There are quite more applications of group theory. The recent application of group theory is public key （asymmetric） cryptography. All cryptographic algorithms have some weaknesses. To avoid its weakness, some speci...There are quite more applications of group theory. The recent application of group theory is public key （asymmetric） cryptography. All cryptographic algorithms have some weaknesses. To avoid its weakness, some special groups and methods can applied on. We will touch on group based public key cryptography and will give some suggestions in this area.展开更多
We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryp...We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we consider the way it increases the unicity distance of both classical and quantum private-key encryption schemes. The security of quantum probabilistic privatekey encryption schemes against two kinds of attacks is analyzed. By using the no-signalling postulate, we show that the scheme can resist attack to the key. The scheme's security against plaintext attack is also investigated by considering the information-theoretic indistinguishability of the encryption scheme. Finally, we make a conjecture regarding Breidbart's attack.展开更多
A quantum group signature(QGS) scheme is proposed on the basis of an improved quantum chaotic encryption algorithm using the quantum one-time pad with a chaotic operation string. It involves a small-scale quantum comp...A quantum group signature(QGS) scheme is proposed on the basis of an improved quantum chaotic encryption algorithm using the quantum one-time pad with a chaotic operation string. It involves a small-scale quantum computation network in three phases, i.e. initializing phase, signing phase and verifying phase. In the scheme, a member of the group signs the message on behalf of the group while the receiver verifies the signature's validity with the aid of the trusty group manager who plays a crucial role when a possible dispute arises. Analysis result shows that the signature can neither be forged nor disavowed by any malicious attackers.展开更多
文摘There are quite more applications of group theory. The recent application of group theory is public key （asymmetric） cryptography. All cryptographic algorithms have some weaknesses. To avoid its weakness, some special groups and methods can applied on. We will touch on group based public key cryptography and will give some suggestions in this area.
基金supported by the National Natural Science Foundation of China under Grant No. 61173157Strategy Pilot Project of Chinese Academy of Sciences under Grant No. XD06010702IIE's Cryptography Research Project
文摘We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we consider the way it increases the unicity distance of both classical and quantum private-key encryption schemes. The security of quantum probabilistic privatekey encryption schemes against two kinds of attacks is analyzed. By using the no-signalling postulate, we show that the scheme can resist attack to the key. The scheme's security against plaintext attack is also investigated by considering the information-theoretic indistinguishability of the encryption scheme. Finally, we make a conjecture regarding Breidbart's attack.
基金Project(61379057)supported by the National Natural Science Foundation of ChinaProject supported by the Construct Program of the Key Discipline in Hunan University of Arts and Science,China+1 种基金Project(2012BS01)supported by Science Technology Research and Development Projects of Changde,ChinaProject supported by Science and the MEST2012-002521,NRF,Korea
文摘A quantum group signature(QGS) scheme is proposed on the basis of an improved quantum chaotic encryption algorithm using the quantum one-time pad with a chaotic operation string. It involves a small-scale quantum computation network in three phases, i.e. initializing phase, signing phase and verifying phase. In the scheme, a member of the group signs the message on behalf of the group while the receiver verifies the signature's validity with the aid of the trusty group manager who plays a crucial role when a possible dispute arises. Analysis result shows that the signature can neither be forged nor disavowed by any malicious attackers.
