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In coded caching system we prefer to design a coded caching scheme with lowsubpacketization and small transmission rate (i.e., the low implementationcomplexity and the efficient transmission during the peak traffic times).Placement delivery arrays (PDA) can be used to design code caching schemes. Inthis paper we propose a framework of constructing PDAs via Hamming distance. Asan application, two classes of coded caching schemes with linearsubpacketizations and small transmission rates are obtained.

Coded Caching Schemes with Linear Subpacketizations