Information on Result #937462
Linear OOA(12871, 218, F128, 2, 63) (dual of [(218, 2), 365, 64]-NRT-code), using construction X applied to AG(2;F,366P) ⊂ AG(2;F,370P) based on
- linear OOA(12868, 215, F128, 2, 63) (dual of [(215, 2), 362, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,366P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OOA(12864, 215, F128, 2, 59) (dual of [(215, 2), 366, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,370P) [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 | OOA(6483, 218, S64, 2, 63) | [i] | Discarding Parts of the Base for OOAs | |