Encrypt the word THIRD using an alphabetic Caesar shift cipher that starts with shift 3 (mapping A to D), and shifts one additional space after each character is encrypted. =__________ Alphabetic means we're only using the characters ABCDEFGHIJKLMNOPQRSTUVWXYZ
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=__________
Alphabetic means we're only using the characters ABCDEFGHIJKLMNOPQRSTUVWXYZ
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- In the -letter alphabet A described in Example, use the translation cipher with key to encipher the following message. the check is in the mail What is the inverse mapping that will decipher the ciphertext? Example 2 Translation Cipher Associate the letters of the "alphabet" with the integers. Let and define the mapping by where is the key, the number of positions from the plaintext to the ciphertext. If our alphabet consists of through, in natural order, followed by a blank, then we have "letters" that we associate with the integers as follows:Rework Example 5 by breaking the message into two-digit blocks instead of three-digit blocks. What is the enciphered message using the two-digit blocks? Example 5: RSA Public Key Cryptosystem We first choose two primes (which are to be kept secret): p=17, and q=43. Then we compute m (which is to be made public): m=pq=1743=731. Next we choose e (to be made public), where e must be relatively prime to (p1)(q1)=1642=672. Suppose we take e=205. The Euclidean Algorithm can be used to verify that (205,672)=1. Then d is determined by the equation 1=205dmod672 Using the Euclidean Algorithm, we find d=613 (which is kept secret). The mapping f:AA, where A=0,1,2,...,730, defined by f(x)=x205mod731 is used to encrypt a message. Then the inverse mapping g:AA, defined by g(x)=x613mod731 can be used to recover the original message. Using the 27-letter alphabet as in Examples 2 and 3, the plaintext message no problem is translated into the message as follows: plaintext:noproblemmessage:13142615171401110412 The message becomes 13142615171401110412. This message must be broken into blocks mi, each of which is contained in A. If we choose three-digit blocks, each block mim=731. mi:13142615171401110412f(mi)=mi205mod731=ci:082715376459551593320 The enciphered message becomes 082715376459551593320 where we choose to report each ci with three digits by appending any leading zeros as necessary. To decipher the message, one must know the secret key d=613 and apply the inverse mapping g to each enciphered message block ci=f(mi): ci:082715376459551593320g(ci)=ci613mod731:13142615171401110412 Finally, by re-breaking the message back into two-digit blocks, one can translate it back into plaintext. Three-digitblockmessage:13142615171401110412Two-digitblockmessage:13142615171401110412Plaintext:noproblem The RSA Public Key Cipher is an example of an exponentiation cipher.Suppose that the check digit is computed as described in Example . Prove that transposition errors of adjacent digits will not be detected unless one of the digits is the check digit. Example Using Check Digits Many companies use check digits for security purposes or for error detection. For example, an the digit may be appended to a -bit identification number to obtain the -digit invoice number of the form where the th bit, , is the check digit, computed as . If congruence modulo is used, then the check digit for an identification number . Thus the complete correct invoice number would appear as . If the invoice number were used instead and checked, an error would be detected, since .
- Encrypt the word CLAIM using an alphabetic Caesar shift cipher that starts with shift 9 (mapping A to J), and shifts one additional space after each character is encrypted.Encrypt the word SOUND using an alphabetic Caesar shift cipher that starts with shift 23 (mapping A to X), and shifts one additional space after each character is encrypted.5. Cryptography and Codes Encrypt the word SOUND using an alphabetic Caesar shift cipher that starts with shift 23 (mapping A to X), and shifts one additional space after each character is encrypted. =__________________ (Alphabetic means we're only using the characters ABCDEFGHIJKLMNOPQRSTUVWXYZ)
- Decrypt the word OSCEG if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 9 (mapping A to J), and shifts one additional space after each character is encrypted.=______________(Alphabetic means we're only using the characters ABCDEFGHIJKLMNOPQRSTUVWXYZ)uppose the Caesar cipher is used to encrypt the message "MATHEMATICS." Which of the following ciphertext corresponds to this plain text? Group of answer choices a. RFYMJRFYNHX b. OCVJGOCVKEU c. QEXLIQEXMGW d. PDWKHPDWLFVUse RSA cipher from the example we did in class to translate the following message into numeric equivalent and encrypt it. Welcome 12 15 23 27 20 52 15