Information on Result #1041131
Linear OOA(8142, 74, F8, 3, 113) (dual of [(74, 3), 80, 114]-NRT-code), using construction X applied to AG(3;F,78P) ⊂ AG(3;F,93P) based on
- linear OOA(8127, 64, F8, 3, 113) (dual of [(64, 3), 65, 114]-NRT-code), using algebraic-geometric NRT-code AG(3;F,78P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(8112, 64, F8, 3, 98) (dual of [(64, 3), 80, 99]-NRT-code), using algebraic-geometric NRT-code AG(3;F,93P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(815, 10, F8, 3, 14) (dual of [(10, 3), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 3, 14) (dual of [(14, 3), 27, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 3, 14) (dual of [(14, 3), 27, 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(8142, 74, F8, 3, 112) (dual of [(74, 3), 80, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |