Search academic texts

Information × Registration Number 2114U001470, Article popup.category Стаття Title popup.author popup.publication 01-01-2014 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/62102 popup.publisher ICIC International Description We develop a new class of positional numeral systems, namely the binomial ones, which form a subclass of generalized positional numeral systems (GPNS). The binomial systems have wide range of applications in the information transmission, processing, and storage due to their error-detection capabilities. In this paper, the binomial numeral systems are well-defined, their prefix and compactness properties are established. Algorithms of generating binomial coding words (non-uniform and uniform) are presented, as well as an enhanced procedure of construction of constant weight Boolean combinations based upon the non-uniform binomial coding words. The correctness of this procedure is established. popup.nrat_date 2025-05-12 Close