Information on Result #928571
Linear OOA(9140, 170, F9, 2, 70) (dual of [(170, 2), 200, 71]-NRT-code), using construction X applied to AG(2;F,257P) ⊂ AG(2;F,264P) based on
- linear OOA(9134, 164, F9, 2, 70) (dual of [(164, 2), 194, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,257P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165, using
- T4 from the second tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(9127, 164, F9, 2, 63) (dual of [(164, 2), 201, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,264P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165 (see above)
- linear OOA(96, 6, F9, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 2, 6) (dual of [(9, 2), 12, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;12,9) [i]
- discarding factors / shortening the dual code based on linear OOA(96, 9, F9, 2, 6) (dual of [(9, 2), 12, 7]-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(9140, 85, F9, 3, 70) (dual of [(85, 3), 115, 71]-NRT-code) | [i] | OOA Folding | |