Nowadays some promising authenticated group key agreement protocols are constructed on braid groups, dynamic groups, pairings and bilinear pairings. Hence the non-abelian structure has attracted cryptographers to cons...Nowadays some promising authenticated group key agreement protocols are constructed on braid groups, dynamic groups, pairings and bilinear pairings. Hence the non-abelian structure has attracted cryptographers to construct public-key cryptographic protocols. In this article, we propose a new authenticated group key agreement protocol which works in non-abelian near-rings. We have proved that our protocol meets the security attributes under the assumption that the twist conjugacy search problem（TCSP） is hard in near-ring.展开更多
密钥交换协议能确保两个用户在不受信任的通道中安全交换密钥,其中Diffie-Hellman协议最为著名。但随着量子计算技术的发展,基于经典数论问题的密钥交换协议逐渐变得脆弱。因此,后量子密码学受到了关注,基于格的密码学成为其中最具吸引...密钥交换协议能确保两个用户在不受信任的通道中安全交换密钥,其中Diffie-Hellman协议最为著名。但随着量子计算技术的发展,基于经典数论问题的密钥交换协议逐渐变得脆弱。因此,后量子密码学受到了关注,基于格的密码学成为其中最具吸引力的领域之一。目前,基于容错学习(Learning with Errors,LWE)问题的格密码是主流。提出了一种基于群环上的容错学习(LWE from Group Rings,GR-LWE)问题的密钥交换协议,将密钥交换协议扩展到二面体非交换群环上,提供了长期安全性,并且可抵抗量子计算机的攻击。展开更多
文摘Nowadays some promising authenticated group key agreement protocols are constructed on braid groups, dynamic groups, pairings and bilinear pairings. Hence the non-abelian structure has attracted cryptographers to construct public-key cryptographic protocols. In this article, we propose a new authenticated group key agreement protocol which works in non-abelian near-rings. We have proved that our protocol meets the security attributes under the assumption that the twist conjugacy search problem（TCSP） is hard in near-ring.
文摘密钥交换协议能确保两个用户在不受信任的通道中安全交换密钥,其中Diffie-Hellman协议最为著名。但随着量子计算技术的发展,基于经典数论问题的密钥交换协议逐渐变得脆弱。因此,后量子密码学受到了关注,基于格的密码学成为其中最具吸引力的领域之一。目前,基于容错学习(Learning with Errors,LWE)问题的格密码是主流。提出了一种基于群环上的容错学习(LWE from Group Rings,GR-LWE)问题的密钥交换协议,将密钥交换协议扩展到二面体非交换群环上,提供了长期安全性,并且可抵抗量子计算机的攻击。
