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针对基于数论问题的公钥身份认证方案在资源受限环境下难以使用,且在量子计算机时代不再安全的问题.利用纠错码理论,提出基于纠错码的无证书身份认证新方案.新方案的实现过程仅需异或运算,实现效率高;同时该方案不存在证书管理问题及密钥托管问题.通过使用有限域Fq上的随机线性码,减少了密钥长度.研究结果表明:新方案能够较好的适用于智能卡等计算能力较小的终端设备.新方案的提出为基于纠错码的公钥密码体制的进一步实用化奠定了基础.
Aiming at the problem that the public key authentication scheme based on the number theory is difficult to use under the limited resource environment and is no longer safe in the quantum computer era, a new scheme of certificateless authentication based on error correction code is proposed. The implementation process of the scheme only needs XOR operation, and the implementation efficiency is high. At the same time, there is no problem of certificate management and key escrow in this scheme. The key length is reduced by using the random linear code in the finite field Fq.The results show that: The scheme can be well applied to the terminal equipment with less computing power such as smart card, etc. The proposal of new scheme lays the foundation for the further practical application of the public key cryptosystem based on error correction code.