AKA Karaism, Qaraite Judaism, or Qaraism
As I note elsewhere, Judaism is very diverse. When one says "Judaism" one may think of the Orthodox, the Hasids, Reform, Conservative, Jewish Renewal, Reconstructionist, or some other movement or sect. All of these are part of Rabbinic Judaism, the dominant form of Judaism that arose during the first century BCE and took root following the events of 70 CE.
Karaite Judaism is not Rabbinic; it did not originate within the Rabbinic interpretations, authority, and reforms of the religion of Klal Israel. Unlike Rabbinic Jews, Karaism considers the Tanach, the Hebrew Bible, to be the only authoritative source of Jewish doctrine. While some Karaites will consider the rabbinic interpretations found in the Talmud, they do so as they would any historic commentary. For Karaites neither the Mishna nor the Talmud is divinely inspired. They reject the view that the Mishna was revealed to Moshe Rabbeinu at Mount Sinai.
Patrilineal and Matrilineal Descent
History and roots of the Karaite movement