关键词: 线性码, 第三方攻击, 密钥协商, 门限, 多重秘密, 认证

Abstract: Key management is an important field in information security. Key agreement is one of the core problems in the key management．A new computationally secure threshold multi-secret key agreement scheme with authority based on the theory of linear codes was introduced．The scheme makes the users share the secret key, and does not need to be based on discrete logarithm. The set of participants to perform key agreement should satisfy threshold. In the scheme, multi-secret key can be initiated in one key agreement session. The scheme based on linear codes has the property of authority by checking the equality to prevent the third party attack.

Key words: linear codes, third party attack, key agreement, threshold, multi-secret, authority