The number of solutions for the equation or the system equations over a finite field
Yang Ji · 2000
Firstly,the solutions for the equation or the system of equations over a finite field are classified by using whether it's components are zero or not.Secondly,the calculation of the number of solutions for every type is transformed into the calculation of the number of solutions for the equation or the system of equations over a finite field that their every component is not zero.Finally,the number of solutions is calculated by using the formula of the number of solutions for the system of linear congruece and the formulas of the number of solutions for the equation or the system of equation are gotten.