TITLE:
Novel Joint Cybersecurity-Channel Coding Scheme via Homeomorphism and Nano Controlled-Switching Lattice Grids, Part I: New Results
AUTHORS:
Anas N. Al-Rabadi
KEYWORDS:
Cybersecurity, Channel Coding, Logic Homeomorphism
JOURNAL NAME:
Journal of Computer and Communications,
Vol.14 No.9,
September
30,
2026
ABSTRACT: A new homeomorphic joint cybersecurity-channel coding method is introduced for the first time in this article. Channel coding plays a crucial role in contemporary wireless networking and data transmission, as it is essential for mitigating data errors that arise during data transmissions due to the inevitable presence of channel noise, thereby ensuring increased data integrity and thus enhancing reliability. Further, cybersecurity is highly important in modern wireless data transaction since wireless networks are highly exposed to malicious attacks and eavesdropping, and thus ensuring higher levels of confidentiality, integrity and availability. Logic homeomorphism describes properties-preserving mapping which is bijective. In addition to its necessity in advanced computing paradigms such as within quantum computing, it is introduced for the first time in this article that logic homeomorphism can be used to achieve joint cybersecurity-channel coding design. Further, it is also introduced that the property of logic homeomorphism is important within cybersecurity since one can achieve higher confidentiality using new symmetric key ks and the corresponding key-generated homeomorphic mapping Algorithmn, and within channel coding since it is shown that homeomorphism relationship between data can be used for further correction within many-error situations that are usually uncorrectable. This first part of the article will introduce new results of novel homeomorphic joint cybersecurity-channel coding scheme that will be effectuated in the second part of the article using hierarchical design via regular lattice grids and nano-based carbon multiplexers where the implementation of an important class of homeomorphic joint cybersecurity-Viterbi decoder will be demonstrated. The introduced method of new joint cybersecurity-channel coding scheme will be useful for improving implemented ASIC system characteristics of confidentiality and data integrity, in addition to the hierarchical implementation of nano-based regular lattice design that will be useful to enhance other important system characteristics such as speed improvement, size reduction and power minimization.