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WordNet
luggage carrier

n. carrier (as behind a bicycle seat) for luggage

Wikipedia
Luggage carrier

A luggage carrier, also commonly called a rack, is a device attached to a bicycle to which cargo or panniers can be attached. This is popular with utility bicycles and touring bicycles.

Bicycle luggage carriers may be mounted on the front or rear of a bicycle. The rear mount is more common. Racks on the front are mostly reserved for utility and freight bicycles. A special type of front rack is a low rider which is mainly used for bicycle touring.