What do you think about the primality of p

Assignment Help Data Structure & Algorithms

Reference no: EM131018190

1. Let p = 23434549. We know that 4842 is larger than √P. Suppose it is given that any number less than 4842 does not divide p. What do you think about the primality of p?

2. Let p = 4k + 3 for some integer k and x be a non-zero integer less than p such that it has a square root. Show that square of

x^P+1/4

is x mod p.

3. Let

E : y² = x³ + 3x + 5 mod 443

be an elliptic curve. Its order is 427 = 61.7.

The point P = (x, y) is on the curve and it is given that 2P = (248,113).

(a) Explain an efficient method to find P = (x, y) (Do not find P, just explain how to find it).

(b) By using P, explain a method to find an element of order 61.

Reference no: EM131018190

Questions Cloud

At what price will they sell movie tickets to students : Suppose Sundance Cinema is the only theater in Madison. The cinema owners know that there are three kinds of people in Madison: Students, Professors and Movie buffs. Given the above information, at what price will they sell movie tickets to student..

What you consider to be the key inherent risk factors : What is the inherent risk - Identify what you consider to be the ‘key' inherent risk factors that could have an impact on the audit of Dick Smith

Determine the reactions at a - b and c : The beam consists of a W360 x 79 structural steel wide-flange shape [E = 200 GPa; I = 225 x 106 mm4]. For the loading shown, determine the reactions at A, B, and C (positive if the force is up, negative if down).

Prepare a cost of production report : Assuming that the March 1 work in process inventory includes $54,600 of direct materials, determine the increase or decrease in the cost per equivalent unit for direct materials and conversion between February andMarch.

What do you think about the primality of p : Let p = 23434549. We know that 4842 is larger than √P. Suppose it is given that any number less than 4842 does not divide p. What do you think about the primality of p?

What is corporate governance and what is its purpose : Discuss the four major conflicts that may occur with the objective of shareholder value maximization. For each conflict explain why it arises, provide an example, and discuss at least one way the conflict can be mitigated

What is the perfectly competitive price of a taxi ride : Assume that the taxi industry in the town of New City is perfectly competitive. Also assume that the marginal cost of a taxi ride is constant and equal to $5 per trip, What is the perfectly competitive price of a taxi ride

Why would your boss be concerned about this issue : What kinds of conflicts can arise by having "shareholder maximization" as the primary goal of a firm? Do you believe that firms should have a different "objective"? Please explain.

Write two paragraphs about american hospital association : Write 2 paragraphs about each organization. The paragraphs should include an in-depth description of the organization and the part it plays in the health information field.

User Account

All Pages