I have applied the SHA-256 hash function to the plain image to generate the initial values of the chaotic map in the image encryption algorithm and include it in key space analysis. So, when the receiver wants to decrypt the received image from the transmission, he needs the key, which is the SHA-256 output. Now, someone has asked me, "SHA-256 hash function is applied, how to transmit the hash values but with no extra transmission"?

Anyone can give me some hints on how to transmit the SHA-256 function output without no extra transmission?

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