Information on Result #1040547
Linear OOA(8103, 69, F8, 3, 82) (dual of [(69, 3), 104, 83]-NRT-code), using construction X applied to AG(3;F,109P) ⊂ AG(3;F,117P) based on
- linear OOA(896, 64, F8, 3, 82) (dual of [(64, 3), 96, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) [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(888, 64, F8, 3, 74) (dual of [(64, 3), 104, 75]-NRT-code), using algebraic-geometric NRT-code AG(3;F,117P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(87, 5, F8, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;17,8) [i]
- discarding factors / shortening the dual code based on linear OOA(87, 8, F8, 3, 7) (dual of [(8, 3), 17, 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(8103, 69, F8, 3, 81) (dual of [(69, 3), 104, 82]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8158, 134, F8, 3, 82) (dual of [(134, 3), 244, 83]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8162, 136, F8, 3, 82) (dual of [(136, 3), 246, 83]-NRT-code) | [i] | ||
| 4 | Linear OOA(8164, 137, F8, 3, 82) (dual of [(137, 3), 247, 83]-NRT-code) | [i] | ||
| 5 | Linear OOA(8165, 138, F8, 3, 82) (dual of [(138, 3), 249, 83]-NRT-code) | [i] | ||