Question

4.6. Compute in GF(2^8): (x^4 + x + 1)/(x^7 + x^6 + x^3 + x^2) where...

4.6. Compute in GF(2^8):

(x^4 + x + 1)/(x^7 + x^6 + x^3 + x^2)

where the irreducible polynomial is the one used by AES, P(x) = x^8 +x^4 +x^3 +x+1

Homework Answers

Answer #1

Answer:-

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Compute the order of the permutation (1 6 3 9 4)(1 7 9)(2 8 7 4)....
Compute the order of the permutation (1 6 3 9 4)(1 7 9)(2 8 7 4). [Note: These cycles are not disjoint.]
6. What is the orbit of 2 in the group Z_7 under multiplication modulo 7? Is...
6. What is the orbit of 2 in the group Z_7 under multiplication modulo 7? Is 2 a generator? 7. What is the residue of 101101 modulo 1101 using these as representations of polynomials with binary coefficients? 8. List all irreducible polynomials with binary coefficients of degree 4 or less. (Hint: produce a times table that shows the minimum number of products needed.) Show these as binary numbers (omitting the indeterminant) and as decimal numbers (interpreting the binary number into...
age of dog, x     1,    2,   4,    6,   7,   8 human years, y 15, 24, 32,...
age of dog, x     1,    2,   4,    6,   7,   8 human years, y 15, 24, 32, 40, 44, 48 1. Find a polynomial model for the first 8 years of a dog's life. 2. Use the model to estimate the age (in human years) of a dog that is 3 years old. please show work.
16. Compute greatest common divisor of ?5 − 1 and ?3 + 2? − 3 in...
16. Compute greatest common divisor of ?5 − 1 and ?3 + 2? − 3 in modulus 13. 17. Check whether the polynomial is ?5 − 4?3 + 3?2 − ? + 2 is reducible or irreducible in modulus 3, 5 and 13
Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not? Is g(x)=x^3+x+1 irreducible in Z5[x] why...
Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not? Is g(x)=x^3+x+1 irreducible in Z5[x] why or why not?
Consider the data set below. x 4 6 3 8 7 6 y 1 3 9...
Consider the data set below. x 4 6 3 8 7 6 y 1 3 9 1 8 6 For a hyopthesis test, where H0:?1=0 and H1:?1?0, and using ?=0.01, give the following: (a) The test statistic t= (b) The degree of freedom df= (c) The rejection region |t|>
Consider the polynomial f(x) = x ^4 + x ^3 + x ^2 + x +...
Consider the polynomial f(x) = x ^4 + x ^3 + x ^2 + x + 1 with roots in GF(256). Let b be a root of f(x), i.e., f(b) = 0. The other roots are b^ 2 , b^4 , b^8 . e) Write b 4 as a combination of smaller powers of b. Prove that b 5 = 1. f) Given that b 5 = 1 and the factorization of 255, determine r such that b = α...
Find regression line for the data X 0   1   2   3    4   5   6   7 8           ...
Find regression line for the data X 0   1   2   3    4   5   6   7 8            Y 11 21 31 41 51 61 71 81 91 X 0   2   4   6   8 10                            Y 12 15 17 18 20 22
Consider the following data: x 3 4 5 6 7 P(X=x)P(X=x) 0.2 .1 .2 .2 0.3...
Consider the following data: x 3 4 5 6 7 P(X=x)P(X=x) 0.2 .1 .2 .2 0.3 Copy Data Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X>6)P(X>6). Round your answer to one decimal place. Step 5 of 5: Find the value of P(X≤5)P(X≤5). Round your answer to one decimal place.
True or False, explain: 1. Any polynomial f in Q[x] with deg(f)=3 and no roots in...
True or False, explain: 1. Any polynomial f in Q[x] with deg(f)=3 and no roots in Q is irreducible. 2. Any polynomial f in Q[x] with deg(f)-4 and no roots in Q is irreducible. 3. Zx40 is isomorphic to Zx5 x Zx8 4. If G is a finite group and H<G, then [G:H] = |G||H| 5. If [G:H]=2, then H is normal in G. 6. If G is a finite group and G<S28, then there is a subgroup of G...