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Special Issue: Combinatorial Designs, Codes and Cryptography

Guest Editor

Prof. Raul M. Falcon
Departamento de Matemática Aplicada I. Universidad de Sevilla. Spain
Email: rafalgan@us.es

Manuscript Topics


Abstract: The aim of this Special Issue is to publish original research papers on combinatorial design theory, coding theory, graph theory, algebraic combinatorics and finite geometry, with particular emphasis on establishing new synergies among them, and new applications to other fields and to the real world, including artificial intelligence, communication networks, cryptography,  computer science, hardware and software design, design of experiments, logistics, machine learning, and scheduling or transportation networks, amongst others. Potential topics of this Special Issue include but are not limited to the following:


• Construction of combinatorial designs, codes and graphs related to finite groups, finite fields and finite geometries.
• Construction of linear codes from graphs and combinatorial designs.
• Construction of error-correcting codes, quantum codes and network codes related to combinatorial structures.
• Hadamard matrices.
• Latin squares, quasigroups, and related algebras.
• Quantum cryptography.


Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/

Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 01 November 2024

Published Papers(16)

Survey
For what algebraic systems does a useful privacy homomorphism exist?
Valentina Grazian Antonio Tortora Maria Tota
2025, Volume 10, Issue 4: 9539-9562. doi: 10.3934/math.2025440
Abstract HTML PDF Viewed (411)
Research article
Ultimate linear block and convolutional codes
Ted Hurley
2025, Volume 10, Issue 4: 8398-8421. doi: 10.3934/math.2025387
Abstract HTML PDF Viewed (606)
Research article
Concurrent factorization of RSA moduli via weak key equations
Wan Nur Aqlili Ruzai You Ying Khairun Nisak Muhammad Muhammad Asyraf Asbullah Muhammad Rezal Kamel Ariffin
2024, Volume 9, Issue 10: 28211-28231. doi: 10.3934/math.20241368
Abstract HTML PDF Cited (1) Viewed (1260)
Research article
Cryptanalysis of hyperchaotic S-box generation and image encryption
Mohammad Mazyad Hazzazi Gulraiz Rashad Ali Muhammad Kamran Jamil Sameer Abdullah Nooh Fahad Alblehai
2024, Volume 9, Issue 12: 36116-36139. doi: 10.3934/math.20241714
Abstract HTML PDF Cited (2) Viewed (944)
Research article
Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications
Abdul Razaq Muhammad Mahboob Ahsan Hanan Alolaiyan Musheer Ahmad Qin Xin
2024, Volume 9, Issue 12: 35377-35400. doi: 10.3934/math.20241681
Abstract HTML PDF Cited (1) Viewed (849)
Research article
Orthogonal and oriented Fano planes, triangular embeddings of K7, and geometrical representations of the Frobenius group F21
Simone Costa Marco Pavone
2024, Volume 9, Issue 12: 35274-35292. doi: 10.3934/math.20241676
Abstract HTML PDF Viewed (817)
Research article
Construction of marginally coupled designs with mixed-level qualitative factors
Weiping Zhou Wan He Wei Wang Shigui Huang
2024, Volume 9, Issue 12: 33731-33755. doi: 10.3934/math.20241610
Abstract HTML PDF Cited (1) Viewed (849)
Research article
Perfect directed codes in Cayley digraphs
Yan Wang Kai Yuan Ying Zhao
2024, Volume 9, Issue 9: 23878-23889. doi: 10.3934/math.20241160
Abstract HTML PDF Viewed (1077)
Research article
On Hadamard 2-(51,25,12) and 2-(59,29,14) designs
Doris Dumičić Danilović Andrea Švob
2024, Volume 9, Issue 8: 23047-23059. doi: 10.3934/math.20241120
Abstract HTML PDF Viewed (1186)
Research article
Optimizing SNARK networks via double metric dimension
Muhammad Ahmad Muhammad Faheem Sanaa A. Bajri Zohaib Zahid Muhammad Javaid Hamiden Abd El-Wahed Khalifa
2024, Volume 9, Issue 8: 22091-22111. doi: 10.3934/math.20241074
Abstract HTML PDF Viewed (1208)
Research article
Structures and applications of graphs arising from congruences over moduli
Sufyan Asif Muhammad Khalid Mahmood Amal S. Alali Abdullah A. Zaagan
2024, Volume 9, Issue 8: 21786-21798. doi: 10.3934/math.20241059
Abstract HTML PDF Viewed (1393)
Research article
On the minimum distances of binary optimal LCD codes with dimension 5
Yang Liu Ruihu Li Qiang Fu Hao Song
2024, Volume 9, Issue 7: 19137-19153. doi: 10.3934/math.2024933
Abstract HTML PDF Cited (2) Viewed (1218)
Research article
Construction of a cryptographic function based on Bose-type Sidon sets
Julian Osorio Carlos Trujillo Diego Ruiz
2024, Volume 9, Issue 7: 17590-17605. doi: 10.3934/math.2024855
Abstract HTML PDF Viewed (1391)
Research article
Characterizing edge-based doubly resolving sets within circulant networks Cn(1,2)
Ruby Nasir Muhammad Ahmad Zohaib Zahid Sanaa A. Bajri Hamiden Abd El-Wahed Khalifa
2024, Volume 9, Issue 6: 15857-15874. doi: 10.3934/math.2024766
Abstract HTML PDF Viewed (1017)
Research article
Implementation of multi-criteria decision making for the ranking of drugs used to treat bone-cancer
Fozia Bashir Farooq
2024, Volume 9, Issue 6: 15119-15131. doi: 10.3934/math.2024733
Abstract HTML PDF Cited (4) Viewed (1271)
Research article
On the packing number of 3-token graph of the path graph Pn
Christophe Ndjatchi Joel Alejandro Escareño Fernández L. M. Ríos-Castro Teodoro Ibarra-Pérez Hans Christian Correa-Aguado Hugo Pineda Martínez
2024, Volume 9, Issue 5: 11644-11659. doi: 10.3934/math.2024571
Abstract HTML PDF Viewed (1634)