Information on Result #658794
Linear OA(858, 73, F8, 41) (dual of [73, 15, 42]-code), using construction X applied to AG(F,23P) ⊂ AG(F,28P) based on
- linear OA(853, 64, F8, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) 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(849, 64, F8, 35) (dual of [64, 15, 36]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
- extended Reed–Solomon code RSe(4,8) [i]
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(857, 72, F8, 40) (dual of [72, 15, 41]-code) | [i] | Truncation | |