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I'm trying to figure out how it is composed the RSA key. Follow what I know :

  • For a RSA 2048, 2048 is the bit length of the module.

  • The public key is composed by $(e,M)$ when $e$ is the public exponent and $M$ is the module.

  • The private key is composed by $(d,M)$ when $d$ is the private exponent and $M$ is the module.

Now, I tryed to find info about the standard bit lentght of the exponent without lack. Does anyone have info ? I need to define the max value that $d$ and $e$ can reach. I think that it useless to have the same exponent bit lenght of the module. Is it right ?

haster8558
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1 Answers1

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Generally speaking, the bit length of the exponents are the same as the modulus. Depending on the implementation, there may also be some extra data in the public/private key structure.

Here is a good discussion on the concept of key length as it relates to the public/private values: Private key length bytes

Sean Kornish
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