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user13113
user13113

$\mathbf{F}_2^{12}$$\mathrm{GF}(2^{12})$ is isomorphic, as an abelian group, to $\mathbf{F}_{2^6}^2$. Viewed as a two-dimensional vector space over $\mathbf{F}_{2^6}$, each$\mathrm{GF}(2^6)$. The one-dimensional subspace containssubspaces are all disjoint $0$(barring the zero vector), and $63$ other vectorscontain 63 nonzero elements each.

$\mathbf{F}_2^{12}$ is isomorphic, as an abelian group, to $\mathbf{F}_{2^6}^2$. Viewed as a vector space over $\mathbf{F}_{2^6}$, each one-dimensional subspace contains $0$ and $63$ other vectors.

$\mathrm{GF}(2^{12})$ is a two-dimensional vector space over $\mathrm{GF}(2^6)$. The one-dimensional subspaces are all disjoint (barring the zero vector), and contain 63 nonzero elements each.

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user13113
user13113

$\mathbf{F}_2^{12}$ is isomorphic, as an abelian group, to $\mathbf{F}_{2^6}^2$. Viewed as a vector space over $\mathbf{F}_{2^6}$, each one-dimensional subspace contains $0$ and $63$ other vectors.