5. Suppose you have a language with only the 3 letters a, b, c, and they occur with frequencies .7, .2, .1, respectively. The following ciphertext was encrypted by the Vigenere method (shifts are mod 3 instead of mod 26, of course): ABCBABBBAC. Suppose you are told that the key length is 1, 2, or 3. Show that the key length is probably 2, and determine the most probable key.
5. Suppose you have a language with only the 3 letters a, b, c, and they occur with frequencies .7, .2, .1, respectively. The following ciphertext was encrypted by the Vigenere method (shifts are mod 3 instead of mod 26, of course): ABCBABBBAC. Suppose you are told that the key length is 1, 2, or 3. Show that the key length is probably 2, and determine the most probable key.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![5. Suppose you have a language with only the 3 letters a, b, c, and they occur with frequencies
.7, .2, .1, respectively. The following ciphertext was encrypted by the Vigenere method (shifts
are mod 3 instead of mod 26, of course):
ABCBABBBAC.
Suppose you are told that the key length is 1, 2, or 3. Show that the key length is probably 2,
and determine the most probable key.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7d9d7e5-88c9-49a6-a2c3-dedc8dbb73ca%2F9f8684a1-776c-4416-93b6-846176ffe6a8%2Fii4x23r.png&w=3840&q=75)
Transcribed Image Text:5. Suppose you have a language with only the 3 letters a, b, c, and they occur with frequencies
.7, .2, .1, respectively. The following ciphertext was encrypted by the Vigenere method (shifts
are mod 3 instead of mod 26, of course):
ABCBABBBAC.
Suppose you are told that the key length is 1, 2, or 3. Show that the key length is probably 2,
and determine the most probable key.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 7 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)