Information on Result #644275
Linear OA(853, 73, F8, 35) (dual of [73, 20, 36]-code), using construction X applied to AG(F,28P) ⊂ AG(F,33P) based on
- 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, using
- the Suzuki function field over F8 [i]
- linear OA(844, 64, F8, 30) (dual of [64, 20, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(84, 9, F8, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,8)), using
- extended Reed–Solomon code RSe(5,8) [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(2231, 288, F2, 71) (dual of [288, 57, 72]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OA(2230, 284, F2, 71) (dual of [284, 54, 72]-code) | [i] | ||
| 3 | Linear OA(2229, 280, F2, 71) (dual of [280, 51, 72]-code) | [i] | ||