Information on Result #1032682
Linear OOA(4159, 59, F4, 3, 120) (dual of [(59, 3), 18, 121]-NRT-code), using construction X applied to AG(3;F,44P) ⊂ AG(3;F,51P) based on
- linear OOA(4153, 55, F4, 3, 120) (dual of [(55, 3), 12, 121]-NRT-code), using algebraic-geometric NRT-code AG(3;F,44P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4146, 55, F4, 3, 113) (dual of [(55, 3), 19, 114]-NRT-code), using algebraic-geometric NRT-code AG(3;F,51P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
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(4258, 92, F4, 3, 187) (dual of [(92, 3), 18, 188]-NRT-code) | [i] | Juxtaposition for OOAs | |