Unions of t cache configurations from an m-fold Cartesian product of a base PDA yield coded caching schemes with C(m,t) K1^t users, gain C(m,t) g1^t, subpacketization lambda^t (F1/lambda)^m, and load (S1/F1)^t.
An index coding approach to caching with uncoded cache placement,
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PDA Construction via Union of Cartesian Product Cache Configurations for Coded Caching
Unions of t cache configurations from an m-fold Cartesian product of a base PDA yield coded caching schemes with C(m,t) K1^t users, gain C(m,t) g1^t, subpacketization lambda^t (F1/lambda)^m, and load (S1/F1)^t.