Information on Result #1833380
OOA(3291, 293, S32, 2, 50), using discarding parts of the base based on linear OOA(12865, 293, F128, 2, 50) (dual of [(293, 2), 521, 51]-NRT-code), using
- construction X applied to AG(2;F,523P) ⊂ AG(2;F,530P) [i] based on
- linear OOA(12859, 287, F128, 2, 50) (dual of [(287, 2), 515, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,523P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12852, 287, F128, 2, 43) (dual of [(287, 2), 522, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,530P) [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(3293, 294, S32, 2, 50) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | OOA(3292, 293, S32, 2, 50) | [i] | OOA Duplication | |