利用离散对数问题的难解性 ,在假设初始化阶段和更新阶段始终有一位值得信赖的分发者参与的情况下 ,提出了一个防欺诈的矢量空间秘密共享方案 ,该方案包含防欺诈的门限方案作为其特殊情形 ,它在保持共享秘密不变的情况下定期对子秘密进行更新 ,每个参与者可以对自己的子秘密及其他成员出示的子秘密进行验证 ,不但能有效阻止敌手窃取秘密或子秘密 ,也能有效地防止内部成员之间的互相欺诈 .由于该方案在初始化阶段和子秘密更新阶段 ,始终有一位值得信赖的分发者参与 ,从而减少了数据传输量和总计算量 Using the difficulty of discrete logarithm problem, we propose a cheat-proof vector space secret sharing scheme which includes a fraud-proof threshold scheme under the assumption that there is always a trusted distributor involved in the initialization phase and the update phase. As a special case, it updates the sub-secrets periodically while maintaining the same shared secret. Each participant can verify his own sub-secret and other sub-secrets produced by other members. This not only effectively prevents the adversary from stealing the secret or Sub-secret, but also can effectively prevent the mutual fraud among internal members.Because the program in the initialization phase and sub-secret update phase, there is always a trusted distributor to participate, thus reducing the amount of data transfer and the total amount of computation