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

• Дата: 2006
• Автори: Masol, V.I., Slobodyan, S.Y.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2006
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/4447
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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 take values 0 and 1 with e...