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Topic: Subspaces of Z_2^m
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Andrej Bauer

Posts: 5
Registered: 12/12/04
Subspaces of Z_2^m
Posted: Jul 18, 1996 5:47 PM
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Consider a set A_1, ..., A_k, of n-dimensional
vector subspaces of m-dimensional hypercube Z_2^m, such that
for every i =/= j we have

dim (A_i intersection A_j) <= d.

I am interested in inequalities among k,m,n and d.
In particular, what are upper bounds for k, and
lower bounds for d?

It seems like this problem must have been studied
somewhere. Any pointers are appreciated.


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