Information on Result #923870
Linear OOA(8122, 104, F8, 2, 78) (dual of [(104, 2), 86, 79]-NRT-code), using construction X applied to AG(2;F,115P) ⊂ AG(2;F,123P) based on
- linear OOA(8115, 97, F8, 2, 78) (dual of [(97, 2), 79, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,115P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8107, 97, F8, 2, 70) (dual of [(97, 2), 87, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,123P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(87, 7, F8, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;9,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 2, 7) (dual of [(8, 2), 9, 8]-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(8122, 52, F8, 3, 78) (dual of [(52, 3), 34, 79]-NRT-code) | [i] | OOA Folding | |