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Semester: 7-CBCS 2017 Date: 16 Jan 2021 Subject: CRYPTOGRAPHY (17EC744) Time: 02:30 PM - 04:30 PM Faculty: DR Jagadeesh Chandra A P Max Marks: 30

1. The document is an internal assessment question paper for the subject Cryptography from Adichunchanagiri Institute of Technology, Chikkamagaluru. 2. It contains 4 questions with 2 parts each on topics related to cryptography including Fermat's theorem, Miller-Rabin algorithm, Euler's theorem, Chinese Remainder theorem, RSA algorithm, Diffie-Hellman key exchange, digital signatures etc. 3. Students have to answer any 1 out of the 4 questions that contain theoretical and practical problems to solve related to the cryptographic concepts discussed.

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0% found this document useful (0 votes)
68 views1 page

Semester: 7-CBCS 2017 Date: 16 Jan 2021 Subject: CRYPTOGRAPHY (17EC744) Time: 02:30 PM - 04:30 PM Faculty: DR Jagadeesh Chandra A P Max Marks: 30

1. The document is an internal assessment question paper for the subject Cryptography from Adichunchanagiri Institute of Technology, Chikkamagaluru. 2. It contains 4 questions with 2 parts each on topics related to cryptography including Fermat's theorem, Miller-Rabin algorithm, Euler's theorem, Chinese Remainder theorem, RSA algorithm, Diffie-Hellman key exchange, digital signatures etc. 3. Students have to answer any 1 out of the 4 questions that contain theoretical and practical problems to solve related to the cryptographic concepts discussed.

Uploaded by

Vari
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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1/16/2021 dhI

USN :
Adichunchanagiri Institute of Technology, Chikkamagaluru
DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGINEERING
III - INTERNAL ASSESSMENT

Semester: 7-CBCS 2017 Date: 16 Jan 2021


Subject: CRYPTOGRAPHY (17EC744) Time: 02:30 PM - 04:30 PM
Faculty: Dr Jagadeesh Chandra A P Max Marks: 30

PART A

Answer any1 question(s)

Q.No Marks CO BT/CL

1 a State and prove Fermat’s theorem. Find the value of 3


303
mod11 7 CO3 L2

b Write the Miller Rabin algorithm to test for primality. Using Miller Rabins 8 CO3 L2
algorithm test the given number n=29 for its primality

2 a State and prove Euler’s theorem. Find (i) Φ(41) (ii) Φ(231) 7 CO3 L2

b Explain the Chinese remainder theorem. Demonstrate the Chinese remainder 8 CO3 L2
theorem for n=341(11x31).

PART B

Answer any1 question(s)

Q.No Marks CO BT/CL

3 a What are the important characteristics of public key cryptosystems? In a 7 CO3 L2


public key system using RSA, intercept the cipher text C=10 with public key
e=5, n=35. What is the plain text.

b Consider a Diffie-Hellman scheme with a prime q=11 and a primitive root a=2, 8 CO3 L2
1. Show that 2 is a primitive root of 11
2. If user A has public key=9, what is A’s private key?
3. If user B has public key = 3, what is the secret key shared with A?

4 a What is digital signature? With a neat block diagram explain the concept of 8 CO3 L2
public key cryptosystem with authentication and Secrecy. Perform encryption
and decryption using RSA algorithm for p=11, q=13, e=17, M=7

b Users A and B use the Diffie-Hellman key exchange technique with a common 7 CO3 L2
prime q=19 and a primitive root a=10.
1. Show that 10 is a primitive root of 19
2. If user A has private key 5, what is A’s public key? If user B has private
key 5, what is B’s public key?
3. What is the shared secret key?

https://bgsgroup.dhi-edu.com/bgsgroup_aitckm/#/faculty/schedule/questionpaperpdf?assessment-type=INTERNAL_ASSESSMENT&id=5ffd2ddafaaf0e63fae095d2&archive=false&otherassessment-type=INTERNAL_… 1/1

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