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Related papers: A CCA2 Secure Variant of the McEliece Cryptosystem

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By combining the one-way coupled chaotic map lattice system with a bit-reverse operation, we construct a new cryptosystem which is extremely sensitive to the system parameters even for low-dimensional systems. The security of this new…

Chaotic Dynamics · Physics 2007-05-23 Xingang Wang , Meng Zhan , Xiaofeng Gong , Choy-Heng Lai

Due to the recent challenges in post-quantum cryptography, several new approaches for code-based cryptography have been proposed. For example, a variant of the McEliece cryptosystem based on interleaved codes was proposed. In order to deem…

Information Theory · Computer Science 2022-05-30 Anmoal Porwal , Lukas Holzbaur , Hedongliang Liu , Julian Renner , Antonia Wachter-Zeh , Violetta Weger

We prove that it is impossible to construct perfect-complete quantum public-key encryption (QPKE) with classical keys from quantumly secure one-way functions (OWFs) in a black-box manner, resolving a long-standing open question in quantum…

Quantum Physics · Physics 2025-04-09 Longcheng Li , Qian Li , Xingjian Li , Qipeng Liu

Data breaches-mass leakage of stored information-are a major security concern. Encryption can provide confidentiality, but encryption depends on a key which, if compromised, allows the attacker to decrypt everything, effectively instantly.…

Cryptography and Security · Computer Science 2020-10-15 Moe Sabry , Reza Samavi , Douglas Stebila

This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

Cryptography and Security · Computer Science 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

Post-Quantum cryptography is about to substitute current cryptographic schemes as being resilient in attacks from quantum computers. McEleiece and Bit Flip Key Encapsulation (BIKE) are two delight representatives based on coding theory…

Cryptography and Security · Computer Science 2026-05-19 Konstantinos Spalas

We introduce the notion of a conditional encryption scheme as an extension of public key encryption. In addition to the standard public key algorithms ($\mathsf{KG}$, $\mathsf{Enc}$, $\mathsf{Dec}$) for key generation, encryption and…

Cryptography and Security · Computer Science 2026-03-24 Mohammad Hassan Ameri , Jeremiah Blocki

Importance of Elliptic Curves in Cryptography was independently proposed by Neal Koblitz and Victor Miller in 1985.Since then, Elliptic curve cryptography or ECC has evolved as a vast field for public key cryptography (PKC) systems. In PKC…

Cryptography and Security · Computer Science 2011-07-20 Rahat Afreen , S. C. Mehrotra

Computationally hard problems based on coding theory, such as the syndrome decoding problem, have been used for constructing secure cryptographic schemes for a long time. Schemes based on these problems are also assumed to be secure against…

Cryptography and Security · Computer Science 2024-09-12 Puja Mondal , Supriya Adhikary , Suparna Kundu , Angshuman Karmakar

In classical cryptography, certified deletion is simply impossible. Since classical information can be copied any number of times easily. In quantum cryptography, certified deletion is possible because of theorems of quantum mechanics such…

Cryptography and Security · Computer Science 2025-03-04 Xiaogang Cheng , Ren Guo

Known key exchange schemes offering information-theoretic (unconditional) security are complex and costly to implement. Nonetheless, they remain the only known methods for achieving unconditional security in key exchange. Therefore, the…

Cryptography and Security · Computer Science 2024-02-27 Laszlo B. Kish

We present a classification of quantum public-key encryption protocols. There are six elements in quantum public-key encryption: plaintext, ciphertext, public-key, private-key, encryption algorithm and decryption algorithm. According to the…

Quantum Physics · Physics 2016-01-20 Chenmiao Wu , Li Yang

Advances in quantum computing threaten digital communication security by undermining the foundations of current public-key cryptography through Shor's quantum algorithm. This has driven the development of Post-Quantum Cryptography (PQC), a…

Cryptography and Security · Computer Science 2026-03-09 Callum Turino , William J Buchanan , Owen Lo , Christoph Thuummler

We propose a bit-oriented quantum public-key scheme which uses Boolean function as private-key and randomly changed pairs of quantum state and classical string as public-keys. Contrast to the typical classical public-key scheme, one…

Quantum Physics · Physics 2015-01-30 Chenmiao Wu , Li Yang

At Eurocrypt'99, Paillier presented a public-key cryptosystem based on a novel computational problem. It has interested many researchers because it was additively homomorphic. In this paper, we show that there is a big difference between…

Cryptography and Security · Computer Science 2015-11-19 Zhengjun Cao , Lihua Liu

Secure multiparty computation (MPC) schemes allow two or more parties to conjointly compute a function on their private input sets while revealing nothing but the output. Existing state-of-the-art number-theoretic-based designs face the…

Quantum Physics · Physics 2024-07-18 Tapaswini Mohanty , Vikas Srivastava , Sumit Kumar Debnath , Pantelimon Stanica

The rapid development of quantum computing poses a significant threat to the security of current cryptographic systems, including those used in User Equipment (UE) for mobile communications. Conventional cryptographic algorithms such as…

Cryptography and Security · Computer Science 2024-08-22 Sanzida Hoque , Abdullah Aydeger , Engin Zeydan

We propose a new cryptosystem based on polycyclic groups. The cryptosystem is based on the fact that the word problem can be solved effectively in polycyclic groups, while the known solutions to the conjugacy problem are far less efficient.

Group Theory · Mathematics 2007-05-23 Bettina Eick , Delaram Kahrobaei

This paper presents two public key cryptosystems based on the so-called expanded Gabidulin codes, which are constructed by expanding Gabidulin codes over the base field. Exploiting the fast decoder of Gabidulin codes, we propose an…

Information Theory · Computer Science 2022-04-12 Wenshuo Guo , Fang-Wei Fu