Information on Result #937699
Linear OOA(12869, 292, F128, 2, 55) (dual of [(292, 2), 515, 56]-NRT-code), using construction X applied to AG(2;F,518P) ⊂ AG(2;F,524P) based on
- linear OOA(12864, 287, F128, 2, 55) (dual of [(287, 2), 510, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,518P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12858, 287, F128, 2, 49) (dual of [(287, 2), 516, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,524P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1285, 5, F128, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;251,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
Mode: Constructive and linear.
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(3297, 292, S32, 2, 55) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | OOA(6481, 292, S64, 2, 55) | [i] | ||
| 3 | Linear OOA(12869, 146, F128, 3, 55) (dual of [(146, 3), 369, 56]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12869, 146, F128, 4, 55) (dual of [(146, 4), 515, 56]-NRT-code) | [i] | ||