Information on Result #1040587
Linear OOA(863, 69, F8, 3, 42) (dual of [(69, 3), 144, 43]-NRT-code), using construction X applied to AG(3;F,149P) ⊂ AG(3;F,157P) based on
- linear OOA(856, 64, F8, 3, 42) (dual of [(64, 3), 136, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,149P) [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, 3, 34) (dual of [(64, 3), 144, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,157P) [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(863, 69, F8, 3, 41) (dual of [(69, 3), 144, 42]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2189, 207, F2, 3, 42) (dual of [(207, 3), 432, 43]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8168, 138, F8, 3, 84) (dual of [(138, 3), 246, 85]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8169, 138, F8, 3, 85) (dual of [(138, 3), 245, 86]-NRT-code) | [i] | ||