Keywords ID-based cryptography;random oracle;provable security;signatures;proxy signatures;proxy multi-signatures;verifiably encrypted signature;hybrid verifiably encrypted signatures;

• 基于身分密码;随机谕示;可证安全;签名体制;代理签名体制;代理多重签名体制;可验证加密签名体制;混合可验证加密签名体制;