MathGroup Archive 2005

[Date Index] [Thread Index] [Author Index]

Search the Archive

Complete solution to a modular System of equations


In coding theory one is intersted to find the dual code of a given
code. To do this one has to solve a modular linear equation such as:



eq = {a + b + d == 0, a + c + d == 0, b + c + d == 0}

lhs = {{1, 1, 0, 1}, {1, 0, 1, 1}, {0, 1, 1, 1}}; rhs = {0, 0, 0};

LinearSolve[lhs,{0,0,0},Modulus->2]

Out[52]=
{0,0,0,0}

as you see it returns only one solution. How can I find all solutions.
The number of solutions is a power of 2. For about example there is
exacly one more solution which is

{1,1,1,0}.

Is there any function in Mathematica to do this? or I should start
writing my own code?

thanks for your help in advance!

regards,

chekad


  • Prev by Date: Re: Batch
  • Next by Date: Re: Mathematica: access serial port?
  • Previous by thread: Re: number of digits in n^p
  • Next by thread: Re: Complete solution to a modular System of equations