While it seems to me that knowledge of the Bible and/or Quran would have given the average European and Middle Easterner some knowledge (at least by reputation) of at least a stereotype of a Jewish person, would East Asians (in this case, let us narrow it to Japan, China, and Korea to keep it within reasonable limitations, but feel free to include Southeast Asia, as well) have had any concept of Judaism or Jews? Is there any evidence of contact between Jews and East Asian cultures, or significant migration or trade therebetween?

I'm particularly interested in the period beginning with the Nanban Boeki Jidai (around the mid-16th Century) and extending to the time around the Boxer Rebellion, but feel free to take this all the way up to the limits of the allowable periods of this subreddit (approx. 1990s).