Information on Result #922746
Linear OOA(8108, 77, F8, 2, 81) (dual of [(77, 2), 46, 82]-NRT-code), using construction X applied to AG(2;F,46P) ⊂ AG(2;F,59P) based on
- linear OOA(895, 64, F8, 2, 81) (dual of [(64, 2), 33, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,46P) [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(882, 64, F8, 2, 68) (dual of [(64, 2), 46, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,59P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(813, 13, F8, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(813, 14, F8, 2, 12) (dual of [(14, 2), 15, 13]-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(8162, 142, F8, 2, 81) (dual of [(142, 2), 122, 82]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |