At the start of Man of Steel, we see Jor-El imbuing Kal-El with the Kryptonian Codex.
The Codex is an ancient Kryptonian artifact that defines the genetic makeup of the artificially incubated babies on the planet.
I will elaborate on this: he holds back for most of the movie, he never had to push himself at all, ever. Once he beat the World Engine, he came back and proceeded to mush Zod and then kill him. Despite Zod being a soldier made by the Codex, and Kal-El wasn't made from the Codex, but contained the Codex.
Does this Codex being in the DNA itself of Kal-El make him stronger than other Kryptonians?
Does it have any other effect on Kal-El?