I'm taking a class on Cryptography and the professor mentioned that given mod N and base g with a certain order, you should pick powers m and n such that they create a certain property with the order of g. I wasn't completely sure of what he said and cant seem to find much info on it. I believe it was something along the lines of if the exponents are larger than the order of g, it will make it more difficult for eve to recover the common key. Can someone confirm that for me and explain why?
An example I had from my notes was - N=101 g=6, which has an order of 10 so pick m, n larger than 10, ie m=14 n=84 Thus solving 6^x congruent to 14 gets 3 and solving 6&y congruent to 84 ets 4 So they obtain a common key of 6^3*4
Which I think gives them an incorrect key?