Computers and Technology, 21.05.2020 00:12 aylin5044

Bob and Alice have agreed that Bob would answer Alice's invitation using ElGamal with the following parameters: ( prime p = 29, e1= 3, d = 5 and the random r = 7 ) find first the set of public and private keys. Bob replies in pairs of C1,C2 as follows: (12, 27), (12, 19), (12, 13), (12, 22), (12, 0), (12, 2), (12, 25), (12, 19), (12, 1), (12, 22), (12, 3), (12, 23), (12, 1), (12, 4). Please decipher the response that Bob sent to Alice.

Answers: 1

Show answers

Answers

Answer from: Aliciaonfleek

540, 380,260,440, 0, 40, 500, 380, 20, 440, 60, 460, 20 and 80.

Explanation:

So, we are given the following parameters or data or information which is going to assist us in solving the question above, they are;

(1). "prime p = 29, e1= 3, d = 5 and the random r = 7"

(2). C1C2 reply; "(12, 27), (12, 19), (12, 13), (12, 22), (12, 0), (12, 2), (12, 25), (12, 19), (12, 1), (12, 22), (12, 3), (12, 23), (12, 1), (12, 4)".

So, let us delve into the solution to the question;

Step one: determine the primitive modulo 29.

These are; 2, 3, 8, 10, 11, 14, 15, 18, 19, 21, 26, 27.

Step two: Compute V = k ^c mod p.

Say k = 2.

Then;

V = 2^7 mod 29 = 128 mod 29.

V = 12.

Step three: determine the Public key.

Thus, (p,g,y) = (29,2,12)

Private key = c = 7.

Step four: decipher.

Thus for each code pair we will decided it by using the formula below;

(1). (12,27).

W = j × b^(p - 1 - c) mod p.

W= 27 × 12^(29 -1 -7) mod 29. = 540

(2). (12, 19).

19 × 12^(29 - 1 - 7) mod 29.

( 12^(29 - 1 - 7) mod 29 = 20).

= 19 × 20 = 380.

(3).(12, 13) = 13× 20 = 260.

(4). (12, 22) = 22 × 20 = 440

(5). (12, 0) = 0 × 20 = 0.

(6). (12, 2) = 2× 20= 40.

(7). (12, 25) = 25 × 20 = 500.

(8). (12, 19) = 19 × 20 = 380.

(9).(12, 1) = 1 × 20 = 20.

(10). (12, 22) = 22 × 20 = 440.

(11). (12, 3) = 3× 20 = 60.

(13). (12, 23) = 23 × 20 = 460.

(14). (12, 1) =1 × 20 = 20.

(15). (12, 4) = 4 × 20 = 80.

Answer from: chocroc50

540, 380,260,440, 0, 40, 500, 380, 20, 440, 60, 460, 20 and 80.

Explanation:

So, we are given the following parameters or data or information which is going to assist us in solving the question above, they are;

(1). "prime p = 29, e1= 3, d = 5 and the random r = 7"

(2). C1C2 reply; "(12, 27), (12, 19), (12, 13), (12, 22), (12, 0), (12, 2), (12, 25), (12, 19), (12, 1), (12, 22), (12, 3), (12, 23), (12, 1), (12, 4)".

So, let us delve into the solution to the question;

Step one: determine the primitive modulo 29.

These are; 2, 3, 8, 10, 11, 14, 15, 18, 19, 21, 26, 27.

Step two: Compute V = k ^c mod p.

Say k = 2.

Then;

V = 2^7 mod 29 = 128 mod 29.

V = 12.

Step three: determine the Public key.

Thus, (p,g,y) = (29,2,12)

Private key = c = 7.

Step four: decipher.

Thus for each code pair we will decided it by using the formula below;

(1). (12,27).

W = j × b^(p - 1 - c) mod p.

W= 27 × 12^(29 -1 -7) mod 29. = 540

(2). (12, 19).

19 × 12^(29 - 1 - 7) mod 29.

( 12^(29 - 1 - 7) mod 29 = 20).

= 19 × 20 = 380.

(3).(12, 13) = 13× 20 = 260.

(4). (12, 22) = 22 × 20 = 440

(5). (12, 0) = 0 × 20 = 0.

(6). (12, 2) = 2× 20= 40.

(7). (12, 25) = 25 × 20 = 500.

(8). (12, 19) = 19 × 20 = 380.

(9).(12, 1) = 1 × 20 = 20.

(10). (12, 22) = 22 × 20 = 440.

(11). (12, 3) = 3× 20 = 60.

(13). (12, 23) = 23 × 20 = 460.

(14). (12, 1) =1 × 20 = 20.

(15). (12, 4) = 4 × 20 = 80.

Explanation:

Answer from: Quest

Mouse and keyboard and software password data and the field codes

Answer from: Quest

answerdmz;

Other questions on the subject: Computers and Technology

Computers and Technology, 21.06.2019 22:10, nawaphon1395

Is the following an example of social media viral marketing? indicate your response by selecting yes or no. when you sign onto your favorite social networking website, you get messages from friends who have seen a television show they thought was a "must see! "

Answers: 1

continue

Computers and Technology, 22.06.2019 20:00, bartlettcs9817

Which location-sharing service offers items for users as a gaming component and also allows them to collectively link their check-ins to publish a trip? a. whrrl b. buzzd c. foursquare (this option is wrong i already tried) d. gowalla for plato

Answers: 2

continue

Computers and Technology, 23.06.2019 00:30, devenybates

Which one of the following is the most accurate definition of technology? a electronic tools that improve functionality b electronic tools that provide entertainment or practical value c any type of tool that serves a practical function d any type of tool that enhances communication

Answers: 1

continue

Computers and Technology, 23.06.2019 04:20, milkshakegrande101

4. a1. vince owns a television repair shop that is insured undera commercial package policy. the policy includes thebuilding and personal property coverage form and thecauses-of-loss broad form. the declarations page indicatesthat coverage applies to both the building and the namedinsured's business property. explain whether or not thefollowing losses would be covered under his policy. a. a fire occurs on the premises, and the building isbadly damaged. b. a burglar steals some money and securities from anunlocked safe. c. a business computer is damaged by vandals whobreak into the shop after business hours. d. a tornado touches down near the store. several tel-evision sets of customers in the shop for repair aredamaged in the storm. til

Answers: 2

continue

You know the right answer?

Bob and Alice have agreed that Bob would answer Alice's invitation using ElGamal with the following...