Information on Result #921898
Linear OOA(835, 67, F8, 2, 18) (dual of [(67, 2), 99, 19]-NRT-code), using construction X applied to AG(2;F,109P) ⊂ AG(2;F,113P) based on
- linear OOA(832, 64, F8, 2, 18) (dual of [(64, 2), 96, 19]-NRT-code), using algebraic-geometric NRT-code AG(2;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(828, 64, F8, 2, 14) (dual of [(64, 2), 100, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,113P) [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(8121, 421, F8, 2, 36) (dual of [(421, 2), 721, 37]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8123, 421, F8, 2, 37) (dual of [(421, 2), 719, 38]-NRT-code) | [i] | ||