Information on Result #1040804
Linear OOA(8104, 71, F8, 3, 80) (dual of [(71, 3), 109, 81]-NRT-code), using construction X applied to AG(3;F,111P) ⊂ AG(3;F,122P) based on
- linear OOA(894, 64, F8, 3, 80) (dual of [(64, 3), 98, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,111P) [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(883, 64, F8, 3, 69) (dual of [(64, 3), 109, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,122P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(810, 7, F8, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;14,8) [i]
- discarding factors / shortening the dual code based on linear OOA(810, 8, F8, 3, 10) (dual of [(8, 3), 14, 11]-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(8104, 71, F8, 3, 79) (dual of [(71, 3), 109, 80]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8158, 136, F8, 3, 80) (dual of [(136, 3), 250, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |