CongestionControl
December 4, 2023GATE 2006IT
December 4, 2023ComputerNetworks
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 cryptosystems, respectively are:
n(n1) and 2n


2n and n(n1)/2


n(n1)/2 and 2n


n(n1)/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
^{n}C_{2} = n(n1)/2
In case of public key, each sender has its own public key as well as private key. So, no. of keys are 2n.
^{n}C_{2} = n(n1)/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
^{n}C_{2} = n(n1)/2
In case of public key, each sender has its own public key as well as private key. So, no. of keys are 2n.
^{n}C_{2} = n(n1)/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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