Information on Result #1833440
OOA(6456, 293, S64, 2, 33), using discarding parts of the base based on linear OOA(12848, 293, F128, 2, 33) (dual of [(293, 2), 538, 34]-NRT-code), using
- construction X applied to AG(2;F,540P) ⊂ AG(2;F,547P) [i] based on
- linear OOA(12842, 287, F128, 2, 33) (dual of [(287, 2), 532, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,540P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12835, 287, F128, 2, 26) (dual of [(287, 2), 539, 27]-NRT-code), using algebraic-geometric NRT-code AG(2;F,547P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1286, 6, F128, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 2, 6) (dual of [(128, 2), 250, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;250,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 2, 6) (dual of [(128, 2), 250, 7]-NRT-code), using
Mode: Constructive.
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(6458, 294, S64, 2, 33) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(6457, 293, S64, 2, 33) | [i] | OOA Duplication | |
| 3 | OOA(8112, 586, S8, 2, 33) | [i] | Trace Code for OOAs | |