Information on Result #1048464
Linear OOA(4201, 546, F4, 3, 51) (dual of [(546, 3), 1437, 52]-NRT-code), using trace code based on linear OOA(6467, 182, F64, 3, 51) (dual of [(182, 3), 479, 52]-NRT-code), using
- construction X applied to AG(3;F,476P) ⊂ AG(3;F,486P) [i] based on
- linear OOA(6458, 176, F64, 3, 51) (dual of [(176, 3), 470, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,476P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6448, 176, F64, 3, 41) (dual of [(176, 3), 480, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,486P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(649, 6, F64, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 3, 9) (dual of [(64, 3), 183, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;183,64) [i]
- discarding factors / shortening the dual code based on linear OOA(649, 64, F64, 3, 9) (dual of [(64, 3), 183, 10]-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(4202, 546, F4, 3, 51) (dual of [(546, 3), 1436, 52]-NRT-code) | [i] | OOA Duplication | |