Answer the following statements true (T) or false (F)

1. It is easy to find the multiplicative inverse of an element in g(p) for large values of p by constructing a multiplication table, however for small values of p this approach is not practical. ?
2. Polynomial arithmetic includes the operations of addition, subtraction and multiplication. ?
3. If we attempt to perform polynomial division over a coefficient set that is not a field, we find that division is not always defined. ?
4. The Euclidean algorithm cannot be adapted to find the multiplicative inverse of a polynomial. ?
5. The elements of GF(2n) can be defined as the set of all polynomials of degree n – 1 or less with binary coefficients.?

1. FALSE
2. TRUE
3. TRUE
4. FALSE
5. TRUE

Computer Science & Information Technology

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