Information on Result #938250
Linear OOA(8139, 79, F8, 2, 111) (dual of [(79, 2), 19, 112]-NRT-code), using construction X applied to AG(2;F,16P) ⊂ AG(2;F,32P) based on
- linear OOA(8122, 64, F8, 2, 111) (dual of [(64, 2), 6, 112]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) 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(8109, 64, F8, 2, 95) (dual of [(64, 2), 19, 96]-NRT-code), using algebraic-geometric NRT-code AG(2;F,32P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(817, 15, F8, 2, 15) (dual of [(15, 2), 13, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(817, 17, F8, 2, 15) (dual of [(17, 2), 17, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(817, 17, F8, 2, 15) (dual of [(17, 2), 17, 16]-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(8139, 79, F8, 2, 110) (dual of [(79, 2), 19, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |