I just looked it up, Our all time record against Tulane is 69 - 22 - 7. I don't know that I would call that much of a rivalry.
It was in the 30s, 40s and 50’s. Then Tulane withdrew from the SEC and de-emphasized football. We won like 27 games in a row. Then in the 70’s and early 80’s it sort of was. The legacy of the rivalry has faded but if you grew up in the 50’s and 60’s Tulane and Ole Miss were 1 and 1a.
Well it was at one time in the 20s, 30s, and 40s when Tulane was good in football. Yes, I said Tulane was good in football. They even played the Rose Bowl game against USC in '32. In the late 40s we started a winning streak that lasted until 1973 when Tulane beat us 14 - 0. I was living in New Orleans then and ate so much shit. My Mom and Dad were on a date at the 1949 game when Kenny Konz ran back a punt for a touchdown. Dad said if he ever had a son he would name him Kenny. And he did.