Information on Result #923880
Linear OOA(8112, 104, F8, 2, 68) (dual of [(104, 2), 96, 69]-NRT-code), using construction X applied to AG(2;F,125P) ⊂ AG(2;F,133P) based on
- linear OOA(8105, 97, F8, 2, 68) (dual of [(97, 2), 89, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,125P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(897, 97, F8, 2, 60) (dual of [(97, 2), 97, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [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(8112, 52, F8, 3, 68) (dual of [(52, 3), 44, 69]-NRT-code) | [i] | OOA Folding | |