Information on Result #922568
Linear OOA(8111, 75, F8, 2, 86) (dual of [(75, 2), 39, 87]-NRT-code), using construction X applied to AG(2;F,41P) ⊂ AG(2;F,52P) based on
- linear OOA(8100, 64, F8, 2, 86) (dual of [(64, 2), 28, 87]-NRT-code), using algebraic-geometric NRT-code AG(2;F,41P) [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(889, 64, F8, 2, 75) (dual of [(64, 2), 39, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,52P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(811, 11, F8, 2, 10) (dual of [(11, 2), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [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(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-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(8168, 140, F8, 2, 86) (dual of [(140, 2), 112, 87]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |