中文摘要：

文章基于RSA（Rivest-Shamir-Adleman）密码体制，提出一种一般访问结构的秘密共享方案。为避免分发者的“权威欺骗”，方案中的参与者各自选择自己的秘密份额；在秘密恢复阶段，秘密恢复者利用秘密份额影子来恢复秘密，而不暴露秘密份额，因此秘密份额可重复使用；当共享秘密改变时，秘密份额不变，秘密分发者通过改变秘密影子，使得秘密份额能够共享多个秘密；同时，该方案能够验证参与者的欺骗行为。最后，通过理论分析和实例，证明了该方案的安全性和正确性。

英文摘要：

Based on the Rivest-Shamir-Adleman（RSA） cryptosystem, a new secret sharing scheme with genera/access structures is proposed. In this scheme, each participant selects a secret share by himself to avoid the ＂authority deception＂. In the recovery phase, the recuperator uses the secret share shadows to recover the secret and does not expose the secret shares, so the secret shares are reusable. The secret shares do not need to be changed when the shared secret is renewed. The secret share can be used in many secrets because the dealer changes the secret shadow. This scheme can also identify the participants＇ mutual cheating. Finally, the results of the theoretical analysis and the example show that the scheme is secure and correct.