Estimate the largest possible value of characters

Assignment Help Computer Network Security

Reference no: EM131827769

Question. You encrypt a message using the RSA encryption system as t^e mod n, where t, e < n and t is the numerical equivalent of the message. The message is written in a 27-letter alphabet and is split into blocks with m characters each. You have a limit of 10¹² binary operations to encrypt each block. Estimate the largest possible value of m if you use the fast exponentiation algorithm and

(a) standard algorithms for division and multiplication, which we assume require 100.log₂a.log₂b binary operation to find ab and to find the quotient and remainder when a is divided by b;

(b) the best known algorithms for division and multiplication, which we assume for a ≥ b require

100.(log₂ a).(log₂ log₂ a) . (log₂ log₂ log₂ a)

binary operation to find ab and to find the quotient and remainder when a is divided by b.

Remark. You may assume that the number of operations in the fast exponentiation algorithm is twice more than the number of operations needed for all squarings.

The number of operations needed to convert the message into a number is small and can be ignored. You may also ignore the difference between n and Φ(n).

In part (b) you have to solve a transcendental equation. During the calculations you can round the results of iterations to the nearest integer.

Reference no: EM131827769

Questions Cloud

How have views of immigration affected education : What thoughts do you have about teaching in diverse classrooms? How have views of immigration affected education?

Write a css rule that changes the color of all elements : Write a CSS rule that changes the color of all elements containing attribute class = "green- Move" to green and shifts them down 25 pixels and right 15 pixels.

Create an engaging and interesting flyer : Creating strong partnerships with families will help support young children in their development. It is up to the early childhood educator to facilitate.

What is the molarity : The density of a 0.448-m aqueous solution of K2CrO4 is 1.063 g/mL. What is the molarity (M) of this solution? The molar mass if K2CrO4 is 194.2 g/mol.

Estimate the largest possible value of characters : Estimate the largest possible value of m if you use the fast exponentiation algorithm and find ab and to find the quotient and remainder when a is divided

Construct an electron-dot diagram for carbonate ion : Construct an electron-dot diagram for carbonate ion. Draw structural formulas of the three resonance possibilities for the ion and estimate the average carbon

What is the largest numeric value that could be represented : What is the largest numeric value that could be represented with three bytes if each digit were encoded using one ASCII pattern per byte?

What is the molarity of this solution : What is the molarity of this solution? Assume the density of the solution is 1.00 g/mL. The molar mass of chlorobenzene is 112.6 g/mol.

Describe at least two important relationships : Explain the early childhood professional's responsibility regarding mandatory reporting of abuse and neglect.

User Account

All Pages