Fibonacci p-codes and Codes of the “Golden” p-proportions: New Informational and Arithmetical Foundations of Computer Science and Digital Metrology for Mission-Critical Applications

In the 70s and 80s years of the past century, the new positional numeral systems, called Fibonaссi p-codes and codes of the golden p-proportions, as new informational and arithmetical foundations of computer science and digital metrology, was considered as one of the most important directions of Soviet computer science and digital metrology for mission-critical applications. The main advantage of this direction was to improve the information reliability of computer and measuring systems. This direction has been patented abroad widely (more than 60 patents of US, Japan, England, France, Germany, Canada and other countries). Theoretical basis of this direction have been described in author’s books "Introduction into the Algorithmic Measurement Theory" (1977), and "Codes of the Golden Proportion" (1984). Unfortunately, these books didn’t be translated into English and, therefore, the Soviet scientific achievements in this field were virtually unknown for Western and world experts in computer science and digital metrology. Under author’s leadership, a number of interesting engineering developments have been carried out. Some of them (self-correcting 18-bit analog-to-digital and digital-to- analog converters) exceeded the world level. Unfortunately, after the collapse of the Soviet Union in 1991, government funding of these developments was stopped. However, theoretical developments in this area continued. The purpose of this article is to state the history and the main scientific and engineering achievements in this field, as one of the important direction in the improvement of informational reliability of computer and measuring systems for mission-critical applications.