$$e:G_1\times G_1\rightarrow G_2$$ In symmetric pairing-based cryptography with groups$(G_1,G_2)$ of prime order $q$ and $a,b \in Z_q$
Will the size of random generator $P$ from$ G_1$ and $a$ be same? I think it is different. I don't know why.

  • $\begingroup$ What are $a$ and $b$? $\endgroup$ – fkraiem Oct 11 '16 at 9:36
  • $\begingroup$ @fkraiem.$a,b$ selected from $Z_q$ $\endgroup$ – myat Oct 11 '16 at 9:39
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    $\begingroup$ Yes, I can see that much, but what are they for? $\endgroup$ – fkraiem Oct 11 '16 at 11:40
  • $\begingroup$ @fkraiem. They are for pairing-based cryptography. $\endgroup$ – myat Oct 12 '16 at 4:46

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