Sifrei Mitzvot sur Le Deutéronome 21:5

A women shall not adorn herself with man's adornment, such as a mitre, or a helmet, or a coat of armor, and the like, or cut the hair of her head man-fashion; neither shall a man adorn himself with the adornment of a women, for instance to wear loud-colored garments or golden ornaments in a territory where such clothes are not in style for men to wear or where such ornaments are not put on by any save women, all depending on the custom of the land. A man who adorned himself with woman's ornaments, or a woman who adorned herself with man's ornaments, are striped. One who picks white hairs from his head or beard, after he had picked the first hair thereof is guilty and is striped, because he adorned himself with woman's ornaments. Likewise if he dyed his hair black, after he had dyed the first white hair he is guilty and is striped. A gynander, or androgyne is forbidden to either wrap his head like a woman or shave it man-fashion; but if he did either of the two he is not striped.¹³Nazir, 59a; Makkot, 20a; Shabbat, 94b; Tosefta, Bikkurim, Chapter, 2. C. G.

That a woman shall not wear the attire of a man, as it is said, “The woman shall not wear that which pertaineth to a man” (Deut. 22:5).

That a man shall not wear the attire of a woman, as it is said, “Neither shall a man put on a woman’s garment” (ibid.); for this was the custom of idolaters, as is explained in books treating of idolatrous worship.