Information on Result #644119
Linear OA(813, 26, F8, 9) (dual of [26, 13, 10]-code), using construction X applied to AG(F,13P) ⊂ AG(F,15P) based on
- linear OA(812, 23, F8, 9) (dual of [23, 11, 10]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- 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 (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(858, 93, F8, 30) (dual of [93, 35, 31]-code) | [i] | Construction XX with Cyclic Codes | |
| 2 | Linear OA(861, 96, F8, 31) (dual of [96, 35, 32]-code) | [i] | ||
| 3 | Linear OA(859, 90, F8, 31) (dual of [90, 31, 32]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(857, 90, F8, 30) (dual of [90, 33, 31]-code) | [i] | ||
| 5 | Linear OA(855, 90, F8, 29) (dual of [90, 35, 30]-code) | [i] | ||
| 6 | Linear OOA(813, 13, F8, 2, 9) (dual of [(13, 2), 13, 10]-NRT-code) | [i] | OOA Folding | |