Congestion-Control
December 4, 2023
GATE 2006-IT
December 4, 2023
Congestion-Control
December 4, 2023
GATE 2006-IT
December 4, 2023

Computer-Networks

Question 81

The total number of keys required for a set of n individuals to be able to communicate with each other using secret key and public key crypto-systems, respectively are:

A
n(n-1) and 2n
B
2n and n(n-1)/2
C
n(n-1)/2 and 2n
D
n(n-1)/2 and n
Question 81 Explanation: 
For private key crypto, a key used for encryption as well as decryption. So, no. of keys required for n individuals is same as no. of communication link between any two individuals which is
nC2 = n(n-1)/2
In case of public key, each sender has its own public key as well as private key. So, no. of keys are 2n.
Correct Answer: C
Question 81 Explanation: 
For private key crypto, a key used for encryption as well as decryption. So, no. of keys required for n individuals is same as no. of communication link between any two individuals which is
nC2 = n(n-1)/2
In case of public key, each sender has its own public key as well as private key. So, no. of keys are 2n.
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