I need to solve a symbolic linear equation : x*A=b , where x is a 500 dimension unknown variable, A is a matrix of size 500 x 500 of symbolic variables over finite field, b is vector of length 500 like (0,......,1). I have defined the Boolean polynomial ring over
finite field of 500 variables. I used solve_right() function in this case. It is taking infinite amount of time to solve the equation. Please help me to solve this problem. Thanks in advance.
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Each entry of the A matrix is either boolean function of 256 variables or element in GF(2).
On Saturday, November 2, 2019 at 3:03:37 PM UTC+5:30, Subrata Nandi wrote:I need to solve a symbolic linear equation : x*A=b , where x is a 500 dimension unknown variable, A is a matrix of size 500 x 500 of symbolic variables over finite field, b is vector of length 500 like (0,......,1). I have defined the Boolean polynomial ring over finite field of 500 variables. I used solve_right() function in this case. It is taking infinite amount of time to solve the equation. Please help me to solve this problem. Thanks in advance.
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On Sat, Nov 2, 2019 at 9:56 AM Subrata Nandi <subrat...@iitg.ernet.in> wrote:Each entry of the A matrix is either boolean function of 256 variables or element in GF(2).
To start, I would try to find the inverse with a much smaller example(small number of variables, small dimensions) using gauss elimination.
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On Saturday, November 2, 2019 at 3:03:37 PM UTC+5:30, Subrata Nandi wrote:I need to solve a symbolic linear equation : x*A=b , where x is a 500 dimension unknown variable, A is a matrix of size 500 x 500 of symbolic variables over finite field, b is vector of length 500 like (0,......,1). I have defined the Boolean polynomial ring over finite field of 500 variables. I used solve_right() function in this case. It is taking infinite amount of time to solve the equation. Please help me to solve this problem. Thanks in advance.
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