Information on Result #1044851
Linear OOA(9105, 83, F9, 3, 74) (dual of [(83, 3), 144, 75]-NRT-code), using construction X applied to AG(3;F,156P) ⊂ AG(3;F,166P) based on
- linear OOA(996, 77, F9, 3, 74) (dual of [(77, 3), 135, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,156P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(986, 77, F9, 3, 64) (dual of [(77, 3), 145, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,166P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(99, 6, F9, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(99, 9, F9, 3, 9) (dual of [(9, 3), 18, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,9) [i]
- discarding factors / shortening the dual code based on linear OOA(99, 9, F9, 3, 9) (dual of [(9, 3), 18, 10]-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(3210, 166, F3, 3, 74) (dual of [(166, 3), 288, 75]-NRT-code) | [i] | Trace Code for OOAs | |