Rsa encryption function- cryptography, Computer Engineering

The general method for constructing the parameters of the RSA cryptosystem can be described as follows:

  • Select two primes p and q
  • Let N = pq and determine ∅ (N) = (p - 1)(q - 1)
  • Randomly choose e in the range 1 < e < ∅ N, such that gcd (e,N) = 1
  • Determine d as the solution to ed ≡ 1 mod ∅ (N)
  • Publish (e,N) as the public key

a. Show that a valid public key pair can still be constructed if we use only one prime

p, such that N =p and ∅ (N) = (p - 1).

b. If we use this "one-prime" RSA construction and publish the public key (e, N),why is it easy to recover the secret key d?

c. Let RSA(M) denote the encryption of the message M using the pair (e, N). Show that the RSA encryption function has the following property for any two messages M1 and M2

            RSA (M1 × M2) =  RSA(M1) × RSA (M2)

That is, the encryption of a product is equal to the product of the encryptions.

Tasks:

a. Show that "one-prime" construction produces a valid public key

b. Show the steps to recover d

c. Mathematical argument to show the property

Posted Date: 3/6/2013 3:18:42 AM | Location : United States







Related Discussions:- Rsa encryption function- cryptography, Assignment Help, Ask Question on Rsa encryption function- cryptography, Get Answer, Expert's Help, Rsa encryption function- cryptography Discussions

Write discussion on Rsa encryption function- cryptography
Your posts are moderated
Related Questions

Q. What is Drawbacks of CD- ROM? Drawbacks of CD- ROM are as below: 1. It is read-only and can't be updated. 2. It has an access time much longer than magnetic disk dri

Advntages of parallel processing oversequential computation Parallel computing has the following benefits over sequential computing: i)    Accumulate time ii)   Solves b

Explain analysis and synthesis phase of a compiler. The synthesis and analysis phases of a compiler are: Analysis Phase: In this breaks the source program in constituent

Implement the following function using 8 to 1 multiplexer Y(A, B, C, D) = ∑(0,1,2,5,9,11,13,15) Ans. We will obtain three variables B,C and D at selection lines and also A as i

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. The area under a curve between two points can b

Q. Define Resolution versus Accuracy in mouse? Resolution of mouse is known in CPI (Counts per Inch) it implies that number of signals per inch of travel.  This implies the mou

What is the difference among super class and subclass in programming? Ans) A super class is a class that is inherited in programming while the sub class is a class that does th

The PHP Hypertext Pre processor is a programming language that permits web developers to make dynamic content that interacts with databases. PHP is basically used for developing we

Q. What is control function? If transfer is to take place only under a predetermined control condition then this condition can be specified as a control function. For illustrat