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Consider a partition code with two blocks, each being a punctured Hadamard [7,3,4] code.
Therefore, partition code approach provides (r,ℓ -cooperative locality with a better rate.
We now compare the rate of partition code and product code with the bound in (7).
On the other hand, consider a partition code with two blocks of (7,3) MDS codes.
As it is clear from the construction, partition code has the rate (frac {k}{n} = frac {r}{r + ell ^{2}}).
Developing methodologies and tools to efficiently partition code on these architectures is thus an increasingly important objective.
Similar(42)
Hence, for all r<9, the concatenated codes have a higher rate than the partition codes.
The partition codes as described above only aim at maximizing the rate of the code.
In that case, we claim that even the simple partition codes of Section 4.1 are asymptotically optimal.
High-efficiency video coding (HEVC) adopts the quadtree structure to partition coding units, and each coding unit has 35 intra-prediction modes candidates.
The concatenated codes described in Section 5 enable (r,ℓ -cooperative locality with better rate and minimum distance as compared to those of partition codes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com