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Given a quadratic form Q(x,y) over a field of characteristic different from 2, we can

find the bilinear form B(x,y) associated with Q by using the formula:

(0.5)[Q(x+y)-Q(x)-Q(y)]=B(x,y).

I know there is a whole theory about what happens when we work over fields of

characteristic 2, with the Arf -Invariant , Artin's and other's books on Geometric

Algebra and everything, which I am looking into.

Still, I wonder if someone knows the quick-and-dirty on how to transform an

actual, specific quadratic q form over Z/2 into its associated bilinear form.

Thanks.

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# Bilinear Forms associated With a Quadratic Form over Z/2

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