Alice and Bob has designed a public key cryptosystem based on the ElGamal Bob has chosen the prime p 113 and the primitive root 6 Bobs private key is an integer b 70 such that b 18 (mod p) Bob publishes the triple (p, , ) Alice chooses a secret number k 30 to send the message 2022 to Bob What pair or pairs does Bob receive

Question: Alice and Bob has designed a public key cryptosystem based on the ElGamal. Bob has chosen the prime p = 113 and the primitive root

Alice and Bob has designed a public key cryptosystem based on the ElGamal.

Bob has chosen the prime p = 113 and the primitive root α = 6. Bob’s private key is an integer b = 70 such that β ≡ αb ≡ 18 (mod p). Bob publishes the triple (p, α, β).

Alice chooses a secret number k = 30 to send the message 2022 to Bob. What pair or pairs does Bob receive?

Step by Step Solution

★★★★★

3.44 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Alice computes the shared se... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

? (2) Alice and Bob has designed a public key cryptosystem based on the ElGamal. Bob has chosen the prime p = 73 and the primitive root a = 5. Bob's private key is an integer b = 60 such that = a =...

Implement a toy symmetric cryptosystem based on the following method. a. Keys are 16-bit randomly generated values. b. Messages are randomly generated strings with an even number of characters....

Alice and Bob select the prime number p = 30559 with g =7 as a primitive element. Select a random number a=1000 as a private key, computes her public key and send it to Bob. Bob uses b= 2000 as a...

1. What are TWO (2) Digital Marketing tools that will be most effective to achieve the main objective of the marketing plan for the new shoe, briefly describing how On Running would use each tool and...

Doug Brenhouse leaned back in his office chair and took a moment to himself away from the turmoil involved with the biggest decision of his professional life. Should he and his two cofounders, John...

The United States prides itself in being first in a wide range of socioeconomic, scientific, and cultural top ten lists. One ranking that does nothing to bolster national pride among United States...

Job costing, journal entries. Donnell Transport assembles prestige manufactured homes. Its job costing system has two direct-cost categories (direct materials and direct manufacturing labor) and one...

The Z-score bankruptcy prediction model uses balance sheet and income information to arrive at a Z-Score, which can be used to predict financial distress: EBIT is earnings before interest and taxes....

The Z-score bankruptcy prediction model uses statement of financial position and income information to arrive at a Z-Score, which can he used to predict financial distress: EBIT is earnings before...

1. Arrow up or down: According to the law of supply, an increase in price ___ the quantity supplied. 2. From the following list, choose the variables that are held fixed when drawing a market supply...

1. On December 31, 2020, Helena Company, a California real estate firm, received two $20,000 notes from customers in exchange for services rendered. The 8% note from El Dorado Company is due in nine...

There are two masses with mass, 2M and M. Which of the following statements is true? Group of answer choices The center of mass is closer to "2m" mass than "m" mass The center of mass is exactly...

Laurie needs to set up her operations to produce an order of 2,000 frozen pies for Thanksgiving. Considering the time to setup her process, she will have 10 working days to make the pies. She plans...

On January 1, 2022, Paxon Corporation acquired all of the outstanding common stock of Saxon Company for $2 billion cash. The prior to the combination, are shown below: Balance Sheets (in millions)...

Question 2 (20 Marks) Weekly sales of copy paper at Cubicle Suppliers are provided in the table below. Compute a three-period moving average and a four-period moving average for weeks 5, 6, and 7....

Andrea was an up - and - coming music producer at Too Loud Productions. One night while out at the clubs, Andrea discovered a new singer , Dylan. Andrea approached Dylan after the show and gave him...

Entries for Selected Corporate Transactions Tolbert Enterprises Inc. manufactures bathroom fixtures. The stockholders' equity accounts of Tolbert Enterprises Inc., with balances on January 1, 2014,...

5. Convert the following ERD to a relational model. SEATING RTABLE Seating ID Nbr of Guests Start TimeDate End TimeDate RTable Nbr RTable Nbr of Seats RTable Rating Uses EMPLOYEE Employee ID Emp...

What is the minimum number of nodes in a wavl tree of height 7?

Give an example set of 10 characters and their associated frequencies so that, in the Huffman tree for this set, every internal node has an external-node child.

Suppose you have a software method, Conv, that can perform the convolution of two length-n integer vectors, A and B, using the FFT algorithm described in this chapter. Suppose further that you have...

4.56. The curve for a normal distribution with mean p and standard deviation a has mathematical formula f(y) = (>'-M)2 /(2^2 )_ J2tti ira Show that this curve is symmetric, by showing that for any...

4.47. The Palestinian Central Bureau of Statistics (www.pcbs.gov.ps) asked mothers of age 20-24 about the ideal number of children. For those living on the Gaza Strip, the probability distribution is...

4.43. (Class Exercise) Refer to Exercises 1.11 and 1.12 (page 8). Using the population defined by your class or using the studentsurvey, the instructor will select a variable,such as weekly time...