Rhaaa! I feel sorry for asking, for some reason Google didn't gave me a satisfying answer. I should have checked better the source.
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Since there are a limited number of people who have a push access to the repository, what is the process for submitting updated/fixes to Bitcoin core and have them reviewed by the team in charge?
The contribution process is described here:
https://github.com/bitcoin/bitcoin/blob/master/CONTRIBUTING.mdI think that should cover roughly everything there is to know about how your pull requests should like etc unless you have any other specific questions.