So, five years ago, at a pretty prestigious North American univ, I was accused of cheating on a take home exam. I hadn't cheated, but unluckily, I made careless mistakes that were similar to where I was supposed to be cheating from (and this was on a predominantly maths based paper) and so I wasn't able to convince the academic honesty board that I hadn't. Since then, I've left that college (I was on probation, but felt very insecure about it) and started again (in my country there's no concept of transfers) and I have earned a bachelor's and a master's degree from one of my home country's best unis, both with the eqv. of highest honours, and (of course) there's been no more accusation of dishonesty. So if I apply to US grad schools for a PhD, when I have to mention that I have had dishonesty convictions in my past, and in the additional space, should I just say I felt remorseful and didn't do it again, or should I try explaining that I didn't do it? I feel like lying would be terrible (and saying I'm remorseful, since I absolutely did not cheat) but it would probably antagonize the grad adcom if I told the truth and didn't accept my guilt, isn't it? Sorry it's so long, but all answers would be appreciated.