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Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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votes
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answer
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views
Minimal spanning set of binary vectors
For a fixed integer $m$, does there exist a set of $a=\Theta(m)$ vectors $\mathcal{V}= \{v_1, v_2, \dots, v_a\}$ in binary Field (i.e $v_i \in \mathbb{F}_2^m$) with Hamming distance of at least $d$ fo …