Information on Result #1577895
Linear OOA(12869, 390, F128, 3, 47) (dual of [(390, 3), 1101, 48]-NRT-code), using construction X applied to AG(3;F,1107P) ⊂ AG(3;F,1115P) based on
- linear OOA(12862, 385, F128, 3, 47) (dual of [(385, 3), 1093, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1107P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12854, 385, F128, 3, 39) (dual of [(385, 3), 1101, 40]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1115P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1287, 5, F128, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;377,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
Mode: 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 | Linear OOA(12869, 390, F128, 3, 46) (dual of [(390, 3), 1101, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |