Information on Result #1047177
Linear OOA(12876, 298, F128, 3, 51) (dual of [(298, 3), 818, 52]-NRT-code), using construction X applied to AG(3;F,809P) ⊂ AG(3;F,826P) based on
- linear OOA(12860, 287, F128, 3, 51) (dual of [(287, 3), 801, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,809P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12843, 287, F128, 3, 34) (dual of [(287, 3), 818, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,826P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(12816, 11, F128, 3, 16) (dual of [(11, 3), 17, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12816, 128, F128, 3, 16) (dual of [(128, 3), 368, 17]-NRT-code), using
- Reed–Solomon NRT-code RS(3;368,128) [i]
- discarding factors / shortening the dual code based on linear OOA(12816, 128, F128, 3, 16) (dual of [(128, 3), 368, 17]-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(12876, 298, F128, 3, 50) (dual of [(298, 3), 818, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |