Information on Result #657132
Linear OA(920, 32, F9, 15) (dual of [32, 12, 16]-code), using algebraic-geometric code AG(F,8P) with degP = 2 based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9102, 761, F9, 31) (dual of [761, 659, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(999, 761, F9, 30) (dual of [761, 662, 31]-code) | [i] | ||
| 3 | Linear OA(372, 96, F3, 31) (dual of [96, 24, 32]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(3104, 128, F3, 47) (dual of [128, 24, 48]-code) | [i] | ||
| 5 | Linear OA(923, 35, F9, 17) (dual of [35, 12, 18]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 6 | Linear OA(921, 35, F9, 15) (dual of [35, 14, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(993, 114, F9, 59) (dual of [114, 21, 60]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(9107, 128, F9, 66) (dual of [128, 21, 67]-code) | [i] | Construction XX with Cyclic Codes | |
| 9 | Linear OA(9113, 129, F9, 75) (dual of [129, 16, 76]-code) | [i] | ||
| 10 | Linear OA(997, 113, F9, 66) (dual of [113, 16, 67]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(986, 113, F9, 51) (dual of [113, 27, 52]-code) | [i] | ||
| 12 | Linear OA(985, 113, F9, 50) (dual of [113, 28, 51]-code) | [i] | ||
| 13 | Linear OA(998, 114, F9, 67) (dual of [114, 16, 68]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 14 | Linear OOA(920, 16, F9, 2, 15) (dual of [(16, 2), 12, 16]-NRT-code) | [i] | OOA Folding | |