Information on Result #1037753
Linear OOA(4243, 151, F4, 3, 101) (dual of [(151, 3), 210, 102]-NRT-code), using construction X applied to AG(3;F,285P) ⊂ AG(3;F,314P) based on
- linear OOA(4206, 129, F4, 3, 101) (dual of [(129, 3), 181, 102]-NRT-code), using algebraic-geometric NRT-code AG(3;F,285P) [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(4177, 129, F4, 3, 72) (dual of [(129, 3), 210, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,314P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
- linear OOA(437, 22, F4, 3, 28) (dual of [(22, 3), 29, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 22, 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(4243, 151, F4, 3, 100) (dual of [(151, 3), 210, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |