Information on Result #658825
Linear OA(873, 86, F8, 50) (dual of [86, 13, 51]-code), using construction X applied to AG(F,13P) ⊂ AG(F,25P) 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(851, 64, F8, 38) (dual of [64, 13, 39]-code), using algebraic-geometric code AG(F,25P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OA(814, 22, F8, 11) (dual of [22, 8, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 23, F8, 11) (dual of [23, 9, 12]-code), using
- algebraic-geometric code AG(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- algebraic-geometric code AG(F,11P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(814, 23, F8, 11) (dual of [23, 9, 12]-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 OOA(873, 43, F8, 2, 50) (dual of [(43, 2), 13, 51]-NRT-code) | [i] | OOA Folding | |