Information on Result #657133
Linear OA(921, 35, F9, 15) (dual of [35, 14, 16]-code), using construction X applied to AG(F,8P) ⊂ AG(F,9P) based on
- linear OA(920, 32, F9, 15) (dual of [32, 12, 16]-code), using algebraic-geometric code AG(F,8P) with degP = 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
- linear OA(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 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(9103, 764, F9, 31) (dual of [764, 661, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9100, 764, F9, 30) (dual of [764, 664, 31]-code) | [i] | ||
| 3 | Linear OA(994, 117, F9, 57) (dual of [117, 23, 58]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(978, 117, F9, 41) (dual of [117, 39, 42]-code) | [i] | ||
| 5 | Linear OA(985, 115, F9, 49) (dual of [115, 30, 50]-code) | [i] | ||
| 6 | Linear OA(992, 115, F9, 57) (dual of [115, 23, 58]-code) | [i] | ||
| 7 | Linear OA(997, 120, F9, 59) (dual of [120, 23, 60]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 8 | Linear OA(993, 116, F9, 57) (dual of [116, 23, 58]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 9 | Linear OA(986, 116, F9, 49) (dual of [116, 30, 50]-code) | [i] | ||
| 10 | Linear OA(994, 117, F9, 58) (dual of [117, 23, 59]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(987, 117, F9, 50) (dual of [117, 30, 51]-code) | [i] | ||