Information on Result #658800
Linear OA(869, 80, F8, 50) (dual of [80, 11, 51]-code), using construction X applied to AG(F,13P) ⊂ AG(F,23P) 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(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 (see above)
- linear OA(810, 16, F8, 8) (dual of [16, 6, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), 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(868, 79, F8, 49) (dual of [79, 11, 50]-code) | [i] | Truncation | |
| 2 | Linear OOA(869, 40, F8, 2, 50) (dual of [(40, 2), 11, 51]-NRT-code) | [i] | OOA Folding | |