TRANSFORMATION OF COMBINATIONS FOR DIFFERENT CODE LENGTHS IN THE PERMUTATIONAL DECODING PROCESS

This article presents a deep analysis and evaluation of the effectiveness of the transformation mechanisms for non-productive combinations in the permutational decoder. This research is crucial for optimization of the processes related to the transformation of elements from the complete list of non-productive permutations of numerators into elements from the complete list of productive permutations of numerators. Various approaches to implementation of the procedure for permitting forbidden numerators are considered, which allows to identify complexities and challenges arising during encoding for different code lengths. Special attention is given to the analysis of algorithmic aspects and time complexity, which not only allows to assess the effectiveness of the proposed methods but also helps to identify potential bottlenecks in existing solutions. The study also includes a comparison of various strategies and algorithms, contributing to a deeper understanding of the decoding process and the transformation of permutations.