Information on Result #1040457
Linear OOA(860, 68, F8, 3, 40) (dual of [(68, 3), 144, 41]-NRT-code), using construction X applied to AG(3;F,151P) ⊂ AG(3;F,158P) based on
- linear OOA(854, 64, F8, 3, 40) (dual of [(64, 3), 138, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,151P) [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(847, 64, F8, 3, 33) (dual of [(64, 3), 145, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,158P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(86, 4, F8, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;18,8) [i]
- discarding factors / shortening the dual code based on linear OOA(86, 8, F8, 3, 6) (dual of [(8, 3), 18, 7]-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(2180, 204, F2, 3, 40) (dual of [(204, 3), 432, 41]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8160, 136, F8, 3, 80) (dual of [(136, 3), 248, 81]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8161, 137, F8, 3, 80) (dual of [(137, 3), 250, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(8161, 136, F8, 3, 81) (dual of [(136, 3), 247, 82]-NRT-code) | [i] | ||
| 5 | Linear OOA(8162, 137, F8, 3, 81) (dual of [(137, 3), 249, 82]-NRT-code) | [i] | ||