Information on Result #922070
Linear OOA(859, 69, F8, 2, 40) (dual of [(69, 2), 79, 41]-NRT-code), using construction X applied to AG(2;F,87P) ⊂ AG(2;F,93P) based on
- linear OOA(854, 64, F8, 2, 40) (dual of [(64, 2), 74, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,87P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(848, 64, F8, 2, 34) (dual of [(64, 2), 80, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,93P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(85, 5, F8, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;11,8) [i]
- discarding factors / shortening the dual code based on linear OOA(85, 8, F8, 2, 5) (dual of [(8, 2), 11, 6]-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(8158, 138, F8, 2, 80) (dual of [(138, 2), 118, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8159, 139, F8, 2, 80) (dual of [(139, 2), 119, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(8159, 138, F8, 2, 81) (dual of [(138, 2), 117, 82]-NRT-code) | [i] | ||
| 4 | Linear OOA(8160, 139, F8, 2, 81) (dual of [(139, 2), 118, 82]-NRT-code) | [i] | ||