Information on Result #921854
Linear OOA(857, 67, F8, 2, 40) (dual of [(67, 2), 77, 41]-NRT-code), using construction X applied to AG(2;F,87P) ⊂ AG(2;F,91P) 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(850, 64, F8, 2, 36) (dual of [(64, 2), 78, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,91P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(83, 3, F8, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(83, 8, F8, 2, 3) (dual of [(8, 2), 13, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;13,8) [i]
- discarding factors / shortening the dual code based on linear OOA(83, 8, F8, 2, 3) (dual of [(8, 2), 13, 4]-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(8154, 134, F8, 2, 80) (dual of [(134, 2), 114, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8155, 135, F8, 2, 80) (dual of [(135, 2), 115, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(8155, 134, F8, 2, 81) (dual of [(134, 2), 113, 82]-NRT-code) | [i] | ||
| 4 | Linear OOA(8156, 135, F8, 2, 81) (dual of [(135, 2), 114, 82]-NRT-code) | [i] | ||