Consider a Feistel cipher composed of sixteen rounds with a block length of 128 bits and a key length of 128 bits. Suppose that, for a given k, the key scheduling algorithm determines values for the first eight round keys, k1,k2,…k8, and then sets k9=k8, k10=k7, k11=k6,…, k16=k1 Suppose you have a ciphertext c. Explain how, with access to an encryption oracle, you can decrypt c and determine m using just a single oracle query. This shows that such a cipher is vulnerable to a chosen plaintext attack. (An encryption oracle can be thought of as a device that, when given a plaintext, returns the corresponding ciphertext. The internal details of the device are not known to you and you cannot break open the device. You can only gain information from the oracle by making queries to it and observing its responses. )

Answers

Answer 1

Answer:

it should be A

Step-by-step explanation:

because yes.

Answer 2

The given Feistel cipher's predictable key scheduling algorithm, where later round keys are derived from earlier ones, exposes a vulnerability.

The given Feistel cipher with sixteen rounds, a block length of 128 bits, and a key length of 128 bits is designed with a vulnerability that can be exploited using a chosen plaintext attack. The vulnerability lies in the key scheduling algorithm, where the later round keys are derived from the earlier ones in a predictable manner.

Here's how an attacker can decrypt a ciphertext c and determine the corresponding plaintext m using just a single oracle query, demonstrating the vulnerability to a chosen plaintext attack:

Initialization: The attacker starts by selecting a random plaintext p of 128 bits. They use an encryption oracle to obtain the corresponding ciphertext c'.

Oracle Query: Now, the attacker constructs a modified ciphertext c'' by flipping a single bit in the ciphertext c'. This effectively changes a single bit in one of the blocks after the final round of encryption.

Decryption Query: The attacker submits the modified ciphertext c'' to the encryption oracle. The oracle performs the decryption process, which involves reversing the encryption rounds.

Observation: The attacker now has two pieces of information:

The oracle's response for the modified ciphertext, which corresponds to the decrypted value of c''.

The decrypted value of c', which is equivalent to the original plaintext p.

Exploiting Vulnerability: Due to the predictable key scheduling algorithm, the attacker knows that the same round keys are used in both the decryption of c'' and the decryption of c' (which is equal to p). The attacker can observe the differences between the decrypted values of c'' and c', and from these differences, they can infer how the cipher processed the specific bit that was flipped.

Backtracking and Deriving Key Information: By analyzing the differences in the decryption results, the attacker can infer information about the round keys used in the process. Specifically, they can determine the values of the round keys used in the earlier rounds, up to round 8.

Reconstructing Decryption Process: Armed with the round key information, the attacker can reconstruct the decryption process used by the cipher. They know the round keys for rounds 1 to 8, and due to the vulnerability in the key scheduling algorithm, they can deduce the round keys for rounds 9 to 16.

Decrypting the Ciphertext: With a complete understanding of the decryption process, the attacker can decrypt the original ciphertext c to obtain the corresponding plaintext m.

This attack demonstrates that the vulnerability in the key scheduling algorithm and the predictable nature of key derivation lead to a situation where an attacker can determine the round keys with just one oracle query. This makes the cipher susceptible to chosen plaintext attacks, undermining its security.

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Related Questions

10. The GCD of two numbers is 8 and their
LCM is 360. If one of the numbers is 72,
what is the other number?​

Answers

40

Hope this helped :)

Two angles are supplementary. One angle is 36 degrees bigger than the other. What is the measure of the bigger angle

Answers

let the other angle be x degree

bigger angle = x +36°

According to the question,

x+36° + x° = 180°

=> 2x = 180–36

=> x = 144/2

=> x = 72°

Measure of the bigger angle = x + 36

= 72° + 36°

= 108°

1 If 3, p, q, 9 are in the geometric sequence, find the value of p and q. 9.

Answers

Answer:

Step-by-step explanation:

1/3 p, 9,9 are in the geometric sequence

9/ ( 1 1/3) = 27

3^3 = 27

So -- p = 1/3 x 3 = 1

q= 1 x 3 = 3

3 x 3=9

(4s+3)(4s–3) i really neeed help

Answers

Answer:

16s^2 -9

Step-by-step explanation:

(4s+3)(4s–3)

FOIL

first : 4x*4x = 16s^2

outer -3 *4s = -12s

inner 3*4s = 12s

last = 3* -3 = -9

Add them together

16s^2 -12s+12s -9

Combine like terms

16s^2 -9

If O is an angle in standard position and its terminal side passes through the point
(-35,-12), find the exact value of sin 0 in simplest radical form.

Answers

[tex](\stackrel{a}{-35}~~,~~\stackrel{b}{-12})\qquad \impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c = \sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-35)^2+(-12)^2}\implies c=\sqrt{1225+144}\implies c=\sqrt{1369} \\\\\\ \underline{c=37}~\hspace{10em}sin(\theta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{37}}[/tex]

What is the domain of the following graph?

Answers

Answer:

[0,9]

Step-by-step explanation:

The domain is the first set of the ordered pair. When finding the domain you are supposed to find which x value it starts from to where it ends. The x value starts from 0 and ends and the 9th unit on the x-axis which would give us 0,9 now since both points are closed you would use these symbols [ ] to show that it is closed meaning the answer would be [0,9]

Note:

I'm sorry if this is wrong but this is what I believe the answer is.

Please help me I don´t get it?

Answers

A: e and c are verticale angles
B: c and b are complementary angles
C: c and d are supplementary angles
Im not sure with d
E: e = 30, b=60, a=90, d=150

Find an equation of a line that is parallel to y = 3x - 9 and passes through
the point (1, 1). *

Answers

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

y-(1)=3(x-1)

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

[tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

What is Parallel lines?

In geometry, parallel lines are coplanar straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

According to question, we have to write an equation of a line that is parallel to [tex]y = 3x - 9[/tex]  and passes through the point [tex](1, 1)[/tex]

Since, the line passes through [tex](1,1)[/tex] and have slope[tex]=3[/tex]

So, [tex]y-(1)=3(x-1)[/tex]

⇒      [tex]y-1=3x-3[/tex]

⇒            [tex]y=3x-2[/tex]

Hence, we can conclude that [tex]y=3x-2[/tex]  is an equation of a line that is parallel to [tex]y = 3x - 9[/tex] and passes through the point [tex](1, 1).[/tex]

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Is 10, 24, 13 a Pythagorean Tripe? Explain

Answers

Answer:

car

Step-by-step explanation:

There is a pair of parallel sides in the following shape.
2 12 13 7
What is the area of the shape?
___units

Answers

The area of the shape is the amount of space on the shape

Using the assumed parameters, the area of the shape is 25 square units

How to determine the area?

The question is incomplete, as the shape is not given.

Assume the shape is a trapezoid, the area of the shape would be:

A = 0.5 * (sum of parallels sides) * height

Using the assumed values, we have:

Area = 0.5 * (12 + 13) * 2

Evaluate the product

Area = 25

Using the assumed values, the area of the shape is 25 square units

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Answer:

54

Step-by-step explanation:

The length of a side of a square is (2x + 9) km. Find the area of the square in terms of the variable x.

Answers

(2x + 9)^2
= 2x(2x + 9) + 9(2x + 9)
= 4x^2 + 36x + 81

Why do people engage in various ?​

Answers

Answer:

When and why do people engage in different forms of proactive behavior at work? We propose that as a result of a process of trait activation, employees with different types of self-construal engage in distinct forms of proactive behavior if they work in environments consistent with their self-construals. In an experimental Study 1 (n = 61), we examined the effect of self-construals on proactivity and found that people primed with interdependent self-construals engaged in more work unit–oriented proactive behavior when job interdependence was also manipulated. Priming independent self-construals did not enhance career-oriented proactive behavior, even when we manipulated job autonomy. In a field Study 2 (n = 205), we found that employees with interdependent self-construals working in jobs with high interdependence reported higher work unit commitment and higher work unit–oriented proactive behavior compared to employees in low interdependent jobs. Employees with independent self-construals working in jobs with high autonomy also exhibited stronger career commitment and more career-oriented proactive behavior than did those in jobs with low autonomy. This research offers a theoretical framework to explain how dispositional and situational factors interactively shape people’s engagement in different forms of proactive behavior.

Step-by-step explanation:

What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Center {27, 29, 26, 28, 25}.

Answers

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

What is the mean of the data set?

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

The mean of the given data set is;

[tex]\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27[/tex]

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

The median of the data set is 27.

Hence, the measure of center best represents the data set is Mean or Median.

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HELP FAST IM GETTING TIMED PLEASE ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

for every 10c there is 30c. for every 20c there is 125c.

What is the solution to the system of equations?
2x + y - Z= 7
- X- 2y – 2z = -9
X + 3y - 32= 6


A : (3,-2,1)

B : (3,2,-1)

C : (3,2,1)

D : (-3.2,1)

Answers

Answer:

the answer is b

Step-by-step explanation:

bc i just this it is

lmc of x^2-4 and x^2-5x-14

Answers

Answer:

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x^2-4,\:x^2-5x-14[/tex]

[tex]\mathrm{The\:LCM\:of\:}a,\:b\:\mathrm{is\:the\:smallest\:multiplier\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]

[tex]x^2-4[/tex]

[tex]\mathrm{Rewrite\:}4\mathrm{\:as\:}2^2[/tex]

[tex]=x^2-2^2[/tex]

[tex]x^2-2^2=\left(x+2\right)\left(x-2\right)[/tex]

[tex]=\left(x+2\right)\left(x-2\right)[/tex]

[tex]x^2-5x-14[/tex]

[tex]=\left(x^2+2x\right)+\left(-7x-14\right)[/tex]

[tex]=x\left(x+2\right)-7\left(x+2\right)[/tex]

[tex]=\left(x+2\right)\left(x-7\right)[/tex]

[tex]\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power:}[/tex]

[tex]\left(x+2\right)\cdot \left(x-2\right)\cdot \left(x-7\right)[/tex]

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is its velocity in meters per second. An object’s velocity is 20 meters per second, and its kinetic energy is 48,000 joules. If it speeds up to 40 meters per second, what is its new kinetic energy?

Answers

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

Which of the following is an Expression
*
O 1+2 = 3
O x+3 = 9
O 8 = 9 x 5
O 12 +9

Answers

I think it’s x+3=9.
12+9 because there is no equal sign or any solving

Two cylindrical vases have the same base, but one vase is twice as tall as the other one. Therefore, the taller vase will hold 8 times as much water as the shorter vase.

Answers

Answer:true

Step-by-step explanation:

¿cuántos kilos de productos de primera necesidad ,ha consumido la familia de manuel en los tres meses?

Answers

En total, durante los últimos meses la familia de Manuel ha consumido 792 kilos de productos de primera necesidad.

¿Cómo calcular el total de comida consumida?Sumar la cantidad total de cada alimento.Sumar estos totales.

¿Cuál es el total de cada comida?

Arroz: 17+13+18= 48 kg

Fideos: 12+27+30 = 69 kg

Harina: 26+56+50= 132 kg

Aceite: 6+24+30= 60 kg

Avena: 8+16+20= 44 kg

Papa: 32+48+48= 128 kg

Frejol: 12+20+27= 59 kg

Alverja: 16+24+26= 66 kg

Pollo: 12+12+12= 36 kg

Carne de res: 8+10+10= 28 kg

Mazamorra: 8+25+28= 61 kg

Leche: 13+24+24=61 kg

¿Cuál es el total de comida consumida?

48+69+132+60+44+128+59+66+36+28+61+61= 792 kilos

Nota: Esta pregunta está incompleta, a continuación se adjunta la parte faltante.

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Go step by step to simplify the radical.

[tex]\sqrt{224}[/tex]

Answers

Answer:

  4√14

Step-by-step explanation:

You simplify a radical by removing squares from under it.

  [tex]\sqrt{224}=\sqrt{16\cdot14}=\sqrt{4^2\cdot 14}=\boxed{4\sqrt{14}}[/tex]

Please help! Will give brainliest!

Answers

Answer:

A. Martin was faster

Step-by-step explanation:

If you look at the graph, you can see that Martin is going faster.

For example: When George is at 2 weeks, he is almost at 3 kg. When Martin is at 2 weeks, he is at 4 kg exactly.

Brainliest?

Pls help :( :(((
Pls pls pls

Answers

Answer:

1.) a- 9,00

b-43,000

d-8,000

e-41,000

g-7,000

h-56,000

j-16,000

Step-by-step explanation:

2.)

a-5

b-17

c-21

Answer:

1)

a. 9,000 bytes

b. 43,000 bytes

c. 9,600 bytes

d. 8,000 kilobytes

e. 41,000 kilobytes          f. 7,300 kilobytes

g. 7,000 MB                     h. 56,000 MB

i. 2,500 MB                       j. 16,000,000 Bytes

2)

a. 5

b. 17

c. 21

4+4x=2x+8+2x-5
Please help cant figure it out

Answers

The answer is no solution
Your question doesn’t make sense

HELP, IM NOT GOOD A COORDINATES.

Answers

A(1,0)

B(0,-3)

C(-6,5)

D(-3,-5)

E(-1,4)

The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 5:18. There are 36 gallons of gasoline. How many ounces of oil are there?
129.6 ounces
16 ounces
10 ounces
2.5 ounces

Answers

10 ounces because divide 36 by 18 which gives you two. Then multiply 2 by 5 which gives you 10 and that 10 is how many ounces

What is the error in the problem ​

Answers

i’m pretty sure it’s when 8(p-7) because it didn’t distribute 8 and 7

At the nearest wholesale store, 3 bags of bulk cereal cost $21.75.
At this rate, how much would 5 bags of bulk cereal cost? Enter your answer in the box.

Answers

Answer:

[tex]36.25[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 5 bags of bulk cereal.

3 is to $21.75 as 5 is to [tex]x[/tex], this translates to the following

[tex]\frac{3}{21.75}=\frac{5}{x}[/tex]

Solving for [tex]x[/tex], we get [tex]x=36.25[/tex]

Answer:

5 bags of bulk cereal cost $36.24

Step-by-step explanation:

15
The table below shows the lengths in
centimeters (cm) of a sample of 5 leaves
from a tree.
Leaf Length (cm)
14.2
2 13.8
12.6
13.4
5 11.5
WIN
3
4
?
A 6th leaf is added to the sample and its length is
measured. Its measure increases the mean value of
the sample of leaves but decreases the median value
of the sample of leaves. What is a possible
measurement for the length of the 6th leaf?
A) 13.1 cm
B) 13.3 cm
C) 13.4 cm
D) 13.7 cm

Answers

The mean measurement is the average value of the leaves

The possible measurement of the 6th leaf is 13.3

How to determine the possible value of the 6th sample

The dataset is given as:

14.2, 13.8, 12.6, 13.4 and 11.5

Sort the data elements

11.5, 12.6, 13.4, 13.8 and 14.2

Calculate the mean

[tex]\bar x = \frac{11.5 + 12.6 + 13.4 + 13.8 + 14.2}{5}[/tex]

[tex]\bar x = \frac{65.5}{5}[/tex]

[tex]\bar x = 13.1[/tex]

So the mean is 13.1 and the median is 13.4

For the mean to increase, the 6th dataset must be greater than 13.1.

For the median to decrease, the 6th dataset must be less than 13.4

From the list of given options, the element that satisfy the above highlights is 13.3

Hence, the possible measurement of the 6th leaf is 13.3

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Lee wanted to visit his grandmother who lives 1,400 air miles
away. If Lee's plane travels 400 miles per hour, how many
hours would Lee's flight take?

Answers

Answer:

Lee's flight would take 3.5 hours.

Step-by-step explanation:

1400 ÷ 400 = 3.5

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