Open AccessThe normal limit distribution of the normalized number of false solutions of a one system of nonlinear random equations over the field GF(2)
Author(s) -
Stanislav Slobodian
Publication year - 2014
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.6.1.149-160
Subject(s) - mathematics , limit (mathematics) , nonlinear system , distribution (mathematics) , random field , field (mathematics) , mathematical analysis , statistics , pure mathematics , quantum mechanics , physics
The theorem on a normal limit distribution of the normalized number of false solutions of a beforehand consistent system of nonlinear random equations over the field GF(2) is proved. The results with the additional condition on the number of nonzero components both false solutions and true solution of the solutions are obtained.