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Rindo-kan Karate is a fictional martial art style used by Makoto. There is also a dojo that teaches it, though not many people know of it. Because of this, Makoto fights to show the world how strong the style is.
Rindo-kan Karate bears a resemblance to (and is most likely inspired by) the real-life art of Shotokan karate, much more so than the Ansatsuken fighting style that Ryu, Ken and the other "shoto" fighters use.