Information on Result #1619184
Linear OOA(12878, 388, F128, 4, 57) (dual of [(388, 4), 1474, 58]-NRT-code), using construction X applied to AG(4;F,1482P) ⊂ AG(4;F,1489P) based on
- linear OOA(12872, 385, F128, 4, 57) (dual of [(385, 4), 1468, 58]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1482P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12865, 385, F128, 4, 50) (dual of [(385, 4), 1475, 51]-NRT-code), using algebraic-geometric NRT-code AG(4;F,1489P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1286, 3, F128, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 4, 6) (dual of [(128, 4), 506, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(4;506,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 4, 6) (dual of [(128, 4), 506, 7]-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(12878, 388, F128, 4, 56) (dual of [(388, 4), 1474, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |