Construction of a Primary Source Code with Given Code Distances Between Adjacent Code Combinations
A. S. Adzhemov, S. A. Adzhemov, Anastasiya Y. Kudryashova · 2024
During primary encoding, the elements of the original message are assigned certain numbers, usually in binary form. The code combinations of n binary symbols formed in this way differ from each other by a certain code distance di,j. Most often, a weighted (natural) code, as well as a Gray code, are used as primary coding methods in cases where it is required that between all adjacent code combinations there be a code distance equal to one. This requirement follows from the assumption that one-time errors most often occur, which is not always true. Therefore, in these situations, a different distance between adjacent primary coding code combinations is required, which is the subject of research in this article.