The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2)

• Date: 2006
• Main Authors: Masol, V.I., Slobodyan, S.Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/4447
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The normal limit distribution of the number of false solutions of a system of nonlinear random equations in the field GF(2) / V.I. Masol, S.Y. Slobodyan // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 116–126. — Бібліогр.: 3 назв.— англ.

The theorem on a normal limit (n→∞) distribution of the number of false solutions
 of a beforehand consistent system of nonlinear random equations in the field GF(2)
 with independent coefficients is proved. In particular, we assume that each equation
 has coefficients that ta...