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This paper conducts a comprehensive benchmarking analysis of the performance of two innovative cryptographic schemes: Homomorphic Polynomial Public Key (HPPK)-Key Encapsulation Mechanism (KEM) and Digital Signature (DS), recently proposed…

Cryptography and Security · Computer Science 2024-01-11 Randy Kuang , Maria Perepechaenko , Dafu Lou , Brinda Tank

This paper presents an efficient quadratic programming (QP) decoder via the alternating direction method of multipliers (ADMM) technique, called QP-ADMM, for binary low-density parity-check (LDPC) codes. Its main contents are as follows:…

Information Theory · Computer Science 2020-02-19 Jing Bai , Yongchao Wang , Qingjiang Shi

Here we introduce an improved approach to Variational Quantum Attack Algorithms (VQAA) on crytographic protocols. Our methods provide robust quantum attacks to well-known cryptographic algorithms, more efficiently and with remarkably fewer…

Quantum Physics · Physics 2025-03-17 Borja Aizpurua , Pablo Bermejo , Josu Etxezarreta Martinez , Roman Orus

In this article we present a new prepare and measure quantum key distribution protocol that decouples the necessary quantum channel error estimation from its dependency on sifting, or otherwise post-selecting, the detection outcomes. Rather…

Quantum Physics · Physics 2017-02-27 James E. Troupe , Jacob M. Farinholt

Low-density parity-check (LDPC) codes are one of the most promising families of codes to replace the Goppa codes originally used in the McEliece cryptosystem. In fact, it has been shown that by using quasi-cyclic low-density parity-check…

Information Theory · Computer Science 2016-11-15 Marco Baldi , Marco Bianchi , Franco Chiaraluce

In this paper we propose the construction of Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes using a periodic time-variant Quasi-Cyclic (QC) algorithm. The QC based approach is optimized to obtain memory efficiency in storing the…

Information Theory · Computer Science 2013-10-18 Vikram Arkalgud Chandrasetty , Sarah J. Johnson , Gottfried Lechner

Quantum low-density parity-check (qLDPC) codes are promising for realizing scalable fault-tolerant quantum computation due to their potential for low-overhead protocols. A common approach to decoding qLDPC codes is to use the belief…

Quantum Physics · Physics 2025-10-13 Kento Tsubouchi , Hayata Yamasaki , Shiro Tamiya

This paper describes the design and C99 implementation of a free and open-source Low-Density Parity-Check (LDPC) codes encoder and decoder focused primarily on the Quasi-Cyclic LDPC (QCLDPC) codes utilized in the IEEE 802.11ax-2021 (Wi-Fi…

Information Theory · Computer Science 2023-06-22 Tomas Palenik , Viktor Szitkey

Post-selection strategies that discard low-confidence computational results can significantly improve the effective fidelity of quantum error correction at the cost of reduced acceptance rates, which can be particularly useful for offline…

Quantum Physics · Physics 2026-01-27 Seok-Hyung Lee , Lucas H. English , Stephen D. Bartlett

We consider generalized low-density parity-check (GLDPC) codes with component codes that are duals of Cordaro-Wagner codes. Two efficient decoding algorithms are proposed: one based on Hartmann-Rudolph processing, analogous to Sum-Product…

Information Theory · Computer Science 2025-05-14 Dawit Simegn , Dmitry Artemasov , Kirill Andreev , Pavel Rybin , Alexey Frolov

Recently, it has been shown how McEliece public-key cryptosystems based on moderate-density parity-check (MDPC) codes allow for very compact keys compared to variants based on other code families. In this paper, classical (iterative)…

Cryptography and Security · Computer Science 2018-01-18 Hannes Bartz , Gianluigi Liva

The fundamental security and efficiency considerations for fresh key generation will be described. It is shown that the attacker's optimal probability of finding the generated key is an indispensable measure of security and that this…

Quantum Physics · Physics 2016-11-15 Horace P. Yuen

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

We propose fault-tolerant encoders for quantum low-density parity check (LDPC) codes. By grouping qubits within a quantum code over contiguous blocks and applying preshared entanglement across these blocks, we show how transversal…

Quantum Physics · Physics 2024-05-27 Abhi Kumar Sharma , Shayan Srinivasa Garani

This paper investigates a reconciliation method in order to establish an errorless secret key in a QKD protocol. Classical key distribution protocols are no longer unconditionally secure because computational complexity of mathematical…

Quantum Physics · Physics 2020-02-19 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

Like all of quantum information theory, quantum cryptography is traditionally based on two level quantum systems. In this letter, a new protocol for quantum key distribution based on higher dimensional systems is presented. An experimental…

Quantum Physics · Physics 2009-10-31 H. Bechmann-Pasquinucci , W. Tittel

A new scheme of quantum key distribution (QKD) using frequency and time coding is proposed, in which the security is based on the frequency-time uncertainty relation. In this scheme, the binary information sequence is encoded randomly on…

Quantum Physics · Physics 2015-05-18 Chang-hua Zhu , Chang-xing Pei , Dong-xiao Quan , Nan Chen , Yun-hui Yi

Throughout history, every advance in encryption has been defeated by advances in hacking with severe consequences. Quantum cryptography holds the promise to end this battle by offering unconditional security when ideal single-photon sources…

Quantum low-density parity-check (QLDPC) codes offer a promising route to scalable fault-tolerant quantum computation, but their performance under iterative decoding is strongly influenced by short-cycle structure and other harmful…

Information Theory · Computer Science 2026-05-05 Anthony Gómez-Fonseca , Gretchen L. Matthews , Kirsten D. Morris , Tefjol Pllaha

Quantum cryptography has attracted much attention in recent years. In most existing quantum cryptographic protocols, players usually need the full quantum power of generating, manipulating or measuring quantum states. Semiquantum…

Quantum Physics · Physics 2018-11-12 Ming-Ming Wang , Lin-Ming Gong , Lian-He Shao