Information on Result #644225
Linear OA(856, 69, F8, 40) (dual of [69, 13, 41]-code), using construction X applied to AG(F,23P) ⊂ AG(F,26P) based on
- linear OA(854, 64, F8, 40) (dual of [64, 10, 41]-code), using algebraic-geometric code AG(F,23P) [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(851, 64, F8, 37) (dual of [64, 13, 38]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(82, 5, F8, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8124, 136, F8, 81) (dual of [136, 12, 82]-code) | [i] | Repeating Each Code Word | |