Information on Result #1126207
Linear OOA(3224, 53, F3, 5, 164) (dual of [(53, 5), 41, 165]-NRT-code), using construction X applied to AG(5;F,70P) ⊂ AG(5;F,85P) based on
- linear OOA(3209, 47, F3, 5, 164) (dual of [(47, 5), 26, 165]-NRT-code), using algebraic-geometric NRT-code AG(5;F,70P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3194, 47, F3, 5, 149) (dual of [(47, 5), 41, 150]-NRT-code), using algebraic-geometric NRT-code AG(5;F,85P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(315, 6, F3, 5, 14) (dual of [(6, 5), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,20P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(315, 7, F3, 5, 14) (dual of [(7, 5), 20, 15]-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(3224, 53, F3, 5, 163) (dual of [(53, 5), 41, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 53, F3, 5, 162) (dual of [(53, 5), 41, 163]-NRT-code) | [i] | ||