Information on Result #644107
Linear OA(819, 26, F8, 15) (dual of [26, 7, 16]-code), using construction X applied to AG(F,7P) ⊂ AG(F,9P) based on
- 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, using
- the Klein quartic over F8 [i]
- linear OA(816, 23, F8, 13) (dual of [23, 7, 14]-code), using algebraic-geometric code AG(F,9P) [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(892, 99, F8, 70) (dual of [99, 7, 71]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(8149, 156, F8, 118) (dual of [156, 7, 119]-code) | [i] | ||
| 3 | Linear OOA(2135, 78, F2, 2, 63) (dual of [(78, 2), 21, 64]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 4 | Linear OOA(2135, 52, F2, 3, 63) (dual of [(52, 3), 21, 64]-NRT-code) | [i] | ||
| 5 | Linear OOA(2213, 78, F2, 3, 111) (dual of [(78, 3), 21, 112]-NRT-code) | [i] | ||
| 6 | Linear OA(882, 90, F8, 62) (dual of [90, 8, 63]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OOA(819, 13, F8, 2, 15) (dual of [(13, 2), 7, 16]-NRT-code) | [i] | OOA Folding | |