Chandan K. Dubey, Thomas Holenstein
Abstract
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Let p be a prime and k, t be positive integers. Given a quadratic equation Q(x1,x2,...,xn)=t mod p^k in n-variables; we present a polynomial time Las-Vegas algorithm that samples a uniformly random solution of the quadratic equation.
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Let p be a prime and k, t be positive integers. Given a quadratic equation Q(x1,x2,...,xn)=t mod p^k in n-variables; we present a polynomial time Las-Vegas algorithm that samples a uniformly random solution of the quadratic equation.
Key concepts: Prime power, Modulo, Prime (order theory), Las vegas, Quadratic equation, Mathematics, Discrete mathematics, Combinatorics