Indian rice vs wild rice

Indian rice and wild rice both are nouns.

Word	Noun	Adjective	Verb	Adverb
Indian rice	Yes	No	No	No
wild rice	Yes	No	No	No

As nouns, Indian rice and wild rice are synonyms defined as:

Indian rice (noun)	wild rice (noun)
grains of aquatic grass of North America	grains of aquatic grass of North America
	perennial aquatic grass of North America bearing grain used for food