Information on Result #1037918
Linear OOA(4254, 156, F4, 3, 104) (dual of [(156, 3), 214, 105]-NRT-code), using construction X applied to AG(3;F,282P) ⊂ AG(3;F,318P) based on
- linear OOA(4209, 129, F4, 3, 104) (dual of [(129, 3), 178, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,282P) [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(4173, 129, F4, 3, 68) (dual of [(129, 3), 214, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,318P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
- linear OOA(445, 27, F4, 3, 35) (dual of [(27, 3), 36, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,45P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, 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(4254, 156, F4, 3, 103) (dual of [(156, 3), 214, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4254, 156, F4, 3, 102) (dual of [(156, 3), 214, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(4257, 157, F4, 3, 104) (dual of [(157, 3), 214, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |