ShannonâÂÂs theorem on entropy provides a theoretical perspective on the „amount of informationâ carried by these codes as well as the lower bound on the average code length. KeywordsĢ-dimensional codes, efficiency, parity check, rectangular code, redundancy, square codeĭigital computers are based on binary codes and digital communication necessitates the error free transmission of bits. The lower and the upper bound of our algorithms are clearly explained. These algorithms are further corroborated by theorems, associated hypotheses and experimental results. In this paper, we propose simple algorithms to clearly prove the greater practical efficiency of the 2-dimensional parity check based coding systems in the „rectangular? framework – as opposed to the established notion of the „square code? being more efficient. The triplicate transmission scheme) is not a viable alternative. All existing computing systems use the ASCII codes) while the repetition of messages (e.g. With respect to this restriction, the parity check is the only feasible error handling scheme that could be adopted in, at least, any intra-system digital communication (e.g. Information transmission in the presence of „white noise? is error prone, but is not as elusive as any arbitrary noise prone channel.
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