Information on Result #644129
Linear OA(827, 32, F8, 21) (dual of [32, 5, 22]-code), using construction X applied to AG(F,0P) ⊂ AG(F,7P) based on
- linear OA(822, 23, F8, 22) (dual of [23, 1, 23]-code or 23-arc in PG(21,8)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(818, 23, F8, 15) (dual of [23, 5, 16]-code), using algebraic-geometric code AG(F,7P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (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(8139, 544, F8, 43) (dual of [544, 405, 44]-code) | [i] | (u, u+v)-Construction | |