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Fpt problem in quadratic residues

  1. Oct 12, 2012 #1
    In wikipedia source: http://en.wikipedia.org/wiki/Quadratic_residue

    under "composite modulus" section

    I found the line
    "On the other hand, if we want to know if there is a solution for x less than some given limit c, this problem is NP-complete;however, this is a fixed-parameter tractable problem, where c is the parameter."

    what does it mean by "given limit c , and fixed parameter tractable with c as parameter". Does this mean regardless of large values are given for c as a limit , we can solve the quadratic congruence without knowing the factorization? or does it has any other meaning?
    what is the limit of c such that we cannot solve quadratic congruence using fpt

    If i am wrong or obscure in my question, please notify me.
     
  2. jcsd
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