Information on Result #1047162
Linear OOA(12867, 296, F128, 3, 45) (dual of [(296, 3), 821, 46]-NRT-code), using construction X applied to AG(3;F,815P) ⊂ AG(3;F,829P) based on
- linear OOA(12854, 287, F128, 3, 45) (dual of [(287, 3), 807, 46]-NRT-code), using algebraic-geometric NRT-code AG(3;F,815P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12840, 287, F128, 3, 31) (dual of [(287, 3), 821, 32]-NRT-code), using algebraic-geometric NRT-code AG(3;F,829P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(12813, 9, F128, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12813, 128, F128, 3, 13) (dual of [(128, 3), 371, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;371,128) [i]
- discarding factors / shortening the dual code based on linear OOA(12813, 128, F128, 3, 13) (dual of [(128, 3), 371, 14]-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(12867, 296, F128, 3, 44) (dual of [(296, 3), 821, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |