Determine relation of m and n-existence of a hash function

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Reference no: EM1367750

Let H be a universal family of hash functions mapping [n] = {0, 1, . . . , n - 1} to [m] = {0, 1, . . . , m - 1}. Find the most general relation of m and n that guarantees the existence of a hash function in H that causes no collision when hashing [n] into [m].

(Hint: Consider that the probability of a random hash function from H causing some collision is strictly less than 1.)

Reference no: EM1367750

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