Information on Result #1036417
Linear OOA(4257, 119, F4, 3, 158) (dual of [(119, 3), 100, 159]-NRT-code), using construction X applied to AG(3;F,150P) ⊂ AG(3;F,172P) based on
- linear OOA(4231, 103, F4, 3, 158) (dual of [(103, 3), 78, 159]-NRT-code), using algebraic-geometric NRT-code AG(3;F,150P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4209, 103, F4, 3, 136) (dual of [(103, 3), 100, 137]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(426, 16, F4, 3, 21) (dual of [(16, 3), 22, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(426, 17, F4, 3, 21) (dual of [(17, 3), 25, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(426, 17, F4, 3, 21) (dual of [(17, 3), 25, 22]-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(4257, 119, F4, 3, 157) (dual of [(119, 3), 100, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |