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- research-articleAugust 2024
PSDCLS: Parallel simultaneous diffusion–confusion image cryptosystem based on Latin square
Journal of Information Security and Applications (JISA), Volume 83, Issue Chttps://doi.org/10.1016/j.jisa.2024.103785AbstractToday, due to the unparalleled growth of multimedia data sharing, especially digital images, between users over insecure channels in real-time applications, cryptography algorithms have gained increasing attention for the secure and efficient ...
- research-articleApril 2024
Further split graphs known to be Class 1 and a characterization of subgraph-overfull split graphs
Discrete Applied Mathematics (DAMA), Volume 345, Issue CPages 114–124https://doi.org/10.1016/j.dam.2023.11.031AbstractThe chromatic index, χ ′ ( G ), is the smallest integer k for which a graph G has a proper edge coloring. The Classification Problem involves determining whether a graph G is Class 1 (χ ′ ( G ) = Δ ( G )) or Class 2 (χ ′ ( G ) = Δ ( G ) + 1). It ...
Highlights- Correction of a flaw in the proof that odd maximum degree split graphs are Class 1.
- Proof that certain split graphs with even maximum degree are Class 1.
- Characterization of the split graphs which are subgraph-overfull, and thus ...
- research-articleMarch 2024
Some results on complete permutation polynomials and mutually orthogonal Latin squares
Finite Fields and Their Applications (FFATA), Volume 93, Issue Chttps://doi.org/10.1016/j.ffa.2023.102320AbstractIn this paper, we investigate some classes of complete permutation polynomials (CPPs) with the form ( L 1 ( x ) ) t + L 2 ( x ) for some specific linearized polynomials L 1 ( x ) and L 2 ( x ) over finite fields. Some constructions of PPs and ...
- ArticleJanuary 2024
Classification of Cells Mapping Schemes Related to Orthogonal Diagonal Latin Squares of Small Order
AbstractVolunteer computing is a cheap yet efficient type of distributed computing, where desktops of private persons are united into projects. Some of these projects are aimed at finding new mathematical objects based on orthogonal systems of Latin ...
- research-articleMarch 2024
On the Classification of Completely Regular Codes with Covering Radius Two and Antipodal Duals
Problems of Information Transmission (PRIT), Volume 59, Issue 3Pages 204–216https://doi.org/10.1134/S003294602303002XAbstractWe classify all linear completely regular codes which have covering radius and whose dual are antipodal. For this, we firstly show several properties of such dual codes, which are two-weight codes with weights and .
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- research-articleJuly 2023
The spectrum of resolvable Bose triple systems
AbstractA classical construction of Bose produces a Steiner triple system of order 3n from a symmetric, idempotent latin square of order n, which exists whenever n is odd. In an application to access-balancing in storage systems, certain Bose ...
- research-articleJune 2023
Latin Square and Machine Learning Techniques Combined Algorithm for Image Encryption
Circuits, Systems, and Signal Processing (CSSP), Volume 42, Issue 11Pages 6829–6853https://doi.org/10.1007/s00034-023-02427-xAbstractMultimedia data is crucial in the military, medical, forensics, social, etc., to transmit a large amount of data. Security of this sensitive information is the primary issue. This paper uses Latin square and machine learning techniques such as ...
- research-articleJune 2023
LSIE: a fast and secure Latin square-based image encryption scheme
Multimedia Tools and Applications (MTAA), Volume 83, Issue 3Pages 7939–7979https://doi.org/10.1007/s11042-023-14786-3AbstractThe current paper proposes LSIE, a fast and secure Latin square-based image encryption scheme using SHA256 hash function and chaotic systems. LSIE uses a 3-tier architecture consisting of diffusion-confusion-diffusion based on Latin squares to ...
- research-articleApril 2023
Defective incidence coloring of graphs
Applied Mathematics and Computation (APMC), Volume 443, Issue Chttps://doi.org/10.1016/j.amc.2022.127781Highlights- Proper incidence coloring of graphs is generalized as defective incidence coloring of graphs.
We define the d-defective incidence chromatic number of a graph, generalizing the notion of incidence chromatic number, and determine it for some classes of graphs including trees, complete bipartite graphs, complete graphs, and ...
- surveyMarch 2023
Improved Random Grid-based Cheating Prevention Visual Cryptography Using Latin Square
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMM), Volume 19, Issue 2sArticle No.: 77, Pages 1–21https://doi.org/10.1145/3550275Visual cryptography scheme is a method of encrypting secret image into n noiselike shares. The secret image can be reconstructed by stacking adequate shares. In the past two decades, many schemes have been proposed to realize the cheating prevention ...
- research-articleJanuary 2023
A novel stream cipher based on quasigroups and QG-PRNG
International Journal of Information and Computer Security (IJICS), Volume 22, Issue 3-4Pages 411–435https://doi.org/10.1504/ijics.2023.135900Stream ciphers that use the XOR-function are vulnerable to known-plaintext and reused-key attacks. To overcome such shortcomings of the existing ciphers, we hereby propose a novel stream cipher based on a quasigroup and a pseudo-random number generator (...
- research-articleNovember 2022
- research-articleOctober 2022
On Codes with Distances and
Problems of Information Transmission (PRIT), Volume 58, Issue 4Pages 352–371https://doi.org/10.1134/S0032946022040068AbstractWe enumerate all -ary additive (in particular, linear) block codes of length and cardinality with exactly two distances: and . For arbitrary codes of length with distances and , we obtain upper bounds on the cardinality via linear programming ...
- research-articleAugust 2022
Ryser's Theorem for ρ -Latin rectangles
Journal of Combinatorial Theory Series A (JCTH), Volume 190, Issue Chttps://doi.org/10.1016/j.jcta.2022.105632AbstractLet L be an n × n array whose top left r × s subarray is filled with k different symbols, each occurring at most once in each row and at most once in each column. We find necessary and sufficient conditions that ensure the remaining ...
- research-articleApril 2022
- research-articleOctober 2021
Double color images compression–encryption via compressive sensing
Neural Computing and Applications (NCAA), Volume 33, Issue 19Pages 12755–12776https://doi.org/10.1007/s00521-021-05921-yAbstractIn this paper, a new double color images encryption algorithm is introduced based on 2D compressive sensing and wavelet basis, which can realize image encryption and compression simultaneously. Firstly, the original images are equally divided into ...
- research-articleSeptember 2021
Isotopy graphs of Latin tableaux
Advances in Applied Mathematics (AAMA), Volume 130, Issue Chttps://doi.org/10.1016/j.aam.2021.102204AbstractLatin tableaux are a generalization of Latin squares, which first appeared in the early 2000's in a paper of Chow, Fan, Goemans, and Vondrák. Here, we extend the notion of isotopy, a permutation group action, from Latin squares to ...
- research-articleAugust 2021
Real-Time Compressed Video Encryption: Based on Quasigroup on System on Chip (SOC)
AbstractVideo is one of the most reliable means of visual communication in a contactless manner. Currently in all work platforms ranging from UAV (Unmanned Aerial Vehicle) platform, IOT platform to software-based video conferencing platform. Video is a ...