Information on Result #661615
Linear OA(8129, 134, F8, 106) (dual of [134, 5, 107]-code), using juxtaposition based on
- linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using
- algebraic-geometric code AG(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 OA(865, 70, F8, 55) (dual of [70, 5, 56]-code), using
- construction X applied to AG(F,10P) ⊂ AG(F,13P) [i] based on
- linear OA(861, 64, F8, 55) (dual of [64, 3, 56]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(859, 64, F8, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- construction X applied to AG(F,10P) ⊂ AG(F,13P) [i] based on
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(8129, 67, F8, 2, 106) (dual of [(67, 2), 5, 107]-NRT-code) | [i] | OOA Folding | |