TITLE:
Convolutional Homeomorphic Error-Correcting Codes Utilizing Nano Controlled-Selector Architectural Effectuation
AUTHORS:
Anas N. Al-Rabadi
KEYWORDS:
Error-Control Coding, Homeomorphic Logic, Lattice Networks, Low-Power Computing, Regular Circuits and Systems
JOURNAL NAME:
Journal of Computer and Communications,
Vol.13 No.10,
October
28,
2025
ABSTRACT: A new nano-based architectural design of multiple-stream convolutional homeomorphic error-control coding will be conducted, and a corresponding hierarchical implementation of important class of the homeomorphic Viterbi algorithm within convolutional homeomorphic error-control coding using lattice networks via nano carbon-based field emission controlled-switching will be achieved. Error-correction coding is highly important in modern wireless networking and digital data transaction since channel coding is required to counteract data errors that are encountered in wireless data networking due to the corresponding existence of unavoidable channel noise. Further, the new lattice nano-based implementation will be useful for enhancing the error-control system performance such as the corresponding enhancements within error-correcting capability, regular synthesis, speed improvement and the minimization of power consumption. Logic homeomorphism describes properties-preserving logic mapping that is intrinsically bijective. Homeomorphic property in error-control coding is important since it is shown that the homeomorphism relationship between multiple-streams of data can be used for further correction of errors that are uncorrectable using the implemented decoding algorithm such as in the case of triple-errors that are uncorrectable using the classical Viterbi algorithm. Applications of the new regular nano-based homeomorphic architecture include low-power design of circuits and systems for enhanced and more reliable wireless data networking and transaction.