Question

17 (a) Prove that a permutation π in the Permutation Cipher is an involutory key if...

17 (a) Prove that a permutation π in the Permutation Cipher is an involutory key if and only if π(i) = j implies π(j) = i, for all i, j E {1, . . . , m}

(b) Determine the number of involutory keys in the Permutation Cipher for m = 2,3, 4, 5 and 6.

0 0

> For a given permutation cipher “DEEEGLLMMOOOVVY”, please decrypt it (and show the details). how to solve it ?

Naqed Shaker Tue, Nov 23, 2021 1:41 AM

Add a comment Improve this question Transcribed image text
Answer #1

Solution 0 since a key k is invoulogy is Eu (0) : Dx (d) foo any plainted a. In the case of peomutation cipheo, this oelalive0 let Pm denote the number of involubony brey of block : size m. we have P=1 and P2 =2 Now, suppose had we have computed thePm Pm-1 + (m-1) Pm-2 Foo m upto 6 we have that P,= 1; P2=2 Then Pz= Patapi P₂=2+2(1) Pu= P₂ +382 : 4+3127 = 4+6=10 Pg= putuP3Dear student if you have any Doubt Please Ask, Thank you.

Add a comment
Know the answer?
Add Answer to:
17 (a) Prove that a permutation π in the Permutation Cipher is an involutory key if...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Decrypting the APCO cipher without the key. Decryption without the key is obviously a much more...

    Decrypting the APCO cipher without the key. Decryption without the key is obviously a much more difficult process. Indeed, the purpose of encryption is to make it as difficult as possible for anyone who does not know the key to read the plain text. We will be using an unsophisticated password cracking technique called a brute force attack. A brute force attack on the APCO cipher works by trying every possible four digit key (from 0000 to 9999) and keeping...

  • Assignment 7: Caesar Cipher Assignment 7 You will create a Caesar cipher which allows the user...

    Assignment 7: Caesar Cipher Assignment 7 You will create a Caesar cipher which allows the user to specify the key and the text to be encrypted. A Caesar cipher is a simple substitution cipher wherein each letter in the message is shifted a certain number of spaces down the alphabet -- this number is called the key. a b c d e f g h i j k l m n o p q r s t u v w...

  • Computer Security Question about the Caesar Cipher: I also don't know this part of the problem...

    Computer Security Question about the Caesar Cipher: I also don't know this part of the problem Hello I am not sure how to figure this out Hello so for question 3, I think its +23 "the password is qqzzqqz" choose the correct multiple choice Question1 2 pts The following cipher text was produced by the Caesar Cipher: The Caesar cipher cryptanalysis technique from lecture calculates the most likely keys. When the technique is applied in this case, which of the...

  • Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 . Computez1z2. (a) 8(cos?π?+isin?π?)...

    Supposez1 =4 cos 3 +isin 3 andz2 =2 cos 6 +isin 6 . Computez1z2. (a) 8(cos?π?+isin?π?) 22 (b) 4(cos?4π?+isin?4π?) 66 (c) 2(cos?π?+isin?π?) 66 (d) cos(π)+isin(π) (e) 8(cos?π?+isin?π?) 66 17. Suppose z1 = 4 (cos (1) + i sin (5)) and z2 = 2 (cos () + i sin (7)). Compute z122. (a) 8(cos (7) + i sin (7)) (b) 4(cos (4) + i sin (*)) (c) 2(cos (7) + i sin ()) (d) cos(T) + i sin(TT) (e) 8(cos (7)...

  • Computer Engineering 4. (20 pts) If a user of a comms system wants to utilize the...

    Computer Engineering 4. (20 pts) If a user of a comms system wants to utilize the RSA public key encryption with p = 11 and q = 7 find their public and private keys and encrypt the message, “cyber”, using the numeric value of 1 to represent an 'a', 2 = 'b', etc. Also, show the first step in the deciphering process of this message by the user (i.e. show the first calculation based off of the received cipher for...

  • Question 6: Let n 2 2 be an integer and let ai,a2,...,an be a permutation of...

    Question 6: Let n 2 2 be an integer and let ai,a2,...,an be a permutation of the set (1, 2, . . . ,n). Define ao = 0 and an+1 = 0, and consider the sequence do, 1, d2, l3, . . . , Un, Un+1 A position i with 1 i n is called auesome, if ai > ai-1 and ai > ai+1. In words, i is awesome if the value at position i is larger than both its...

  • 3) (10 pts) For the purposes of this question, a permutation of size n is any...

    3) (10 pts) For the purposes of this question, a permutation of size n is any ordering of the integers 0, 1, 2, ..., n-1. We define a spaced-out permutation of size n to be a permutation such that two consecutive terms in the permutation differ by at least 2. For example, [0, 2, 4, 1, 3] is a spaced out permutation of size 5, and [5, 2, 4, 0, 3, 1] is a spaced out permutation of size 6,...

  • Can i get Playfair Cipher for python 3 that encrypts a message and decrypts it, could...

    Can i get Playfair Cipher for python 3 that encrypts a message and decrypts it, could you possibly make it as simple as you can without losing functionality. please include comments, that would help me better understand Example of PlayFair Cipher: https://en.wikipedia.org/wiki/Playfair_cipher The Playfair cipher uses a 5 by 5 table containing a key word or phrase. Memorization of the keyword and 4 simple rules was all that was required to create the 5 by 5 table and use the...

  • Discrete Math 1. Use the primes P1 = 3 and P2 = 17 and the value...

    Discrete Math 1. Use the primes P1 = 3 and P2 = 17 and the value E = 3 with the RSA algorithm to compute the values below needed to get the keys: What is the value of N? What is the value of Z? What is the value of D? (ABET 5) Using the values from the problem 9) above, show how to encrypt the message, M = 44. Do NOT simplify, just show the computation needed to encrypt...

  • (1 point) Let f be a permutation on the set {1, 2, 3, 4, 5, 6,...

    (1 point) Let f be a permutation on the set {1, 2, 3, 4, 5, 6, 7, 8, 9), defined as follows f= 1 2 3 4 5 6 7 8 9 1 2 5 8 3 9 4 6 7 (a) Write the permutation f7 as a product of disjoint cycles, separated by commas (e.g. (1, 2), (3,4,5),...). Do not include 1-cycles (e.g. (2) ) in your answer. (b) Determine the smallest value of k > O such that...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT