Information on Result #1046764
Linear OOA(8153, 374, F81, 3, 30) (dual of [(374, 3), 1069, 31]-NRT-code), using construction X applied to AG(3;F,1076P) ⊂ AG(3;F,1084P) based on
- linear OOA(8146, 369, F81, 3, 30) (dual of [(369, 3), 1061, 31]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1076P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8138, 369, F81, 3, 22) (dual of [(369, 3), 1069, 23]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1084P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(817, 5, F81, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 3, 7) (dual of [(81, 3), 236, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;236,81) [i]
- discarding factors / shortening the dual code based on linear OOA(817, 81, F81, 3, 7) (dual of [(81, 3), 236, 8]-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(8153, 374, F81, 3, 29) (dual of [(374, 3), 1069, 30]-NRT-code) | [i] | Strength Reduction for OOAs | |