Information on Result #1045359
Linear OOA(9116, 90, F9, 3, 74) (dual of [(90, 3), 154, 75]-NRT-code), using construction X applied to AG(3;F,156P) ⊂ AG(3;F,176P) 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(976, 77, F9, 3, 54) (dual of [(77, 3), 155, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,176P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(920, 13, F9, 3, 19) (dual of [(13, 3), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(920, 16, F9, 3, 19) (dual of [(16, 3), 28, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(920, 16, F9, 3, 19) (dual of [(16, 3), 28, 20]-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(3232, 180, F3, 3, 74) (dual of [(180, 3), 308, 75]-NRT-code) | [i] | Trace Code for OOAs | |