6. Decode the following Hill 3-cipher if the first nine plaintext letters are IHAVECOME: HPAFQGGDUGDDHPGODYNOR 7. If, in addition to the standard alphabet, a period, comma, and question mark are allowed, then 29 plaintext and ciphertext symbols are available and all matrix arithmetic would be done modulo 29. Under what conditions would a matrix with entries in Z29 be invertible modulo 29?

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6. Decode the following Hill 3-cipher if the first nine plaintext letters are IHAVECOME:
HPAFQGGDUGDDHPGODYNOR
7. If, in addition to the standard alphabet, a period, comma, and question mark are allowed, then
29 plaintext and ciphertext symbols are available and all matrix arithmetic would be done
modulo 29. Under what conditions would a matrix with entries in Z29 be invertible modulo
29?
Transcribed Image Text:6. Decode the following Hill 3-cipher if the first nine plaintext letters are IHAVECOME: HPAFQGGDUGDDHPGODYNOR 7. If, in addition to the standard alphabet, a period, comma, and question mark are allowed, then 29 plaintext and ciphertext symbols are available and all matrix arithmetic would be done modulo 29. Under what conditions would a matrix with entries in Z29 be invertible modulo 29?
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