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On roots of irreducible quadratics modulo composites

Assume factorization of $N$ is unknown. What is the best complexity we know to find roots of the irreducible equation $$ax^2+bx+c\equiv0\bmod N?$$

Is this problem equivalent to any hardness results?

On roots of quadratics modulo composites

Assume factorization of $N$ is unknown. What is the best complexity we know to find roots of the equation $$ax^2+bx+c\equiv0\bmod N?$$

Is this problem equivalent to any hardness results?

On roots of irreducible quadratics modulo composites

Assume factorization of $N$ is unknown. What is the best complexity we know to find roots of the irreducible equation $$ax^2+bx+c\equiv0\bmod N?$$

Is this problem equivalent to any hardness results?

Source Link
Turbo
  • 13.9k
  • 1
  • 27
  • 76

On roots of quadratics modulo composites

Assume factorization of $N$ is unknown. What is the best complexity we know to find roots of the equation $$ax^2+bx+c\equiv0\bmod N?$$

Is this problem equivalent to any hardness results?