1.
with shoes on, shod feet, outdoor footwear
Wearing shoes indoors or in a place where shoes should be removed. In Japanese culture, entering a home or certain buildings with shoes on is a significant breach of etiquette.
土足厳禁。
No shoes allowed. (Lit: Shod feet strictly prohibited.)
Cultural note
In Japan, removing shoes before entering homes, temples, some restaurants, and other buildings is a deeply rooted custom. Entering 土足で (with shoes on) is considered extremely rude and unhygienic. Signs reading 土足厳禁 (shoes strictly prohibited) or 土足禁止 (no shoes) are common at entrances.
The phrase 土足で踏み込む literally means "to step in with shoes on" and is used figuratively to mean intruding into someone's private affairs.