Information on Result #1848137
OOA(12824, 323, S128, 2, 16), using discarding parts of the base based on linear OOA(25621, 323, F256, 2, 16) (dual of [(323, 2), 625, 17]-NRT-code), using
- construction X applied to AG(2;F,623P) ⊂ AG(2;F,627P) [i] based on
- linear OOA(25618, 320, F256, 2, 16) (dual of [(320, 2), 622, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,623P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25614, 320, F256, 2, 12) (dual of [(320, 2), 626, 13]-NRT-code), using algebraic-geometric NRT-code AG(2;F,627P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OOA(2563, 3, F256, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2563, 256, F256, 2, 3) (dual of [(256, 2), 509, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;509,256) [i]
- discarding factors / shortening the dual code based on linear OOA(2563, 256, F256, 2, 3) (dual of [(256, 2), 509, 4]-NRT-code), using
Mode: Arbitrary.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12826, 324, S128, 2, 16) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(12825, 323, S128, 2, 16) | [i] | OOA Duplication | |