Information on Result #928590
Linear OOA(9143, 172, F9, 2, 71) (dual of [(172, 2), 201, 72]-NRT-code), using construction X applied to AG(2;F,256P) ⊂ AG(2;F,265P) based on
- linear OOA(9135, 164, F9, 2, 71) (dual of [(164, 2), 193, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,256P) [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(9126, 164, F9, 2, 62) (dual of [(164, 2), 202, 63]-NRT-code), using algebraic-geometric NRT-code AG(2;F,265P) [i] based on function field F/F9 with g(F) = 64 and N(F) ≥ 165 (see above)
- linear OOA(98, 8, F9, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(98, 9, F9, 2, 8) (dual of [(9, 2), 10, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;10,9) [i]
- discarding factors / shortening the dual code based on linear OOA(98, 9, F9, 2, 8) (dual of [(9, 2), 10, 9]-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(9143, 86, F9, 3, 71) (dual of [(86, 3), 115, 72]-NRT-code) | [i] | OOA Folding | |