic solution, which allows group device pairing authentication and key agreement but has low authentication efficiency and key leakage problems. To address these issues, a group authentication and key distribution scheme is proposed in this article. It enables effectively mutual authentication between controller and sensors, supports all signatures of sensors in the group to be checked by the controller through aggregation verification to achieve efficient authentication, and allows key distribution during authentication to improve the computation efficiency. 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