How does RSA blind signature calculation works?

Cryptography Asked by Navid Niknezhad on November 18, 2020

I am having a struggle calculating (ii) and (iii), Can anybody help me with the calculation?

RSA blind signature algorithm:
Given two prime numbers: $p=11$ and $q=3$
The message to be signed is: $M=6$
The public key is: $e=7$

  • (i) List all the possible candidates of the blinding factor $R$.
  • (ii) If the chosen $R$ is $2$, find out $R^{−1}$(inverse).
  • (iii) Calculate the signature with blinding factor $S’$.

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