If A1,...,An be users in a network , and they want to use El-Gamal cryptosystem for their cryptography . I want to know what amount of memory used for the job better for every one of A1 , ... , An. for example n=2^10 . In fact in this example how many initial points is better to use ??

For example If I use about 100 initial point in my program and If keys sizes are 512 bits , 2*100*2^10*512 bits memory need for every users . 2^20*100 bits = 12.5 MB !!!  Is it colophon & reasonable ?

Thank you all .

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