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Cyclic maximum distance separable (MDS for short) codes are a special subclass of linear codes and have received a lot of attention, as these codes have very important applications in many areas including quantum codes, designs and finite…

Information Theory · Computer Science 2026-05-12 Can Xiang , Chunming Tang

We introduce multivariate multicycle (MM) codes, a new family of quantum error-correcting codes (QECCs) that unifies bivariate bicycle, multivariate bicycle, abelian two-block group algebra, generalized bicycle, trivariate tricycle, and…

Quantum Physics · Physics 2026-05-26 Feroz Ahmed Mian , Owen Gwilliam , Stefan Krastanov

Secret sharing schemes based on the idea of hidden multipliers in encryption are proposed. As a platform, one can use both multiplicative groups of finite fields and groups of invertible elements of commutative rings, in particular,…

Cryptography and Security · Computer Science 2021-08-17 Vitaly Roman'kov

A code of length $n$ is said to be (combinatorially) $(\rho,L)$-list decodable if the Hamming ball of radius $\rho n$ around any vector in the ambient space does not contain more than $L$ codewords. We study a recently introduced class of…

Information Theory · Computer Science 2023-05-10 Harshithanjani Athi , Rasagna Chigullapally , Prasad Krishnan , Lalitha Vadlamani

The hashing trick is a machine learning technique used to encode categorical features into a numerical vector representation of pre-defined fixed length. It works by using the categorical hash values as vector indices, and updating the…

Machine Learning · Computer Science 2021-02-09 M. Andrecut

In recent years, the Substitution-Permutation Network has emerged as a crucial structure for constructing symmetric key ciphers. Composed primarily of linear matrices and nonlinear S-boxes, it offers a robust foundation for cryptographic…

Cryptography and Security · Computer Science 2024-09-06 Yu Tian , Xiutao Feng , Guangrong Li

MDS codes are elegant constructions in coding theory and have mode important applications in cryptography, network coding, distributed data storage, communication systems et. In this study, a method is given which MDS codes are lifted to a…

Information Theory · Computer Science 2021-04-01 Elif Segah Oztas

The combinative applications of one-way coupled map lattice (OCML) and some simple algebraic operations have demonstrated to be able to construct the best known chaotic cryptosystem with high practical security, fast encryption speed, and…

Chaotic Dynamics · Physics 2007-05-23 Jiantao Zhou , Wenjiang Pei , Jie Huang , Aiguo Song , Zhenya He

High-dimensional quantum key distribution (QKD) offers higher information capacity and stronger resilience to noise compared to its binary counterpart. However, these advantages are often hindered by the difficulty of realizing the required…

Quantum Physics · Physics 2025-04-04 Ohad Lib , Kfir Sulimany , Mateus Araújo , Michael Ben-Or , Yaron Bromberg

Privacy is one of the key issues addressed by information Security. Through cryptographic encryption methods, one can prevent a third party from understanding transmitted raw data over unsecured channel during signal transmission. The…

Cryptography and Security · Computer Science 2013-07-31 Quist-Aphetsi Kester

Vigenere Cipher is one of the classic cryptographic algorithms and included into symmetric key cryptography algorithm, where to encryption and decryption process use the same key. Vigenere Cipher has the disadvantage that if key length is…

Cryptography and Security · Computer Science 2017-07-07 Amin Subandi , Rini Meiyanti , Cut Lika Mestika Sandy , Rahmat Widia Sembiring

Selective image encryption is common in remote sensing systems because it protects sensitive regions of interest (ROI) while limiting computational cost. However, many selective designs enable cross-tile structural leakage under…

Cryptography and Security · Computer Science 2026-03-02 Jilei Sun , Dianhong Wu , Ying Su

Metric Differential Privacy (mDP) extends the concept of Differential Privacy (DP) to serve as a new paradigm of data perturbation. It is designed to protect secret data represented in general metric space, such as text data encoded as word…

Artificial Intelligence · Computer Science 2024-05-10 Chenxi Qiu

The rising need of secret image sharing with high security has led to much advancement in lucrative exchange of important images which contain vital and confidential information. Multi secret image sharing system (MSIS) is an efficient and…

Cryptography and Security · Computer Science 2017-10-27 Karthik Reddy , Tejas K , Swathi C , Ashok K , Rajesh Kumar M

In this paper, through considering lightweight cryptography, we present a comparative realization of MDS matrices used in the VLSI implementations of lightweight cryptography. We verify the MixColumn/MixNibble transformation using MDS…

Cryptography and Security · Computer Science 2018-04-19 Anita Aghaie , Mehran Mozaffari Kermani , Reza Azarderakhsh

A verifiable multi-secret sharing (VMSS) scheme enables the dealer to share multiple secrets, and the deception of both participants and the dealer can be detected. After analyzing the security of VMSS schemes proposed by Mashhadi and…

Cryptography and Security · Computer Science 2019-06-12 Jing Yang , Fang-Wei Fu

We introduce a two-step error correction scheme for reconciliation in continuous-variable quantum key distribution systems. Using this scheme, it is possible to use error correction codes with small blocklengths (1000 bits), increasing…

This paper proposes a new block cipher termed as "Modular Arithmetic based Block Cipher with Varying Key-Spaces (MABCVK)" that uses private key-spaces of varying lengths to encrypt data files. There is a simple but intelligent use of theory…

Cryptography and Security · Computer Science 2012-03-28 Abhijit Chowdhury , Angshu Kumar Sinha , Saurabh Dutta

We propose a practical quantum cryptographic scheme which combines high information capacity, such as provided by high-dimensional quantum entanglement, with the simplicity of a two-dimensional Clauser-Horne-Shimony-Holt (CHSH) Bell test…

Quantum Physics · Physics 2016-01-11 Adetunmise C. Dada

Maximum-distance-separable (MDS) codes are a class of erasure codes that are widely adopted to enhance the reliability of distributed storage systems (DSS). In (n, k) MDS coded DSS, the original data are stored into n distributed nodes in…

Information Theory · Computer Science 2017-06-16 Sheng Guan , Haibin Kan , Xin Wang