(ii) For p=19, q=23, what is the value of φ?
(iii) Given the following expression for d=(φx+1)/e, what is the Private Key Pr(d,N)?
(iv) For a message M=14, what is the ciphertext C?
(v) For the ciphertext C=142, recover the original message M.
2) What is the number of 4-cycles (cycles of length 4) in a complete bipartite graph Km,n?
These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.1)i). N=p*q =23*19=437 => the public key Pu(e,N) = (11,437)
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