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Error characterization and error correction approaches in combinatorial DNA-based storage [PDF]
Scientific ReportsData 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
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Combinatorial design-based quasi-cyclic LDPC codes with girth eight
Digital 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
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Fractional Repetition Codes With Flexible Repair From Combinatorial Designs [PDF]
IEEE Transactions on Information Theory, 2016 Fractional repetition (FR) codes are a class of regenerating codes for distributed storage systems with an exact (table-based) repair process that is also uncoded, i.e., upon failure, a node is regenerated by simply downloading packets from the surviving
Oktay Olmez, Aditya Ramamoorthy
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Combinatorial Alphabet-Dependent Bounds for Locally Recoverable Codes
IEEE Transactions on Information Theory, 2018 Locally recoverable (LRC) codes have recently been a focus point of research in coding theory due to their theoretical appeal and applications in distributed storage systems.
Abhishek Agarwal +2 more
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Quantum XYZ Product Codes [PDF]
Quantum, 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
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Down-step statistics in generalized Dyck paths [PDF]
Discrete 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
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CBFISKD: A Combinatorial-Based Fuzzy Inference System for Keylogger Detection
Mathematics, 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
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Enumeration of Optimal Equidistant Codes
Mathematics, 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
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On Some Families of Codes Related to the Even Linear Codes Meeting the Grey–Rankin Bound
Mathematics, 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
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Journal 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
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