隐多项式密码系统
Hidden Polynomial(s) Cryptosystems
摘要:
我们提出的隐藏单项密码系统的类的变化,以使其抵抗所有已知的攻击。我们使用的身份建立在一个单一的二元多项式方程的系数在有限域。事实上,它也可以被一个“小”的理想所取代。在整个过程中,我们也建立了概率加密协议。同样的思想也适用于数字签名算法。我们的方案工作以及微分领域的积极特征,并在其他地方。
英文摘要:
We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can be replaced by a ``small'' ideal, as well. Throughout, we set up probabilistic encryption protocols, too. The same ideas extend to digital signature algorithms, as well. Our schemes work as well on differential fields of positive characteristic, and elsewhere.
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