Information on Result #644123
Linear OA(811, 26, F8, 7) (dual of [26, 15, 8]-code), using construction X applied to AG(F,15P) ⊂ AG(F,17P) based on
- linear OA(810, 23, F8, 7) (dual of [23, 13, 8]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(88, 23, F8, 5) (dual of [23, 15, 6]-code), using algebraic-geometric code AG(F,17P) [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 OOA(811, 13, F8, 2, 7) (dual of [(13, 2), 15, 8]-NRT-code) | [i] | OOA Folding | |