Addition
Addition using the polynomial basis is as simple as addition modulo p. For example, in GF(3m):
In GF(2m), addition is especially easy, since addition and subtraction modulo 2 are the same thing, and furthermore this operation can be done in hardware using the basic XOR logic gate.
Read more about this topic: Polynomial Basis
Famous quotes containing the word addition:
“Napoleon wanted to turn Paris into Rome under the Caesars, only with louder music and more marble. And it was done. His architects gave him the Arc de Triomphe and the Madeleine. His nephew Napoleon III wanted to turn Paris into Rome with Versailles piled on top, and it was done. His architects gave him the Paris Opera, an addition to the Louvre, and miles of new boulevards.”
—Tom Wolfe (b. 1931)
“The most important American addition to the World Experience was the simple surprising fact of America. We have helped prepare mankind for all its later surprises.”
—Daniel J. Boorstin (b. 1914)
“Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.”
—Sir Arthur Conan Doyle (1859–1930)