Information on Result #1041690
Linear OOA(8143, 100, F8, 3, 102) (dual of [(100, 3), 157, 103]-NRT-code), using construction X applied to AG(3;F,188P) ⊂ AG(3;F,193P) based on
- linear OOA(8139, 97, F8, 3, 102) (dual of [(97, 3), 152, 103]-NRT-code), using algebraic-geometric NRT-code AG(3;F,188P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8134, 97, F8, 3, 97) (dual of [(97, 3), 157, 98]-NRT-code), using algebraic-geometric NRT-code AG(3;F,193P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(84, 3, F8, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;20,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-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(8143, 100, F8, 3, 101) (dual of [(100, 3), 157, 102]-NRT-code) | [i] | Strength Reduction for OOAs | |