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Error characterization and error correction approaches in combinatorial DNA-based storage [PDF]

open access: yesScientific Reports
Data storage in DNA has recently emerged as a promising archival solution, offering space-efficient and long-lasting digital storage. DNA’s ultra-high density and durability make it an attractive medium for long-term data storage.
Inbal Preuss   +5 more
doaj   +2 more sources

Combinatorial design-based quasi-cyclic LDPC codes with girth eight

open access: yesDigital Communications and Networks, 2018
This paper presents a novel regular Quasi-Cyclic (QC) Low Density Parity Check (LDPC) codes with column-weight three and girth at least eight. These are designed on the basis of combinatorial design in which subsets applied for the construction of ...
Sina Vafi, Narges Rezvani Majid
doaj   +3 more sources

Quantum XYZ Product Codes [PDF]

open access: yesQuantum, 2022
We study a three-fold variant of the hypergraph product code construction, differing from the standard homological product of three classical codes. When instantiated with 3 classical LDPC codes, this "XYZ product" yields a non CSS quantum LDPC code ...
Anthony Leverrier   +2 more
doaj   +1 more source

Down-step statistics in generalized Dyck paths [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2022
The number of down-steps between pairs of up-steps in $k_t$-Dyck paths, a generalization of Dyck paths consisting of steps $\{(1, k), (1, -1)\}$ such that the path stays (weakly) above the line $y=-t$, is studied.
Andrei Asinowski   +2 more
doaj   +1 more source

CBFISKD: A Combinatorial-Based Fuzzy Inference System for Keylogger Detection

open access: yesMathematics, 2023
A keylogger is a type of spyware that records keystrokes from the user’s keyboard to steal confidential information. The problems with most keylogger methods are the lack of simulated keylogger patterns, the failure to maintain a database of current ...
Femi Emmanuel Ayo   +5 more
doaj   +1 more source

Enumeration of Optimal Equidistant Codes

open access: yesMathematics, 2022
Problems of search and enumeration of binary and ternary equidistant codes are considered in the paper. We investigate some combinatorial algorithms and develop specialized computer packages to find non-equivalent optimal binary and ternary equidistant ...
Galina Bogdanova, Todor Todorov
doaj   +1 more source

On Some Families of Codes Related to the Even Linear Codes Meeting the Grey–Rankin Bound

open access: yesMathematics, 2022
Bounds for the parameters of codes are very important in coding theory. The Grey–Rankin bound refers to the cardinality of a self-complementary binary code. Codes meeting this bound are associated with families of two-weight codes and other combinatorial
Iliya Bouyukliev   +2 more
doaj   +1 more source

On Graph-Transversal Designs and Graph-Authentication Codes Based on Mutually Orthogonal Graph Squares

open access: yesJournal of Mathematics, 2022
Combinatorial designs have many interesting and genuine wide applications in areas including analysis and design of algorithms, cryptography, analysis and design of experiments, storage system design, tournament scheduling, optical communications, and ...
A. El-Mesady   +2 more
doaj   +1 more source

Bio-Constrained Codes with Neural Network for Density-Based DNA Data Storage

open access: yesMathematics, 2022
DNA has evolved as a cutting-edge medium for digital information storage due to its extremely high density and durable preservation to accommodate the data explosion. However, the strings of DNA are prone to errors during the hybridization process.
Abdur Rasool   +3 more
doaj   +1 more source

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