Entity A wants to send a message "SECURITY" confidentially to the another entity B using Hill cipher. Show your calculations and the results for computing the ciphertext. Also show the calculations for the decryption of the ciphertext at receiver side to recover the original plaintext. Considered key value is given below. Note: If require use x as filler letter. 7)Entity A wants to send a message "SECURITY" confidentially to the another entity (10)B using Hill cipher. Show your calculations and the results for computing theciphertext. Also show the calculations for the decryption of the ciphertext atreceiver side to recover the original plaintext. Considered key value is given below.Note: If require use x as filler letter.6 24 113 16 1020 17 15 VITVITAPVIT APIntroduction to Cryptography [CSE1007 - 381]Marks: 50Duration: 90 mins.AAnswer all the questions.1)How many number of keys are required for a set of n individuals to be able to (1)communicate with each other using secret key and public key crypto-systems.а)A post office sells only 3$ and 6$ stamps. Find the number of stamps a customer (1)needs to buy to put 15$ postages on a package. Find few solutions.c)Jove wants to use an algebraic structure Group for his security algorithm. Suggest (1)7*, * will be a solution or not for Jove's security algorithm.d)Define the type of attack in the following case: Somehow EVE has stolen the ATM (1)card and PIN of Alice and withdrawn money from the Alice's account.Suggest a security mechanism/service for avoiding the attack in question part (d).(1)2)Professor want to send a question paper securely to the examination coordinator. (5)For that, professor encrypts the file using affine cipher. Anyhow student capturedthe file and get to know that the file is encrypted using AFFINE Cipher and key is(11, 4). If captured file name is "GEFD", then tell which subject paper has beenleaked.3)Cryptography requires sets of integers and specific operations that are defined for (5)those sets. Two communicating parties require a cyclic Group and its generatorsfor their encryption/decryption algorithms. Help them to identify whether they canuse (Z18, *) if yes then find out the generators.In cryptography often we require to compute remainders of powers of integers (5)when divided by an integer (XY mod C). Unfortunately, XY becomes very large foreven modest sized values of Y. Joseph needs to compute 1941 modulo 21 to getthe security key for her encryption algorithm. Help out Joseph to get the requiredvalue.4)ВAnswer all the questions.5)Alice communicates some secret message to John. Attacker EVE exist in the (10)network and capturing the communications, anyhow EVE gets to know that thesecurity algorithm in use is playfair cipher and key is "CRYPTOGRAPHY". Ifcaptured ciphertext is "XFQBFQHELQBCFMDCABVFLVZBLD" then find out actualplaintext decrypted by EVE.6)Commodore forwards a message "Attack tomorrow at seven am" to the captain by (10)using most recent transposition cipher (combining two approaches) with the key [3154 2]. Find the Ciphertext and the Decryption key, and decrypt the ciphertext toget the plaintext back. Note: If require use x as filler letter.Entity A wants to send a message "SECURITY" confidentially to the another entity (10)B using Hill cipher. Show your calculations and the results for computing theciphertext. Also show the calculations for the decryption of the ciphertext atreceiver side to recover the original plaintext. Considered key value is given below.Note: If require use x as filler letter.6 24 113 16 1020 17 15-----End-----

Question

Entity A wants to send a message &#34;SECURITY&#34; confidentially to the another entity B using Hill cipher. Show your calculations and the results for computing the ciphertext. Also show the calculations for the decryption of the ciphertext at receiver side to recover the original plaintext. Considered key value is given below. Note: If require use x as filler letter. 7)Entity A wants to send a message &#34;SECURITY&#34; confidentially to the another entity (10)B using Hill cipher. Show your calculations and the results for computing theciphertext. Also show the calculations for the decryption of the ciphertext atreceiver side to recover the original plaintext. Considered key value is given below.Note: If require use x as filler letter.6 24 113 16 1020 17 15 VITVITAPVIT APIntroduction to Cryptography [CSE1007 - 381]Marks: 50Duration: 90 mins.AAnswer all the questions.1)How many number of keys are required for a set of n individuals to be able to (1)communicate with each other using secret key and public key crypto-systems.а)A post office sells only 3$ and 6$ stamps. Find the number of stamps a customer (1)needs to buy to put 15$ postages on a package. Find few solutions.c)Jove wants to use an algebraic structure Group for his security algorithm. Suggest (1)7*, *> will be a solution or not for Jove's security algorithm.d)Define the type of attack in the following case: Somehow EVE has stolen the ATM (1)card and PIN of Alice and withdrawn money from the Alice's account.Suggest a security mechanism/service for avoiding the attack in question part (d).(1)2)Professor want to send a question paper securely to the examination coordinator. (5)For that, professor encrypts the file using affine cipher. Anyhow student capturedthe file and get to know that the file is encrypted using AFFINE Cipher and key is(11, 4). If captured file name is &#34;GEFD&#34;, then tell which subject paper has beenleaked.3)Cryptography requires sets of integers and specific operations that are defined for (5)those sets. Two communicating parties require a cyclic Group and its generatorsfor their encryption/decryption algorithms. Help them to identify whether they canuse (Z18, *) if yes then find out the generators.In cryptography often we require to compute remainders of powers of integers (5)when divided by an integer (XY mod C). Unfortunately, XY becomes very large foreven modest sized values of Y. Joseph needs to compute 1941 modulo 21 to getthe security key for her encryption algorithm. Help out Joseph to get the requiredvalue.4)ВAnswer all the questions.5)Alice communicates some secret message to John. Attacker EVE exist in the (10)network and capturing the communications, anyhow EVE gets to know that thesecurity algorithm in use is playfair cipher and key is &#34;CRYPTOGRAPHY&#34;. Ifcaptured ciphertext is &#34;XFQBFQHELQBCFMDCABVFLVZBLD&#34; then find out actualplaintext decrypted by EVE.6)Commodore forwards a message &#34;Attack tomorrow at seven am&#34; to the captain by (10)using most recent transposition cipher (combining two approaches) with the key [3154 2]. Find the Ciphertext and the Decryption key, and decrypt the ciphertext toget the plaintext back. Note: If require use x as filler letter.Entity A wants to send a message &#34;SECURITY&#34; confidentially to the another entity (10)B using Hill cipher. Show your calculations and the results for computing theciphertext. Also show the calculations for the decryption of the ciphertext atreceiver side to recover the original plaintext. Considered key value is given below.Note: If require use x as filler letter.6 24 113 16 1020 17 15-----End-----

Accepted Answer

Given,

Message:  SECURITY
Key = 6 241131610201715
Each alphabet is represented with its equivalent…