Information on Result #606811
Linear OA(94, 10, F9, 4) (dual of [10, 6, 5]-code or 10-arc in PG(3,9)), using extended Reed–Solomon code RSe(6,9)
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(928, 738, F9, 9) (dual of [738, 710, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(938, 13134, F9, 9) (dual of [13134, 13096, 10]-code) | [i] | ||
| 3 | Linear OA(944, 59058, F9, 9) (dual of [59058, 59014, 10]-code) | [i] | ||
| 4 | Linear OA(954, 1062894, F9, 9) (dual of [1062894, 1062840, 10]-code) | [i] | ||
| 5 | Linear OA(960, 4782978, F9, 9) (dual of [4782978, 4782918, 10]-code) | [i] | ||
| 6 | Linear OA(926, 739, F9, 8) (dual of [739, 713, 9]-code) | [i] | ||
| 7 | Linear OA(934, 13132, F9, 8) (dual of [13132, 13098, 9]-code) | [i] | ||
| 8 | Linear OA(940, 59059, F9, 8) (dual of [59059, 59019, 9]-code) | [i] | ||
| 9 | Linear OA(948, 1062892, F9, 8) (dual of [1062892, 1062844, 9]-code) | [i] | ||
| 10 | Linear OA(954, 4782979, F9, 8) (dual of [4782979, 4782925, 9]-code) | [i] | ||
| 11 | Linear OA(9105, 111, F9, 84) (dual of [111, 6, 85]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(9107, 113, F9, 85) (dual of [113, 6, 86]-code) | [i] | ||
| 13 | Linear OA(9126, 132, F9, 102) (dual of [132, 6, 103]-code) | [i] | ||
| 14 | Linear OA(9132, 138, F9, 108) (dual of [138, 6, 109]-code) | [i] | ||
| 15 | Linear OA(9133, 139, F9, 109) (dual of [139, 6, 110]-code) | [i] | ||
| 16 | Linear OA(934, 44, F9, 23) (dual of [44, 10, 24]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 17 | Linear OA(933, 44, F9, 22) (dual of [44, 11, 23]-code) | [i] | ||
| 18 | Linear OA(930, 44, F9, 19) (dual of [44, 14, 20]-code) | [i] | ||
| 19 | Linear OA(929, 44, F9, 18) (dual of [44, 15, 19]-code) | [i] | ||
| 20 | Linear OA(928, 44, F9, 17) (dual of [44, 16, 18]-code) | [i] | ||
| 21 | Linear OA(935, 46, F9, 23) (dual of [46, 11, 24]-code) | [i] | ||
| 22 | Linear OA(934, 46, F9, 22) (dual of [46, 12, 23]-code) | [i] | ||
| 23 | Linear OA(958, 84, F9, 36) (dual of [84, 26, 37]-code) | [i] | ||
| 24 | Linear OA(968, 94, F9, 44) (dual of [94, 26, 45]-code) | [i] | ||
| 25 | Linear OA(967, 94, F9, 43) (dual of [94, 27, 44]-code) | [i] | ||
| 26 | Linear OA(972, 59069, F9, 14) (dual of [59069, 58997, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 27 | Linear OA(996, 4782989, F9, 14) (dual of [4782989, 4782893, 15]-code) | [i] | ||
| 28 | Linear OA(966, 59069, F9, 13) (dual of [59069, 59003, 14]-code) | [i] | ||
| 29 | Linear OA(988, 4782989, F9, 13) (dual of [4782989, 4782901, 14]-code) | [i] | ||
| 30 | Linear OA(947, 59068, F9, 9) (dual of [59068, 59021, 10]-code) | [i] | ||
| 31 | Linear OA(963, 4782988, F9, 9) (dual of [4782988, 4782925, 10]-code) | [i] | ||
| 32 | Linear OA(942, 59069, F9, 8) (dual of [59069, 59027, 9]-code) | [i] | ||
| 33 | Linear OA(956, 4782989, F9, 8) (dual of [4782989, 4782933, 9]-code) | [i] | ||
| 34 | Linear OA(969, 90, F9, 47) (dual of [90, 21, 48]-code) | [i] | Construction X with Cyclic Codes | |
| 35 | Linear OA(968, 90, F9, 46) (dual of [90, 22, 47]-code) | [i] | ||
| 36 | Linear OA(959, 101, F9, 30) (dual of [101, 42, 31]-code) | [i] | ||
| 37 | Linear OA(969, 91, F9, 47) (dual of [91, 22, 48]-code) | [i] | Construction XX with Cyclic Codes | |
| 38 | Linear OA(969, 110, F9, 37) (dual of [110, 41, 38]-code) | [i] | ||
| 39 | Linear OA(968, 109, F9, 37) (dual of [109, 41, 38]-code) | [i] | ||
| 40 | Linear OA(978, 109, F9, 46) (dual of [109, 31, 47]-code) | [i] | ||
| 41 | Linear OA(977, 107, F9, 46) (dual of [107, 30, 47]-code) | [i] | ||
| 42 | Linear OA(974, 100, F9, 46) (dual of [100, 26, 47]-code) | [i] | ||
| 43 | Linear OA(985, 107, F9, 55) (dual of [107, 22, 56]-code) | [i] | ||
| 44 | Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) | [i] | ||
| 45 | Linear OA(981, 100, F9, 54) (dual of [100, 19, 55]-code) | [i] | ||
| 46 | Linear OA(981, 98, F9, 55) (dual of [98, 17, 56]-code) | [i] | ||
| 47 | Linear OA(991, 106, F9, 64) (dual of [106, 15, 65]-code) | [i] | ||
| 48 | Linear OA(992, 107, F9, 65) (dual of [107, 15, 66]-code) | [i] | ||
| 49 | Linear OA(9114, 834, F9, 33) (dual of [834, 720, 34]-code) | [i] | ||
| 50 | Linear OA(9118, 834, F9, 34) (dual of [834, 716, 35]-code) | [i] | ||
| 51 | Linear OA(9113, 375, F9, 44) (dual of [375, 262, 45]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 52 | Linear OA(976, 91, F9, 56) (dual of [91, 15, 57]-code) | [i] | ||
| 53 | Linear OA(960, 91, F9, 38) (dual of [91, 31, 39]-code) | [i] | ||
| 54 | Linear OA(949, 91, F9, 29) (dual of [91, 42, 30]-code) | [i] | ||
| 55 | Linear OA(936, 91, F9, 20) (dual of [91, 55, 21]-code) | [i] | ||
| 56 | Linear OA(990, 100, F9, 66) (dual of [100, 10, 67]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 57 | Linear OA(988, 98, F9, 65) (dual of [98, 10, 66]-code) | [i] | ||
| 58 | Linear OA(940, 92, F9, 22) (dual of [92, 52, 23]-code) | [i] | ||
| 59 | Linear OA(938, 92, F9, 21) (dual of [92, 54, 22]-code) | [i] | ||