Information on Result #644102
Linear OA(821, 26, F8, 17) (dual of [26, 5, 18]-code), using construction X applied to AG(F,5P) ⊂ AG(F,7P) based on
- linear OA(820, 23, F8, 17) (dual of [23, 3, 18]-code), using algebraic-geometric code AG(F,5P) [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(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(891, 96, F8, 73) (dual of [96, 5, 74]-code) | [i] | Juxtaposition | |