Okay kiddo, so imagine you are playing with a toy spinning top. When you spin it, you want it to be fair and spin evenly, right? That's a bit like what "well equidistributed" means. It means that when you use a mathematical formula called a linear congruential generator to create a sequence of numbers, those numbers are spread out in a way that looks pretty even over time.
But, like the spinning top, we don't want the sequence of numbers to just repeat the same pattern over and over again. That's where "long-period" comes in. It means that the sequence of numbers keeps going for a really long time before it starts to repeat itself.
And finally, "linear" means that the formula for generating the sequence is pretty simple and straightforward. It's like following a recipe with just a few ingredients that you mix together in a specific way to get a yummy cake.
So when we put it all together, "well equidistributed long-period linear" is a fancy way of saying that we have a simple recipe for creating a sequence of numbers that looks pretty evenly spread out and keeps going for a really long time before it starts to repeat itself.