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We address the problems of constructing quantum convolutional codes (QCCs) and of encoding them. The first construction is a CSS-type construction which allows us to find QCCs of rate 2/4. The second construction yields a quantum…

Quantum Physics · Physics 2009-05-24 Markus Grassl , Martin Roetteler

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

High-rate concatenated quantum codes offer a promising pathway toward fault-tolerant quantum computation, yet designing efficient decoders that fully exploit their error-correction capability remains a significant challenge. In this work,…

Quantum Physics · Physics 2026-01-15 Chao Zhang , Zipeng Wu , Jiahui Wu , Shilin Huang

In this paper, we propose an encoding scheme for partitioned linear block codes (PLBC) which mask the stuck-at defects in memories. In addition, we derive an upper bound and the estimate of the probability that masking fails. Numerical…

Information Theory · Computer Science 2014-12-11 Yongjune Kim , B. V. K. Vijaya Kumar

Blockchain is a Distributed Ledger Technology (DLT) that offers numerous benefits including decentralization, transparency, efficiency, and reduced costs. Hence, blockchain has been included in many fields. Blockchain relies on…

Cryptography and Security · Computer Science 2025-08-26 Sufyan Al-Janabi

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

In this paper, we suggest a code-based public key encryption scheme, called McNie. McNie is a hybrid version of the McEliece and Niederreiter cryptosystems and its security is reduced to the hard problem of syndrome decoding. The public key…

Cryptography and Security · Computer Science 2019-01-29 Jon-Lark Kim , Young-Sik Kim , Lucky Galvez , Myeong Jae Kim , Nari Lee

Quantum secure direct communication (QSDC) is a approach of communication to transmit secret messages base on quantum mechanics. Different from the quantum key distribution, secret messages can be transmitted directly on quantum channel…

Quantum Physics · Physics 2024-06-18 Zhengwen Cao , Yujie Wang , Geng Chai , Xinlei Chen , Yuan Lu

Learned progressive image compression is gaining momentum as it allows improved image reconstruction as more bits are decoded at the receiver. We propose a progressive image compression method in which an image is first represented as a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Alberto Presta , Enzo Tartaglione , Attilio Fiandrotti , Marco Grangetto , Pamela Cosman

As quantum computing hardware continues to advance, the integration of such technology with quantum algorithms is anticipated to enable the decryption of ciphertexts produced by RSA and Elliptic Curve Cryptography (ECC) within polynomial…

Cryptography and Security · Computer Science 2026-03-05 Abel C. H. Chen

Since the security of post-quantum cryptography (PQC) algorithms is based on the hardness of mathematical problems, while the security of quantum key distribution (QKD) relies on the fundamental principles of quantum physics, each approach…

Cryptography and Security · Computer Science 2025-10-06 Abel C. H. Chen

Designing quantum error correcting codes that promise a high error threshold, low resource overhead and efficient decoding algorithms is crucial to achieve large-scale fault-tolerant quantum computation. The concatenated quantum Hamming…

Quantum Physics · Physics 2026-05-12 Menglong Fang , Daiqin Su

In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parameters of the McEliece cryptosystem, such that key size and…

Algebraic Geometry · Mathematics 2020-04-14 Sabira El Khalfaoui , Gábor P. Nagy

Block encoding of sparse matrices underpins powerful quantum algorithms such as quantum singular value transformation, Hamiltonian simulation, and quantum linear solvers, yet its efficient gate-level realization for general sparse matrices…

Quantum Physics · Physics 2026-04-07 Abhishek Setty

Quantum computers can break the RSA and El Gamal public-key cryptosystems, since they can factor integers and extract discrete logarithms. If we believe that quantum computers will someday become a reality, we would like to have…

Cryptography and Security · Computer Science 2010-10-19 Hang Dinh , Cristopher Moore , Alexander Russell

Quasi-twisted (QT) codes generalize several important families of linear codes, including cyclic, constacyclic, and quasi-cyclic codes. Despite their potential, to the best of our knowledge, there exists no efficient decoding algorithm for…

Cryptography and Security · Computer Science 2025-07-03 Bhagyalekshmy S , Rutuja Kshirsagar

Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added…

Code-based cryptography is an interesting alternative to classic number-theory PKC since it is conjectured to be secure against quantum computer attacks. Many families of codes have been proposed for these cryptosystems, one of the main…

Information Theory · Computer Science 2012-05-17 Irene Márquez-Corbella , Ruud Pellikaan

We propose a QNSC pre-coding scheme based on probabilistic shaping of the basis, to reduce the probability of ciphertext bits that are easier to be intercepted. Experiment results show this scheme can improve the security performance by…

Cryptography and Security · Computer Science 2023-05-17 Sheng Liu , Shuang Wei , Wei Wang , Chao Lei , Tianhe Liu , Yajie Li , Yunbo Li , Dawei Ge , Dong Wang , Yongli Zhao , Dechao Zhang , Han Li , Jie Zhang

With the development of quantum computers, traditional cryptographic systems are facing more and more serious security threats. Fortunately, quantum key distribution (QKD) and post-quantum cryptography (PQC) are two cryptographic mechanisms…

Quantum Physics · Physics 2022-06-03 Liu-Jun Wang , You-Yang Zhou , Jian-Ming Yin , Qing Chen
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