Information on Result #937550
Linear OOA(12827, 218, F128, 2, 19) (dual of [(218, 2), 409, 20]-NRT-code), using construction X applied to AG(2;F,410P) ⊂ AG(2;F,414P) based on
- linear OOA(12824, 215, F128, 2, 19) (dual of [(215, 2), 406, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,410P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OOA(12820, 215, F128, 2, 15) (dual of [(215, 2), 410, 16]-NRT-code), using algebraic-geometric NRT-code AG(2;F,414P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OOA(1283, 3, F128, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;253,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-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 | Linear OOA(12874, 506, F128, 2, 38) (dual of [(506, 2), 938, 39]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(12875, 506, F128, 2, 39) (dual of [(506, 2), 937, 40]-NRT-code) | [i] | ||