Nope, not wrong in GF(2) at all. In GF(2), adding one unit to another gives you two units. It just happens that in GF(2) having two units is the same thing as h

Nope, not wrong in GF(2) at all. In GF(2), adding one unit to another gives you two units. It just happens that in GF(2) having two units is the same thing as having zero units.