Abstract by anuja a sonalker on Asymmetric Key Distribution

 
Scalability of key Generation & Distribution
0
10
20
30
40
50
60
70
3 out of 5
5 out of 7
7 out of 9
t-out-of-k -->
Total generation & distribution time --> (seconds)
Key Distribution
Key Generation
Figure 4.8: Scalability of AKD for 1024-bit key size for different system sizes. 
As evident from table 4.6 and figure 4.8 we see that the scheme is scalable to some 
extent. For example, for the common 1024 size key, we see that as we increase the 
system size from a 3-out-of-5 to a 7-out-of-9, the total key generation and distribution 

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time varies only from 15 seconds to approximately 22.8 seconds. The key generation 
time, as seen from table 4.6, for each key size is independent of the threshold or the size 
of the system. The variation in total time is mainly due to the key distribution time, which 
involves the key share generation. This is due to the variation in the number of sets and 
the number of shares required by each type of system and is proportional to
1
+
−
t
k
C
k
t
.
4.4.2 Test Case 2: Improper Special Server share. 
A valid signature should not be created if, in any case, the special server was not made 
aware of a transaction and thereby excluding his share. 
To check whether it was possible to create a valid signed share without the Special share, 
first, the Special Server’s share was not allowed to combine with the rest of the shares 
and second, a dummy share was passed as a Special Server share. In either case, when the 
complete signed message was decrypted for verification, the original message was not 
obtained and hence a new call for resigning the certificate was generated by the Special 
Server.