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Exponentiation is a heavily used operation in public key cryptography. Which of the following options is the tightest upper bound on the number of multiplications required to compute 
- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Exponentiation is a heavily used operation in public key cryptography....
We need to divide
n recursively and compute like following:
n recursively and compute like following:
In this, we need to calculate bn/2 only once.
.
.
Recurrence relation: 
Most Upvoted Answer
Exponentiation is a heavily used operation in public key cryptography....
We can use divide and conquer paradigm here as follows:
int exp(b,n,m)
{
if(n == 0)
return 1;
if(n == 1)
return b % m;
else
{
int split = exp(b, n/2, m);
if(n%2)
return (((split * split) %m ) * n ) %m;
else
return (split * split ) % m;
}
}
Here Recurrence relation would be T(n) = T(n/2) + k. On solving it we will get T(n) = 0(logn)
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Community Answer
Exponentiation is a heavily used operation in public key cryptography....
We need to divide
n recursively and compute like following:
n recursively and compute like following:
In this, we need to calculate bn/2 only once..
.
Recurrence relation:
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