Information on Result #937703
Linear OOA(12865, 292, F128, 2, 51) (dual of [(292, 2), 519, 52]-NRT-code), using construction X applied to AG(2;F,522P) ⊂ AG(2;F,528P) based on
- linear OOA(12860, 287, F128, 2, 51) (dual of [(287, 2), 514, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,522P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12854, 287, F128, 2, 45) (dual of [(287, 2), 520, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,528P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1285, 5, F128, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;251,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1285, 128, F128, 2, 5) (dual of [(128, 2), 251, 6]-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(3291, 292, S32, 2, 51) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | OOA(6476, 292, S64, 2, 51) | [i] | ||
| 3 | Linear OOA(12865, 146, F128, 3, 51) (dual of [(146, 3), 373, 52]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(12865, 146, F128, 4, 51) (dual of [(146, 4), 519, 52]-NRT-code) | [i] | ||