Answer:
130 bits
Explanation:
If the length of a key = N bits
Total number of key combinations = [tex]\frac{2^{N} }{2}[/tex]
For a key length of 100, the total number of key combinations will be [tex]\frac{2^{100} }{2} = 2^{99}[/tex] combinations. This is a whole lot and it almost seems impossible to be hacked.
The addition of one bit to the length of the symmetric key in 1 year is sufficient to make the key strong, because even at double its speed, the processor can still not crack the number of combinations that will be formed.
Therefore, if a bit is added to the key length per year, after 30 years, the length of the symmetric session key will be 130 bits.