He, Zhang. 2015. The terminology for carpets in ancient Central Asia. Sino-Platonic Papers 257. 1–35.
This study seeks to gather and clarify the terminology for carpets used by peoples of Central Asia from about 300 BCE to 1000 CE time, including terms in Kharoṣṭhi, Khotanese, Sanskrit and its relatives, plus Persian, Sogdian, Chinese, and Turkic.
Etienne de la Vaissière has shared another map on his academia.edu page. This time it is of the Tarim basin in the 10th century. He writes about this map:
Map drawn for a review published in Journal Asiatique, 291 1-2, 2003, p. 295-300 of Bregel, Yuri, An Historical Atlas of Central Asia, (Handbuch der Orientalistik, VIII : Central Asia, 9), Leiden : Brill, 2003, 109 p. Please feel free to modify and adapt it to your needs: the layers can be modified in Illustrator. Although I have drawn it I claim no copyright, but would welcome that you mention the source. Actually, the best map of this region and this period has been published in J. Hamilton, Manuscrits Ouïghours du IXe-Xe de Touen-Houang, Louvain, 1986.