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## Homework Statement

H is a nxn matrix with elements in {0,1}

G is a nxn matrix with elements in GF(2)

m is a nx1 vector with elements in GF(2).

How can we perceive the output of

HGm where Gm multiplication is in GF(2) and H multiplication is a normal real multiplication.

Actually I want to combine HG transformation into one P transformation. How can I multiply two matrices while elements in one is in GF(2) and other is in R ?

(We can also restrict the entries in H to be one of 0 and 1 but the output can be in R).