updates?
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@@ -160,14 +160,14 @@ Can we trade the recovery threshold $K$ for a smaller $s$?
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#### Construction of Short-Dot codes
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Choose a super-regular matrix $B\in \mathbb{F}^{P\time K}$, where $P$ is the number of worker nodes.
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Choose a super-regular matrix $B\in \mathbb{F}^{P\times K}$, where $P$ is the number of worker nodes.
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- A matrix is supper-regular if every square submatrix is invertible.
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- Lagrange/Cauchy matrix is super-regular (next lecture).
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Create matrix $\tilde{A}$ by stacking some $Z\in \mathbb{F}^{(K-M)\times N}$ below matrix $A$.
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Let $F=B\dot \tilde{A}\in \mathbb{F}^{P\times N}$.
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Let $F=B\cdot \tilde{A}\in \mathbb{F}^{P\times N}$.
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**Short-Dot**: create matrix $F\in \mathbb{F}^{P\times N}$ such that:
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