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arXiv 1909.07262math.GR
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基于群环的公开密钥密码体制

Group ring based public key cryptosystems

Gaurav Mittal, Sunil Kumar, Shiv Narain, Sandeep Kumar

摘要:

本文基于群环和已有的密码体制提出了两个密码体制。第一种是椭圆ElGamal型群环公开密钥密码体制,其安全性大于基于椭圆曲线离散对数问题的密码体制(ECDLP)。第二种是ElGamal型群环公开密钥密码体制,它类似于ElGamal公开密钥密码体制,但具有更高的安全性。还给出了这两个建议的密码系统的例子。

英文摘要:

In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is greater than security of cryptosystems based on elliptic curves discrete logarithmic problem (ECDLP). Second is ElGamal type group ring public key cryptosystem, which is analogous to ElGamal public key cryptosystem but has comparatively greater security. Examples are also given for both the proposed cryptosystems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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