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Efficient message transmission via twisted Edwards curves
Mathematica Slovaca ( IF 1.6 ) Pub Date : 2020-12-16 , DOI: 10.1515/ms-2017-0444
Bariş Bülent Kirlar 1, 2
Affiliation  

Abstract In this paper, we suggest a novel public key scheme by incorporating the twisted Edwards model of elliptic curves. The security of the proposed encryption scheme depends on the hardness of solving elliptic curve version of discrete logarithm problem and Diffie-Hellman problem. It then ensures secure message transmission by having the property of one-wayness, indistinguishability under chosen-plaintext attack (IND-CPA) and indistinguishability under chosen-ciphertext attack (IND-CCA). Moreover, we introduce a variant of Nyberg-Rueppel digital signature algorithm with message recovery using the proposed encryption scheme and give some countermeasures to resist some wellknown forgery attacks.

中文翻译:

通过扭曲的爱德华兹曲线进行有效的消息传输

摘要 在本文中,我们通过结合椭圆曲线的扭曲爱德华兹模型提出了一种新的公钥方案。所提出的加密方案的安全性取决于求解离散对数问题和 Diffie-Hellman 问题的椭圆曲线版本的难易程度。然后,它通过具有单向性、选择明文攻击下的不可区分性 (IND-CPA) 和选择密文攻击下的不可区分性 (IND-CCA) 的特性来确保安全的消息传输。此外,我们使用所提出的加密方案引入了带有消息恢复的 Nyberg-Rueppel 数字签名算法的变体,并给出了一些对抗一些众所周知的伪造攻击的对策。
更新日期:2020-12-16
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