Information on Result #921999
Linear OOA(837, 68, F8, 2, 19) (dual of [(68, 2), 99, 20]-NRT-code), using construction X applied to AG(2;F,108P) ⊂ AG(2;F,113P) based on
- linear OOA(833, 64, F8, 2, 19) (dual of [(64, 2), 95, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [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(84, 4, F8, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 2, 4) (dual of [(8, 2), 12, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;12,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 2, 4) (dual of [(8, 2), 12, 5]-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(8127, 422, F8, 2, 38) (dual of [(422, 2), 717, 39]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8129, 422, F8, 2, 39) (dual of [(422, 2), 715, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(837, 34, F8, 3, 19) (dual of [(34, 3), 65, 20]-NRT-code) | [i] | OOA Folding | |