Information on Result #1091999
Linear OOA(3222, 69, F3, 4, 127) (dual of [(69, 4), 54, 128]-NRT-code), using construction X applied to AG(4;F,60P) ⊂ AG(4;F,98P) based on
- linear OOA(3172, 47, F3, 4, 127) (dual of [(47, 4), 16, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3134, 47, F3, 4, 89) (dual of [(47, 4), 54, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,98P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(350, 22, F3, 4, 37) (dual of [(22, 4), 38, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(350, 24, F3, 4, 37) (dual of [(24, 4), 46, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,58P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(350, 24, F3, 4, 37) (dual of [(24, 4), 46, 38]-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(3222, 69, F3, 4, 126) (dual of [(69, 4), 54, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |