Information on Result #606812
Linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), using extended Reed–Solomon code RSe(5,9)
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(933, 739, F9, 11) (dual of [739, 706, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(951, 59059, F9, 11) (dual of [59059, 59008, 12]-code) | [i] | ||
| 3 | Linear OA(960, 531451, F9, 11) (dual of [531451, 531391, 12]-code) | [i] | ||
| 4 | Linear OA(969, 4782979, F9, 11) (dual of [4782979, 4782910, 12]-code) | [i] | ||
| 5 | Linear OA(930, 739, F9, 10) (dual of [739, 709, 11]-code) | [i] | ||
| 6 | Linear OA(946, 59059, F9, 10) (dual of [59059, 59013, 11]-code) | [i] | ||
| 7 | Linear OA(954, 531451, F9, 10) (dual of [531451, 531397, 11]-code) | [i] | ||
| 8 | Linear OA(962, 4782979, F9, 10) (dual of [4782979, 4782917, 11]-code) | [i] | ||
| 9 | Linear OA(976, 90, F9, 53) (dual of [90, 14, 54]-code) | [i] | Generalized (u, u+v)-Construction | |
| 10 | Linear OA(980, 95, F9, 53) (dual of [95, 15, 54]-code) | [i] | ||
| 11 | Linear OA(9106, 111, F9, 86) (dual of [111, 5, 87]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(9137, 142, F9, 115) (dual of [142, 5, 116]-code) | [i] | ||
| 13 | Linear OA(9132, 137, F9, 112) (dual of [137, 5, 113]-code) | [i] | ||
| 14 | Linear OA(9135, 140, F9, 114) (dual of [140, 5, 115]-code) | [i] | ||
| 15 | Linear OA(320, 30, F3, 11) (dual of [30, 10, 12]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(931, 37, F9, 24) (dual of [37, 6, 25]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 17 | Linear OA(930, 37, F9, 23) (dual of [37, 7, 24]-code) | [i] | ||
| 18 | Linear OA(929, 37, F9, 22) (dual of [37, 8, 23]-code) | [i] | ||
| 19 | Linear OA(932, 38, F9, 25) (dual of [38, 6, 26]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 20 | Linear OA(959, 749, F9, 17) (dual of [749, 690, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(989, 59069, F9, 17) (dual of [59069, 58980, 18]-code) | [i] | ||
| 22 | Linear OA(990, 59078, F9, 17) (dual of [59078, 58988, 18]-code) | [i] | ||
| 23 | Linear OA(9119, 4782989, F9, 17) (dual of [4782989, 4782870, 18]-code) | [i] | ||
| 24 | Linear OA(9120, 4782998, F9, 17) (dual of [4782998, 4782878, 18]-code) | [i] | ||
| 25 | Linear OA(984, 59069, F9, 16) (dual of [59069, 58985, 17]-code) | [i] | ||
| 26 | Linear OA(9112, 4782989, F9, 16) (dual of [4782989, 4782877, 17]-code) | [i] | ||
| 27 | Linear OA(978, 59069, F9, 15) (dual of [59069, 58991, 16]-code) | [i] | ||
| 28 | Linear OA(9104, 4782989, F9, 15) (dual of [4782989, 4782885, 16]-code) | [i] | ||
| 29 | Linear OA(954, 59069, F9, 11) (dual of [59069, 59015, 12]-code) | [i] | ||
| 30 | Linear OA(972, 4782989, F9, 11) (dual of [4782989, 4782917, 12]-code) | [i] | ||
| 31 | Linear OA(970, 90, F9, 48) (dual of [90, 20, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 32 | Linear OA(959, 109, F9, 30) (dual of [109, 50, 31]-code) | [i] | Construction XX with Cyclic Codes | |
| 33 | Linear OA(958, 108, F9, 30) (dual of [108, 50, 31]-code) | [i] | ||
| 34 | Linear OA(954, 94, F9, 32) (dual of [94, 40, 33]-code) | [i] | ||
| 35 | Linear OA(953, 92, F9, 32) (dual of [92, 39, 33]-code) | [i] | ||
| 36 | Linear OA(956, 94, F9, 33) (dual of [94, 38, 34]-code) | [i] | ||
| 37 | Linear OA(955, 92, F9, 33) (dual of [92, 37, 34]-code) | [i] | ||
| 38 | Linear OA(957, 97, F9, 33) (dual of [97, 40, 34]-code) | [i] | ||
| 39 | Linear OA(956, 95, F9, 33) (dual of [95, 39, 34]-code) | [i] | ||
| 40 | Linear OA(959, 97, F9, 34) (dual of [97, 38, 35]-code) | [i] | ||
| 41 | Linear OA(958, 95, F9, 34) (dual of [95, 37, 35]-code) | [i] | ||
| 42 | Linear OA(960, 100, F9, 34) (dual of [100, 40, 35]-code) | [i] | ||
| 43 | Linear OA(959, 98, F9, 34) (dual of [98, 39, 35]-code) | [i] | ||
| 44 | Linear OA(975, 116, F9, 40) (dual of [116, 41, 41]-code) | [i] | ||
| 45 | Linear OA(962, 100, F9, 35) (dual of [100, 38, 36]-code) | [i] | ||
| 46 | Linear OA(961, 98, F9, 35) (dual of [98, 37, 36]-code) | [i] | ||
| 47 | Linear OA(980, 110, F9, 48) (dual of [110, 30, 49]-code) | [i] | ||
| 48 | Linear OA(987, 108, F9, 57) (dual of [108, 21, 58]-code) | [i] | ||
| 49 | Linear OA(982, 100, F9, 55) (dual of [100, 18, 56]-code) | [i] | ||
| 50 | Linear OA(991, 105, F9, 65) (dual of [105, 14, 66]-code) | [i] | ||
| 51 | Linear OA(992, 106, F9, 66) (dual of [106, 14, 67]-code) | [i] | ||
| 52 | Linear OA(987, 100, F9, 63) (dual of [100, 13, 64]-code) | [i] | ||
| 53 | Linear OA(988, 99, F9, 65) (dual of [99, 11, 66]-code) | [i] | ||
| 54 | Linear OA(996, 105, F9, 75) (dual of [105, 9, 76]-code) | [i] | ||
| 55 | Linear OA(971, 91, F9, 49) (dual of [91, 20, 50]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 56 | Linear OA(970, 91, F9, 48) (dual of [91, 21, 49]-code) | [i] | ||
| 57 | Linear OA(964, 94, F9, 37) (dual of [94, 30, 38]-code) | [i] | ||
| 58 | Linear OA(940, 94, F9, 21) (dual of [94, 54, 22]-code) | [i] | ||
| 59 | Linear OA(9114, 375, F9, 45) (dual of [375, 261, 46]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 60 | Linear OA(982, 91, F9, 66) (dual of [91, 9, 67]-code) | [i] | ||
| 61 | Linear OA(977, 91, F9, 57) (dual of [91, 14, 58]-code) | [i] | ||
| 62 | Linear OA(961, 91, F9, 39) (dual of [91, 30, 40]-code) | [i] | ||
| 63 | Linear OA(953, 91, F9, 32) (dual of [91, 38, 33]-code) | [i] | ||
| 64 | Linear OA(951, 91, F9, 31) (dual of [91, 40, 32]-code) | [i] | ||
| 65 | Linear OA(950, 91, F9, 30) (dual of [91, 41, 31]-code) | [i] | ||
| 66 | Linear OA(9106, 119, F9, 72) (dual of [119, 13, 73]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 67 | Linear OA(9104, 118, F9, 71) (dual of [118, 14, 72]-code) | [i] | ||
| 68 | Linear OA(983, 92, F9, 67) (dual of [92, 9, 68]-code) | [i] | ||
| 69 | Linear OA(978, 92, F9, 58) (dual of [92, 14, 59]-code) | [i] | ||
| 70 | Linear OA(989, 118, F9, 51) (dual of [118, 29, 52]-code) | [i] | ||
| 71 | Linear OA(971, 92, F9, 49) (dual of [92, 21, 50]-code) | [i] | ||
| 72 | Linear OA(988, 118, F9, 50) (dual of [118, 30, 51]-code) | [i] | ||
| 73 | Linear OA(979, 119, F9, 41) (dual of [119, 40, 42]-code) | [i] | ||
| 74 | Linear OA(962, 92, F9, 40) (dual of [92, 30, 41]-code) | [i] | ||
| 75 | Linear OA(978, 119, F9, 40) (dual of [119, 41, 41]-code) | [i] | ||