Information on Result #938317
Linear OOA(8149, 87, F8, 2, 113) (dual of [(87, 2), 25, 114]-NRT-code), using construction X applied to AG(2;F,13P) ⊂ AG(2;F,38P) based on
- linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) with known gap numbers [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(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 (see above)
- linear OOA(826, 23, F8, 2, 23) (dual of [(23, 2), 20, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(826, 24, F8, 2, 23) (dual of [(24, 2), 22, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(826, 24, F8, 2, 23) (dual of [(24, 2), 22, 24]-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(8147, 86, F8, 2, 111) (dual of [(86, 2), 25, 112]-NRT-code) | [i] | Truncation for OOAs | |