Halakha comes from a root meaning to walk, and the tradition counts 613 commandments in the Torah, of which a large number concern the Temple and are not currently practicable. Everything else is derived, and the machinery of derivation is what the tradition mostly consists of.
The Mishnah, compiled around 200, records rabbinic legal opinion in six orders covering agriculture, festivals, women and marriage, damages and civil law, holy things and purity. The Gemara, the record of subsequent debate in the academies of Babylonia and the land of Israel, was combined with it to form the two Talmuds, of which the Babylonian became authoritative. Talmudic argument is characteristically unresolved: it preserves minority opinions, records objections without always answering them, and reasons at length about cases that could not arise.
Because a body of argument is not a usable code, later authorities produced codes. Maimonides's Mishneh Torah in the twelfth century arranged the whole law topically and without citing sources, which was controversial precisely because it obscured the reasoning. Joseph Karo's Shulchan Aruch of 1565, with the glosses of Moses Isserles recording Ashkenazi practice where it differed from Karo's Sephardi rulings, became the standard reference and remains so.
Alongside the codes runs the literature of responsa, answers by individual authorities to specific questions put to them, which is where the law meets circumstances the codes did not anticipate: electricity on the Sabbath, autopsy, artificial insemination, the status of a soldier missing in action.
There is no central authority and no supreme court. A halakhic position acquires standing through the reputation of its author and its acceptance by communities, which makes Jewish law more like a common-law tradition of accumulated precedent than a legislated system.