Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
4 Cards in this Set
- Front
- Back
|
How do you handle bit overflow in x*g(x) in Z2[x]m(x) = x^3 + x + 1 |
g = (g2,g1,g0) x * g(x) mod (x^3 + x + 1) if g2 = 0 then x * g(x) = (0g1g0) << 1 = (g1g00) If g2 = 1 then x * g(x) = ([(1g1g0) && (011)] << 1) xor (011) = (g1g00) xor (011) |
|
|
Show field of order for Z[x] |
Polynomials Coefficients, +, × in ℤ Any Degree Order Order ℤ = ∞ deg ℤ 𝑥 = ∞ Order ℤ 𝑥 = ∞ |
|
|
Show field of order for Zp[x] |
Order ℤ𝑝 = 𝑝 deg ℤ𝑝 𝑥 = ∞ Order ℤ𝑝 𝑥 = ∞ |
|
|
Show field of order for Zp[x]m(x) |
Order ℤ𝑝 = 𝑝 deg ℤ𝑝 𝑥 𝑚 𝑥 = 𝑛 Order ℤ𝑝 𝑥 𝑚 𝑥 = 𝑝^𝑛 |
