The competence to distinguish points of view is an essential skill in today’s interconnected and information-rich world.Here’s why it is so important:区分观点的能力是当今互联互通、信息丰富的世界中一项必不可少的技能...The competence to distinguish points of view is an essential skill in today’s interconnected and information-rich world.Here’s why it is so important:区分观点的能力是当今互联互通、信息丰富的世界中一项必不可少的技能。以下是它如此重要的原因。展开更多
In this paper, we discuss the expected number of steps in solving multi-discrete logarithm problems over a group of elliptic curves with prime order by using Pollard＇s rho method and parallel collision search algorit...In this paper, we discuss the expected number of steps in solving multi-discrete logarithm problems over a group of elliptic curves with prime order by using Pollard＇s rho method and parallel collision search algorithm. We prove that when using these algorithms to compute discrete logarithms, the knowledge gained through computing many logarithms does not make it easier for finding other logarithms. Hence in an elliptic cryptosystem, it is safe for many users to share the same curve, with different private keys.展开更多
文摘The competence to distinguish points of view is an essential skill in today’s interconnected and information-rich world.Here’s why it is so important:区分观点的能力是当今互联互通、信息丰富的世界中一项必不可少的技能。以下是它如此重要的原因。
基金NNSF of China.No.90304012973 Project,No.2004CB318000
文摘In this paper, we discuss the expected number of steps in solving multi-discrete logarithm problems over a group of elliptic curves with prime order by using Pollard＇s rho method and parallel collision search algorithm. We prove that when using these algorithms to compute discrete logarithms, the knowledge gained through computing many logarithms does not make it easier for finding other logarithms. Hence in an elliptic cryptosystem, it is safe for many users to share the same curve, with different private keys.
