Information on Result #1091767
Linear OOA(3212, 64, F3, 4, 129) (dual of [(64, 4), 44, 130]-NRT-code), using construction X applied to AG(4;F,58P) ⊂ AG(4;F,88P) based on
- linear OOA(3174, 47, F3, 4, 129) (dual of [(47, 4), 14, 130]-NRT-code), using algebraic-geometric NRT-code AG(4;F,58P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3144, 47, F3, 4, 99) (dual of [(47, 4), 44, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,88P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(338, 17, F3, 4, 29) (dual of [(17, 4), 30, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(338, 19, F3, 4, 29) (dual of [(19, 4), 38, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,46P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using
- discarding factors / shortening the dual code based on linear OOA(338, 19, F3, 4, 29) (dual of [(19, 4), 38, 30]-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(3212, 64, F3, 4, 128) (dual of [(64, 4), 44, 129]-NRT-code) | [i] | Strength Reduction for OOAs | |