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In this paper, we propose a quasigroup based block cipher design. The round functions of the encryption and decryption algorithms use quasigroup based string transformations. We show the robustness of the design against the standard…

Cryptography and Security · Computer Science 2021-12-15 Sharwan K. Tiwari , Ambrish Awasthi , Sucheta Chkrabarti , Sudha Yadav

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with…

Quantum Physics · Physics 2019-03-27 Alex B. Grilo , Iordanis Kerenidis , Timo Zijlstra

The advent of quantum computation compels the cryptographic community to design digital signature schemes whose security extends beyond the classical hardness assumptions. In this work, we introduce Spinel, a post-quantum digital signature…

Cryptography and Security · Computer Science 2026-02-12 Asmaa Cherkaoui , Faraz Heravi , Delaram Kahrobaei , Siamak F. Shahandashti

The states needed in a quantum computation are extremely affected by decoherence. Several methods have been proposed to control error spreading. They use two main tools: fault-tolerant constructions and concatenated quantum error correcting…

Quantum Physics · Physics 2007-05-23 Pedro J. Salas , Angel L. Sanz

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

Quantum Physics · Physics 2013-09-02 Vlad Gheorghiu , Barry C. Sanders

In 1994, P. Shor discovered quantum algorithms which can break both the RSA cryptosystem and the ElGamal cryptosystem. In 2007, D-Wave demonstrated the first quantum computer. These events and further developments have brought a crisis to…

Metric Geometry · Mathematics 2025-07-01 Chuanming Zong

We explore the effect of Shor state construction methods on logical state encoding and quantum error correction for the [[7,1,3]] Calderbank-Shor-Steane quantum error correction code in a nonequiprobable error environment. We determine the…

Quantum Physics · Physics 2015-06-03 Yaakov S. Weinstein , Sidney D. Buchbinder

This survey provides a comparative overview of code-based signature schemes with respect to security and performance. Furthermore, we explicitly describe serveral code-based signature schemes with additional properties such as…

Cryptography and Security · Computer Science 2013-12-17 Pierre-Louis Cayrel , Mohammed Meziani

Post-quantum cryptography (PQC) must secure large-scale communication systems against quantum adversaries where classical hardness alone is insufficient and purely quantum schemes remain impractical. Lattice-based key encapsulation…

Quantum Physics · Physics 2025-11-18 Ilias Cherkaoui , Indrakshi Dey

Voting is a primary democratic activity through which voters select representatives or approve policies. Conventional paper ballot elections have several drawbacks that might compromise the fairness, effectiveness, and accessibility of the…

Cryptography and Security · Computer Science 2026-05-05 Vikas Srivastava , Debasish Roy , Sihem Mesnager , Nibedita Kundu , Sumit Kumar Debnath , Sourav Mukhopadhyay

The discrete logarithm problem (DLP) over finite fields, commonly used in classical cryptography, has no known polynomial-time algorithm on classical computers. However, Shor has provided its polynomial-time algorithm on quantum computers.…

Quantum Physics · Physics 2025-10-06 Kaito Kishi , Junpei Yamaguchi , Tetsuya Izu , Noboru Kunihiro

Digital signatures are one of the simplest cryptographic building blocks that provide appealing security characteristics such as authenticity, unforgeability, and undeniability. In 1984, Shamir developed the first Identity-based signature…

Cryptography and Security · Computer Science 2024-03-28 Tapaswini Mohanty , Vikas Srivastava , Sumit Kumar Debnath , Debasish Roy , Kouichi Sakurai , Sourav Mukhopadhyay

The integration of quantum error correction codes and homomorphic encryption schemes is essential for achieving fault-tolerant secure cloud quantum computing. However, owing to the significant overheads associated with these schemes, their…

Quantum Physics · Physics 2025-02-21 IlKwon Sohn , Boseon Kim , Kwangil Bae , Wonhyuk Lee

Quantum burst error correction codes (QBECCs) are of great importance to deal with the memory effect in quantum channels. As the most important family of QBECCs, quantum cyclic codes (QCCs) play a vital role in the correction of burst…

Quantum Physics · Physics 2026-02-03 Jihao Fan , Min-Hsiu Hsieh

Quantum digital signatures (QDS) exploit quantum laws to guarantee non-repudiation, unforgeability and transferability of messages with information-theoretic security. Current QDS protocols face two major restrictions, including the…

Quantum Physics · Physics 2021-04-09 Yu-Shuo Lu , Xiao-Yu Cao , Chen-Xun Weng , Jie Gu , Yuan-Mei Xie , Min-Gang Zhou , Hua-Lei Yin , Zeng-Bing Chen

Quantum computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

A Quantum Ciphertext-Policy Attribute-Based Encryption scheme (QCP-ABE) has been presented. In classical domain, most of the popular ABE schemes are based on the hardness of the Bilinear Diffie-Hellman Exponent problem, which has been…

Quantum Physics · Physics 2022-03-22 Asmita Samanta , Arpita Maitra , Shion Samadder Chaudhury

In this paper, we first define the quantum discrete logarithm problem (QDLP)which is similar to classical discrete logarithm problem. But, this problem cannot be solved by Shor's quantum algorithm. Based on quantum discrete logarithm…

Quantum Physics · Physics 2007-05-23 Chien-Yuan Chen , Chih-Cheng Hsueh

In recent years, the advancement of quantum computing technology has posed potential security threats to RSA cryptography and elliptic curve cryptography. In response, the National Institute of Standards and Technology (NIST) published…

Cryptography and Security · Computer Science 2025-07-30 Abel C. H. Chen
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