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首页> 外文期刊>International Journal of Innovative Computing Information and Control >DESCRIPTION AND APPLICATIONS OF BINOMIAL NUMERAL SYSTEMS
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DESCRIPTION AND APPLICATIONS OF BINOMIAL NUMERAL SYSTEMS

机译：二项式数值系统的描述和应用

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摘要

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.
机译：我们开发了一类新的位置数字系统，即二项式系统，它构成了广义位置数字系统（GPNS）的子类。由于其错误检测功能，二项式系统在信息传输，处理和存储中具有广泛的应用。在本文中，二项式数字系统定义明确，并建立了它们的前缀和紧致性。提出了生成二项式编码字（非均匀和统一）的算法，以及基于非均匀二项式编码字构造恒权布尔组合的增强过程。确定了此过程的正确性。

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  • 作者

    Alexei A. Borisenko; Vyacheslav V. Kalashnikov; Nataliya I. Kalashnykova; Denis V. Gutenko;

  • 作者单位

    Department of Electronics and Computing Sumy State University Rimsky-Korsakov St. 2, Sumy 40007, Ukraine;

    Systems and Industrial Engineering Tecnologico de Monterrey (ITESM), Campus Monterrey Ave. Eugenio Garza Sada 2501 Sur, Monterrey, Nuevo Leon 64849, Mexico,Experimental Economics Central Economics and Mathematics Institute (CEMI) Russian Academy of Sciences Nakhimovsky pr. 47, Moscow 117418, Russian Federation,Department of Applied Mathematics Sumy State University Rimsky-Korsakov St. 2, Sumy 40007, Ukraine;

    Applied Mathematics Department of Physics and Mathematics (FCFM) Universidad Autonoma de Nuevo Leon (UANL) Ave. Universidad S/N, San Nicolas de los Garza, Nuevo Leon 66450, Mexico;

    Department of Electronics and Computing Sumy State University Rimsky-Korsakov St. 2, Sumy 40007, Ukraine;

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  • 正文语种 eng
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  • 关键词

    Generalized positional numeral systems; Binomial numeral systems; Constant weight codes;

    机译：广义位置数字系统;二项式数字系统;恒重代码;

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