What kind of relationship do the speed of light and mass have?

Not sure if i am 100% correct about this however; the way I understand the speed of light's effect on an objects mass is at 100% the speed of light the objects mass reaches 0. Which is why we can never travel faster than the speed of light. Now, my question is (mathematically) will the mass be equal to 0 only at 100% the speed of light and return after 100.000_1%+ the speed of light or will the mass be a constant 0 even after exceeding the speed of light. Please feel free to correct anything wrong I presumed to be true here.