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In Encrypted Key Exchange ( EKE ) why do we need to encrypt KA sent by Alice in Step 1 is an RSA key of

In Encrypted Key Exchange $($ EKE $)$ why do we need to encrypt KA sent by Alice in Step $1$ is an RSA key of the form $($ e $,$ N $)$ encrypted with W $.$ Does this make the protocol more secure $,$ less secure or the same? and if it is less secure explai in detail why?

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In Encrypted Key Exchange ( EKE ) why do we need to encrypt KA sent by Alice in Step 1 is an RSA key of

In Encrypted Key Exchange (EKE) why do we need to encrypt KA sent by Alice in Step 1 is an RSA key of the form (e,N) encrypted with W. Does this make the protocol more secure, less secure or the same? and if it is less secure explai in detail why?

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In Encrypted Key Exchange $($ EKE $)$ why do we need to encrypt KA sent by Alice in Step $1$ is an RSA key of the form $($ e $,$ N $)$ encrypted with W $.$ Does this make the protocol more secure $,$ less secure or the same? and if it is less secure explai in detail why?