Uniqueness conditions for the solution of an inhomogeneous system of nonlinear random equations over the field GF(3)

Authors:
V. I. Masol;L. A. Romaschova
Affiliations:
Taras Shevchenko National University, Kiev, Ukraine;Taras Shevchenko National University, Kiev, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2010

Citing 1
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On the distribution of rank of a random matrix over a finite field

Proceedings of the ninth international conference on on Random structures and algorithms

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Abstract

An inhomogeneous consistent system of second-order nonlinear random equations over a field consisting of three elements is considered. The necessary and sufficient condition is found under which the system has a unique solution belonging to a given set of n-dimensional vectors as n 驴驴.