Information on Result #644109
Linear OA(818, 26, F8, 14) (dual of [26, 8, 15]-code), using construction X applied to AG(F,8P) ⊂ AG(F,10P) based on
- linear OA(817, 23, F8, 14) (dual of [23, 6, 15]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(815, 23, F8, 12) (dual of [23, 8, 13]-code), using algebraic-geometric code AG(F,10P) [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(8144, 32794, F8, 29) (dual of [32794, 32650, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8169, 262170, F8, 29) (dual of [262170, 262001, 30]-code) | [i] | ||
| 3 | Linear OA(891, 538, F8, 28) (dual of [538, 447, 29]-code) | [i] | ||
| 4 | Linear OA(8139, 32794, F8, 28) (dual of [32794, 32655, 29]-code) | [i] | ||
| 5 | Linear OA(8163, 262170, F8, 28) (dual of [262170, 262007, 29]-code) | [i] | ||
| 6 | Linear OA(882, 90, F8, 61) (dual of [90, 8, 62]-code) | [i] | Juxtaposition | |
| 7 | Linear OOA(2132, 78, F2, 2, 59) (dual of [(78, 2), 24, 60]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(2132, 52, F2, 3, 59) (dual of [(52, 3), 24, 60]-NRT-code) | [i] | ||
| 9 | Linear OOA(2210, 78, F2, 3, 104) (dual of [(78, 3), 24, 105]-NRT-code) | [i] | ||
| 10 | Linear OOA(818, 13, F8, 2, 14) (dual of [(13, 2), 8, 15]-NRT-code) | [i] | OOA Folding | |