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This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

Encryption schemes attempt to provide a means for entities to communicate confidentially over a public channel. Such schemes have been studied for centuries, and their use has become widespread. However, developments in the area of quantum…

Quantum Physics · Physics 2009-09-29 Michael Stephen Brown

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

We present a code-based public-key cryptosystem, in which we use Reed-Solomon codes over an extension field as secret codes and disguise it by considering its shortened expanded code over the base field. Considering shortened expanded codes…

Cryptography and Security · Computer Science 2020-05-12 Karan Khathuria , Joachim Rosenthal , Violetta Weger

With the rapid development of quantum computing, classical cryptography systems are increasingly vulnerable to security threats, thereby highlighting the urgency of constructing architectures that are resilient to quantum computing attacks.…

Cryptography and Security · Computer Science 2026-02-13 Xiaoming Chen , Haoze Chen , Fei Xu , Meifeng Gao , Jianguo Xie , Cheng Ye , An Hua , Shichang Jiang , Jiao Zhao , Minghan Li , Feilong Li , Yajun Miao , Wei Qi

A new computational private information retrieval (PIR) scheme based on random linear codes is presented. A matrix of messages from a McEliece scheme is used to query the server with carefully chosen errors. The server responds with the sum…

Information Theory · Computer Science 2020-05-15 Lukas Holzbaur , Camilla Hollanti , Antonia Wachter-Zeh

In modern cryptography, block encryption is a fundamental cryptographic primitive. However, it is impossible for block encryption to achieve the same security as one-time pad. Quantum mechanics has changed the modern cryptography, and lots…

Cryptography and Security · Computer Science 2018-12-17 Min Liang , Li Yang

A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random string, one of them can transmit a quantum state to the other…

Quantum Physics · Physics 2007-05-23 Andris Ambainis , Adam Smith

Randomness extraction is of fundamental importance for information-theoretic cryptography. It allows to transform a raw key about which an attacker has some limited knowledge into a fully secure random key, on which the attacker has…

Quantum Physics · Physics 2007-12-13 Serge Fehr , Christian Schaffner

In symmetric key cryptography the sender as well as the receiver possess a common key. Asymmetric key cryptography involves generation of two distinct keys which are used for encryption and decryption correspondingly. The sender converts…

Cryptography and Security · Computer Science 2016-03-25 Akashdeep Bhardwaj , GVB Subrahmanyam , Vinay Avasthi , Hanumat Sastry

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

Quantum Physics · Physics 2026-03-10 Prabhanjan Ananth , Eli Goldin

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

Quantum key distribution (QKD) allows Alice and Bob to share a secret key over an insecure channel with proven information-theoretic security against an adversary whose strategy is bounded only by the laws of physics. Composability-based…

Quantum Physics · Physics 2026-01-21 Kunal Dey , Reihaneh Safavi-Naini

In contrast to classical public-key cryptosystems, where the security of encoded messages relies on on computational assumptions, Quantum Key Distribution (QKD) enables two distant parties to establish a shared secret key that, when…

Secure quantum networks are a bedrock requirement for developing a future quantum internet. However, quantum channels are susceptible to channel noise that introduce errors in the transmitted data. The traditional approach to providing…

Quantum Physics · Physics 2025-05-30 Nitin Jha , Abhishek Parakh , Mahadevan Subramaniam

The McEliece scheme is a generic frame which allows to use any error correcting code of which there exists an efficient decoding algorithm to design an encryption scheme by hiding the generator matrix code. Similarly, the Niederreiter frame…

Cryptography and Security · Computer Science 2024-10-18 Nicolas Aragon , Alain Couvreur , Victor Dyseryn , Philippe Gaborit , Adrien Vinçotte

Cryptography plays an important role in ensuring data security and authentication within information processing systems. As the prevalence of digital imagery continues to grow, safeguarding this form of data becomes increasingly crucial.…

Quantum Physics · Physics 2024-03-27 Rakesh Saini , Bikash K. Behera , Saif Al-Kuwari , Ahmed Farouk

With the extraordinary maturity of data exchange in network environments and increasing the attackers capabilities, information security has become the most important process for data storage and communication. In order to provide such…

Cryptography and Security · Computer Science 2015-04-15 Omer K. Jasim Mohammad , Safia Abbas , El-Sayed M. El-Horbaty , Abdel-Badeeh M. Salem

Polar codes are novel and efficient error correcting codes with low encoding and decoding complexities. These codes have a channel dependent generator matrix which is determined by the code dimension, code length and transmission channel…

Cryptography and Security · Computer Science 2017-12-22 Reza Hooshmand , Masoumeh Koochak Shooshtari , Mohammad Reza Aref

We propose an information-theoretically secure encryption scheme for classical messages with quantum ciphertexts that offers detection of eavesdropping attacks, and re-usability of the key in case no eavesdropping took place: the entire key…

Quantum Physics · Physics 2017-05-22 Serge Fehr , Louis Salvail