Information on Result #922565
Linear OOA(8114, 75, F8, 2, 89) (dual of [(75, 2), 36, 90]-NRT-code), using construction X applied to AG(2;F,38P) ⊂ AG(2;F,49P) based on
- linear OOA(8103, 64, F8, 2, 89) (dual of [(64, 2), 25, 90]-NRT-code), using algebraic-geometric NRT-code AG(2;F,38P) [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(892, 64, F8, 2, 78) (dual of [(64, 2), 36, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,49P) [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(8172, 140, F8, 2, 89) (dual of [(140, 2), 108, 90]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |