Information on Result #1037880
Linear OOA(4237, 154, F4, 3, 90) (dual of [(154, 3), 225, 91]-NRT-code), using construction X applied to AG(3;F,296P) ⊂ AG(3;F,329P) based on
- linear OOA(4195, 129, F4, 3, 90) (dual of [(129, 3), 192, 91]-NRT-code), using algebraic-geometric NRT-code AG(3;F,296P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4162, 129, F4, 3, 57) (dual of [(129, 3), 225, 58]-NRT-code), using algebraic-geometric NRT-code AG(3;F,329P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
- linear OOA(442, 25, F4, 3, 32) (dual of [(25, 3), 33, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(442, 26, F4, 3, 32) (dual of [(26, 3), 36, 33]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,45P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(442, 26, F4, 3, 32) (dual of [(26, 3), 36, 33]-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(4237, 154, F4, 3, 89) (dual of [(154, 3), 225, 90]-NRT-code) | [i] | Strength Reduction for OOAs | |