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E1 is an $F_q$-linear space of dimension r of $F_{q^m}$.

E2 is an $F_q$-linear space of dimension d of $F_{q^m}$.

How to obtain the product of E1 and E2?

E1 is an $F_q$-linear space of dimension r of $F_{q^m}$.

E2 is an $F_q$-linear space of dimension d of $F_{q^m}$.

How to fastly obtain the product of E1 and E2?

E1 is an $F_q$-linear space of dimension r of $F_{q^m}$.

E2 is an $F_q$-linear space of dimension d of $F_{q^m}$.

How to fastly obtain the product of E1 and E2?

Let $F_{q^m}$ be a finite field that is the extension of degree m of a finite field $F_q$. r<m, d<m.<="" p="">

E1 is an $F_q$-linear space of dimension r of $F_{q^m}$.

E2 is an $F_q$-linear space of dimension d of $F_{q^m}$.

How to fastly obtain the product of E1 and E2?