Information on Result #606814
Linear OA(97, 10, F9, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using extended Reed–Solomon code RSe(3,9)
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(947, 739, F9, 15) (dual of [739, 692, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(965, 13134, F9, 15) (dual of [13134, 13069, 16]-code) | [i] | ||
| 3 | Linear OA(973, 59059, F9, 15) (dual of [59059, 58986, 16]-code) | [i] | ||
| 4 | Linear OA(999, 4782979, F9, 15) (dual of [4782979, 4782880, 16]-code) | [i] | ||
| 5 | Linear OA(944, 739, F9, 14) (dual of [739, 695, 15]-code) | [i] | ||
| 6 | Linear OA(968, 59059, F9, 14) (dual of [59059, 58991, 15]-code) | [i] | ||
| 7 | Linear OA(992, 4782979, F9, 14) (dual of [4782979, 4782887, 15]-code) | [i] | ||
| 8 | Linear OA(981, 90, F9, 62) (dual of [90, 9, 63]-code) | [i] | Generalized (u, u+v)-Construction | |
| 9 | Linear OA(986, 96, F9, 62) (dual of [96, 10, 63]-code) | [i] | ||
| 10 | Linear OA(976, 90, F9, 53) (dual of [90, 14, 54]-code) | [i] | ||
| 11 | Linear OA(980, 95, F9, 53) (dual of [95, 15, 54]-code) | [i] | ||
| 12 | Linear OOA(354, 30, F3, 2, 39) (dual of [(30, 2), 6, 40]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 13 | Linear OOA(374, 40, F3, 2, 55) (dual of [(40, 2), 6, 56]-NRT-code) | [i] | ||
| 14 | Linear OA(9118, 59070, F9, 23) (dual of [59070, 58952, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(9119, 59072, F9, 23) (dual of [59072, 58953, 24]-code) | [i] | ||
| 16 | Linear OA(9120, 59076, F9, 23) (dual of [59076, 58956, 24]-code) | [i] | ||
| 17 | Linear OA(9113, 59069, F9, 22) (dual of [59069, 58956, 23]-code) | [i] | ||
| 18 | Linear OA(9114, 59071, F9, 22) (dual of [59071, 58957, 23]-code) | [i] | ||
| 19 | Linear OA(9108, 59071, F9, 21) (dual of [59071, 58963, 22]-code) | [i] | ||
| 20 | Linear OA(9144, 4782991, F9, 21) (dual of [4782991, 4782847, 22]-code) | [i] | ||
| 21 | Linear OA(978, 59069, F9, 15) (dual of [59069, 58991, 16]-code) | [i] | ||
| 22 | Linear OA(9104, 4782989, F9, 15) (dual of [4782989, 4782885, 16]-code) | [i] | ||
| 23 | Linear OA(972, 59069, F9, 14) (dual of [59069, 58997, 15]-code) | [i] | ||
| 24 | Linear OA(996, 4782989, F9, 14) (dual of [4782989, 4782893, 15]-code) | [i] | ||
| 25 | Linear OA(986, 101, F9, 58) (dual of [101, 15, 59]-code) | [i] | Construction X with Cyclic Codes | |
| 26 | Linear OA(971, 101, F9, 40) (dual of [101, 30, 41]-code) | [i] | ||
| 27 | Linear OA(964, 92, F9, 39) (dual of [92, 28, 40]-code) | [i] | ||
| 28 | Linear OA(990, 107, F9, 61) (dual of [107, 17, 62]-code) | [i] | Construction XX with Cyclic Codes | |
| 29 | Linear OA(983, 94, F9, 62) (dual of [94, 11, 63]-code) | [i] | ||
| 30 | Linear OA(982, 92, F9, 62) (dual of [92, 10, 63]-code) | [i] | ||
| 31 | Linear OA(989, 100, F9, 65) (dual of [100, 11, 66]-code) | [i] | ||
| 32 | Linear OA(994, 106, F9, 69) (dual of [106, 12, 70]-code) | [i] | ||
| 33 | Linear OA(989, 100, F9, 66) (dual of [100, 11, 67]-code) | [i] | ||
| 34 | Linear OA(996, 103, F9, 77) (dual of [103, 7, 78]-code) | [i] | ||
| 35 | Linear OA(993, 100, F9, 75) (dual of [100, 7, 76]-code) | [i] | ||
| 36 | Linear OA(993, 100, F9, 75) (dual of [100, 7, 76]-code) | [i] | ||
| 37 | Linear OA(997, 104, F9, 78) (dual of [104, 7, 79]-code) | [i] | ||
| 38 | Linear OA(980, 91, F9, 61) (dual of [91, 11, 62]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 39 | Linear OA(995, 101, F9, 79) (dual of [101, 6, 80]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 40 | Linear OA(988, 92, F9, 79) (dual of [92, 4, 80]-code) | [i] | Construction X with Ovoid | |