I took a trip to Niketown for help on a good pair of jump rope shoes a week ago. What they suggested was anything with Nike Shox Technology. Why? It provides the most cushioning, and it reduces the risk of impact-related injuries. Plus, I was recovering from shin-splints due to bad jump rope shoes. But I think Air Max technology (what the Air Code has) does the same type of thing. From their website "max-cushioning, provides protection and handles impact... takes a pounding." I can only assume Nike Shox is better than Nike Air Max for jumping rope because that is what they finally decided to sell me. Plus, I think u want to minimize any impact to prevent injuries. I walked out with a pair of Nike Shox TG. I don't know what they boy version of this sneaker would be.
They also offered Nike Free Trainer because it builds muscle. But, I didn't take those because it didn't have as much cushioning.