Information on Result #606813
Linear OA(96, 10, F9, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,9)), using extended Reed–Solomon code RSe(4,9)
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(940, 739, F9, 13) (dual of [739, 699, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(962, 59059, F9, 13) (dual of [59059, 58997, 14]-code) | [i] | ||
| 3 | Linear OA(973, 531451, F9, 13) (dual of [531451, 531378, 14]-code) | [i] | ||
| 4 | Linear OA(984, 4782979, F9, 13) (dual of [4782979, 4782895, 14]-code) | [i] | ||
| 5 | Linear OA(937, 739, F9, 12) (dual of [739, 702, 13]-code) | [i] | ||
| 6 | Linear OA(957, 59059, F9, 12) (dual of [59059, 59002, 13]-code) | [i] | ||
| 7 | Linear OA(967, 531451, F9, 12) (dual of [531451, 531384, 13]-code) | [i] | ||
| 8 | Linear OA(977, 4782979, F9, 12) (dual of [4782979, 4782902, 13]-code) | [i] | ||
| 9 | Linear OA(981, 90, F9, 62) (dual of [90, 9, 63]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(986, 96, F9, 62) (dual of [96, 10, 63]-code) | [i] | ||
| 11 | Linear OA(976, 90, F9, 53) (dual of [90, 14, 54]-code) | [i] | ||
| 12 | Linear OA(980, 95, F9, 53) (dual of [95, 15, 54]-code) | [i] | ||
| 13 | Linear OA(988, 92, F9, 78) (dual of [92, 4, 79]-code) | [i] | Juxtaposition | |
| 14 | Linear OA(997, 101, F9, 84) (dual of [101, 4, 85]-code) | [i] | ||
| 15 | Linear OA(998, 102, F9, 85) (dual of [102, 4, 86]-code) | [i] | ||
| 16 | Linear OA(9106, 110, F9, 90) (dual of [110, 4, 91]-code) | [i] | ||
| 17 | Linear OA(9107, 111, F9, 91) (dual of [111, 4, 92]-code) | [i] | ||
| 18 | Linear OA(9108, 112, F9, 92) (dual of [112, 4, 93]-code) | [i] | ||
| 19 | Linear OA(332, 40, F3, 20) (dual of [40, 8, 21]-code) | [i] | Concatenation of Two Codes | |
| 20 | Linear OOA(352, 30, F3, 2, 34) (dual of [(30, 2), 8, 35]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 21 | Linear OOA(372, 40, F3, 2, 48) (dual of [(40, 2), 8, 49]-NRT-code) | [i] | ||
| 22 | Linear OA(9102, 59070, F9, 20) (dual of [59070, 58968, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 23 | Linear OA(9136, 4782990, F9, 20) (dual of [4782990, 4782854, 21]-code) | [i] | ||
| 24 | Linear OA(996, 59070, F9, 19) (dual of [59070, 58974, 20]-code) | [i] | ||
| 25 | Linear OA(9128, 4782990, F9, 19) (dual of [4782990, 4782862, 20]-code) | [i] | ||
| 26 | Linear OA(966, 59069, F9, 13) (dual of [59069, 59003, 14]-code) | [i] | ||
| 27 | Linear OA(988, 4782989, F9, 13) (dual of [4782989, 4782901, 14]-code) | [i] | ||
| 28 | Linear OA(971, 90, F9, 50) (dual of [90, 19, 51]-code) | [i] | Construction X with Cyclic Codes | |
| 29 | Linear OA(970, 90, F9, 49) (dual of [90, 20, 50]-code) | [i] | ||
| 30 | Linear OA(979, 92, F9, 54) (dual of [92, 13, 55]-code) | [i] | ||
| 31 | Linear OA(963, 92, F9, 38) (dual of [92, 29, 39]-code) | [i] | ||
| 32 | Linear OA(946, 51, F9, 37) (dual of [51, 5, 38]-code) | [i] | ||
| 33 | Linear OA(971, 91, F9, 50) (dual of [91, 20, 51]-code) | [i] | Construction XX with Cyclic Codes | |
| 34 | Linear OA(987, 118, F9, 49) (dual of [118, 31, 50]-code) | [i] | ||
| 35 | Linear OA(966, 94, F9, 42) (dual of [94, 28, 43]-code) | [i] | ||
| 36 | Linear OA(965, 92, F9, 42) (dual of [92, 27, 43]-code) | [i] | ||
| 37 | Linear OA(968, 95, F9, 43) (dual of [95, 27, 44]-code) | [i] | ||
| 38 | Linear OA(971, 98, F9, 44) (dual of [98, 27, 45]-code) | [i] | ||
| 39 | Linear OA(980, 109, F9, 49) (dual of [109, 29, 50]-code) | [i] | ||
| 40 | Linear OA(984, 113, F9, 50) (dual of [113, 29, 51]-code) | [i] | ||
| 41 | Linear OA(987, 116, F9, 51) (dual of [116, 29, 52]-code) | [i] | ||
| 42 | Linear OA(991, 120, F9, 52) (dual of [120, 29, 53]-code) | [i] | ||
| 43 | Linear OA(990, 118, F9, 52) (dual of [118, 28, 53]-code) | [i] | ||
| 44 | Linear OA(979, 107, F9, 49) (dual of [107, 28, 50]-code) | [i] | ||
| 45 | Linear OA(982, 110, F9, 50) (dual of [110, 28, 51]-code) | [i] | ||
| 46 | Linear OA(981, 109, F9, 50) (dual of [109, 28, 51]-code) | [i] | ||
| 47 | Linear OA(986, 114, F9, 51) (dual of [114, 28, 52]-code) | [i] | ||
| 48 | Linear OA(989, 117, F9, 52) (dual of [117, 28, 53]-code) | [i] | ||
| 49 | Linear OA(983, 110, F9, 51) (dual of [110, 27, 52]-code) | [i] | ||
| 50 | Linear OA(991, 118, F9, 53) (dual of [118, 27, 54]-code) | [i] | ||
| 51 | Linear OA(974, 100, F9, 46) (dual of [100, 26, 47]-code) | [i] | ||
| 52 | Linear OA(987, 107, F9, 58) (dual of [107, 20, 59]-code) | [i] | ||
| 53 | Linear OA(986, 105, F9, 58) (dual of [105, 19, 59]-code) | [i] | ||
| 54 | Linear OA(981, 100, F9, 54) (dual of [100, 19, 55]-code) | [i] | ||
| 55 | Linear OA(982, 100, F9, 55) (dual of [100, 18, 56]-code) | [i] | ||
| 56 | Linear OA(983, 100, F9, 56) (dual of [100, 17, 57]-code) | [i] | ||
| 57 | Linear OA(983, 100, F9, 56) (dual of [100, 17, 57]-code) | [i] | ||
| 58 | Linear OA(999, 118, F9, 63) (dual of [118, 19, 64]-code) | [i] | ||
| 59 | Linear OA(9100, 118, F9, 64) (dual of [118, 18, 65]-code) | [i] | ||
| 60 | Linear OA(9101, 118, F9, 65) (dual of [118, 17, 66]-code) | [i] | ||
| 61 | Linear OA(983, 100, F9, 57) (dual of [100, 17, 58]-code) | [i] | ||
| 62 | Linear OA(983, 100, F9, 57) (dual of [100, 17, 58]-code) | [i] | ||
| 63 | Linear OA(9101, 118, F9, 66) (dual of [118, 17, 67]-code) | [i] | ||
| 64 | Linear OA(992, 105, F9, 66) (dual of [105, 13, 67]-code) | [i] | ||
| 65 | Linear OA(992, 105, F9, 67) (dual of [105, 13, 68]-code) | [i] | ||
| 66 | Linear OA(987, 100, F9, 63) (dual of [100, 13, 64]-code) | [i] | ||
| 67 | Linear OA(988, 100, F9, 64) (dual of [100, 12, 65]-code) | [i] | ||
| 68 | Linear OA(988, 100, F9, 64) (dual of [100, 12, 65]-code) | [i] | ||
| 69 | Linear OA(989, 100, F9, 65) (dual of [100, 11, 66]-code) | [i] | ||
| 70 | Linear OA(989, 99, F9, 66) (dual of [99, 10, 67]-code) | [i] | ||
| 71 | Linear OA(9105, 118, F9, 73) (dual of [118, 13, 74]-code) | [i] | ||
| 72 | Linear OA(991, 103, F9, 67) (dual of [103, 12, 68]-code) | [i] | ||
| 73 | Linear OA(988, 100, F9, 65) (dual of [100, 12, 66]-code) | [i] | ||
| 74 | Linear OA(988, 100, F9, 65) (dual of [100, 12, 66]-code) | [i] | ||
| 75 | Linear OA(989, 100, F9, 66) (dual of [100, 11, 67]-code) | [i] | ||
| 76 | Linear OA(990, 100, F9, 67) (dual of [100, 10, 68]-code) | [i] | ||
| 77 | Linear OA(989, 99, F9, 67) (dual of [99, 10, 68]-code) | [i] | ||
| 78 | Linear OA(996, 104, F9, 76) (dual of [104, 8, 77]-code) | [i] | ||
| 79 | Linear OA(992, 100, F9, 73) (dual of [100, 8, 74]-code) | [i] | ||
| 80 | Linear OA(992, 100, F9, 73) (dual of [100, 8, 74]-code) | [i] | ||
| 81 | Linear OA(997, 105, F9, 77) (dual of [105, 8, 78]-code) | [i] | ||
| 82 | Linear OA(9118, 377, F9, 47) (dual of [377, 259, 48]-code) | [i] | ||
| 83 | Linear OA(9119, 379, F9, 47) (dual of [379, 260, 48]-code) | [i] | ||
| 84 | Linear OA(973, 91, F9, 51) (dual of [91, 18, 52]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 85 | Linear OA(971, 102, F9, 39) (dual of [102, 31, 40]-code) | [i] | ||
| 86 | Linear OA(9118, 375, F9, 47) (dual of [375, 257, 48]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 87 | Linear OA(9115, 375, F9, 46) (dual of [375, 260, 47]-code) | [i] | ||
| 88 | Linear OA(983, 91, F9, 68) (dual of [91, 8, 69]-code) | [i] | ||
| 89 | Linear OA(978, 91, F9, 59) (dual of [91, 13, 60]-code) | [i] | ||
| 90 | Linear OA(965, 91, F9, 42) (dual of [91, 26, 43]-code) | [i] | ||
| 91 | Linear OA(963, 91, F9, 41) (dual of [91, 28, 42]-code) | [i] | ||
| 92 | Linear OA(9106, 119, F9, 73) (dual of [119, 13, 74]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 93 | Linear OA(999, 118, F9, 62) (dual of [118, 19, 63]-code) | [i] | ||
| 94 | Linear OA(999, 119, F9, 62) (dual of [119, 20, 63]-code) | [i] | ||
| 95 | Linear OA(973, 92, F9, 51) (dual of [92, 19, 52]-code) | [i] | ||
| 96 | Linear OA(988, 116, F9, 51) (dual of [116, 28, 52]-code) | [i] | ||
| 97 | Linear OA(947, 52, F9, 38) (dual of [52, 5, 39]-code) | [i] | ||