Information on Result #644173
Linear OA(829, 44, F8, 20) (dual of [44, 15, 21]-code), using algebraic-geometric code AG(F,23P) based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, 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(873, 88, F8, 41) (dual of [88, 15, 42]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(872, 86, F8, 41) (dual of [86, 14, 42]-code) | [i] | ||
| 3 | Linear OA(871, 84, F8, 41) (dual of [84, 13, 42]-code) | [i] | ||
| 4 | Linear OA(8113, 126, F8, 62) (dual of [126, 13, 63]-code) | [i] | ||
| 5 | Linear OA(8111, 123, F8, 62) (dual of [123, 12, 63]-code) | [i] | ||
| 6 | Linear OA(8109, 120, F8, 62) (dual of [120, 11, 63]-code) | [i] | ||
| 7 | Linear OA(8107, 117, F8, 62) (dual of [117, 10, 63]-code) | [i] | ||
| 8 | Linear OA(894, 103, F8, 67) (dual of [103, 9, 68]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(832, 47, F8, 22) (dual of [47, 15, 23]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 10 | Linear OA(830, 47, F8, 20) (dual of [47, 17, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(834, 49, F8, 23) (dual of [49, 15, 24]-code) | [i] | ✔ | |
| 12 | Linear OOA(829, 22, F8, 2, 20) (dual of [(22, 2), 15, 21]-NRT-code) | [i] | OOA Folding | |