Question

Determine the multiplicative inverse of x3 + x2 + 1 in GF(24), using the prime (irreducible)...

Determine the multiplicative inverse of x3 + x2 + 1 in GF(24), using the prime (irreducible) polynomial m(x) = x4 + x + 1 as the modulo polynomial. (Hint: Adapt the Extended Euclid’s GCD algorithm, Modular Arithmetic, to polynomials.)

Homework Answers

Answer #1

HERE FROM THE GIVEN DATA the multiplicative inverse of x3 + x2 + 1 in GF(24), using the prime (irreducible) polynomial m(x) = x4 + x + 1

HENCE SOLVED

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
In GF(24), derive the multiplicative inverse of x2 modulo (x4+x+1).
In GF(24), derive the multiplicative inverse of x2 modulo (x4+x+1).
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials in Z5[x], i.e. represent f(x) as a product of irreducible polynomials in Z5[x]. Demonstrate that the polynomials you obtained are irreducible. I think i manged to factorise this polynomial. I found a factor to be 1 so i divided the polynomial by (x-1) as its a linear factor. So i get the form (x3 − 2x2 + 2x − 1) = (x2-x+1)*(x-1) which is...
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b....
1) Determine whether x3 is O(g(x)) for the following: a. g(x) = x2 + x3 b. g(x) = x2 + x4 c. g(x) = x3 / 2 2) Show that each of these pairs of functions are of the same order: a. 3x + 7, x b. 2x2 + x - 7, x2
(1) Determine φ (m), for m = 10, 24, 30 by using this definition: φ (m)...
(1) Determine φ (m), for m = 10, 24, 30 by using this definition: φ (m) is the number of positive integers that are smaller than m and are co-prime with m. (You do not have to apply Euclid’s algorithm for finding co-primes. Simply, list all the co-primes of m less than m and count them.) (2) Now, compute the φ (m) using the Euler’s phi function formula (totient function) and verify that the result matches what was obtained above.
1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime...
1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime ) Find the critical points _____________ Find Y`` ________________ a) Critical pt 1 x= ________ What is the concavity at critical point 1 ( positive or negative ) _______ Do we have a (local) max or min at crit. point 1 ? ___________ b)   Critical pt 2 x= ________ What is the concavity at critical point 2 ( positive or negative ) _______ Do...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT