Can E(M,K) = C Replace Ek(M) = C in Cryptography Notation?

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Teachme
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I was just reading a cryptography book and have a question about something the author states I highlighed the statement in yellow and included a pictures.
So I was wondering if the function could be written as E(M,K) = C instead of Ek(M)=C since the fact that E is dependent on K. If not why couldn't you write it as this?

Thanks
 
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  • Scanned page of a cryptography textbook with a yellow-highlighted paragraph on symmetric-key encryption, followed by the equations E_k(M) = C and D_k(C) = M.
    crypt.png
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Sorry thanks,
here is fixed pic
 
Attachments
  • Printed text page on modern cryptography: a key K from a large keyspace, with the phrase 'they are dependent on the key and this fact is denoted by the k subscript' highlighted in yellow, followed by E_K(M) = C and D_K(C) = M.
    crypt.png
    15.4 KB · Views: 518