Information on Result #609938
Linear OA(978, 82, F9, 71) (dual of [82, 4, 72]-code), using projective code from ovoid in PG(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(978, 82, F9, 70) (dual of [82, 4, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(978, 82, F9, 69) (dual of [82, 4, 70]-code) | [i] | ||
| 3 | Linear OA(978, 82, F9, 68) (dual of [82, 4, 69]-code) | [i] | ||
| 4 | Linear OA(978, 82, F9, 67) (dual of [82, 4, 68]-code) | [i] | ||
| 5 | Linear OA(979, 83, F9, 71) (dual of [83, 4, 72]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(977, 81, F9, 70) (dual of [81, 4, 71]-code) | [i] | Truncation | |
| 7 | Linear OA(975, 79, F9, 68) (dual of [79, 4, 69]-code) | [i] | ||
| 8 | Linear OA(974, 78, F9, 67) (dual of [78, 4, 68]-code) | [i] | ||
| 9 | Linear OA(973, 77, F9, 66) (dual of [77, 4, 67]-code) | [i] | ||
| 10 | Linear OA(972, 76, F9, 65) (dual of [76, 4, 66]-code) | [i] | ||
| 11 | Linear OA(971, 75, F9, 64) (dual of [75, 4, 65]-code) | [i] | ||
| 12 | Linear OA(970, 74, F9, 63) (dual of [74, 4, 64]-code) | [i] | ||
| 13 | Linear OA(969, 73, F9, 62) (dual of [73, 4, 63]-code) | [i] | ||
| 14 | Linear OA(968, 72, F9, 61) (dual of [72, 4, 62]-code) | [i] | ||
| 15 | Linear OA(967, 71, F9, 60) (dual of [71, 4, 61]-code) | [i] | ||
| 16 | Linear OA(966, 70, F9, 59) (dual of [70, 4, 60]-code) | [i] | ||
| 17 | Linear OA(965, 69, F9, 58) (dual of [69, 4, 59]-code) | [i] | ||
| 18 | Linear OA(964, 68, F9, 57) (dual of [68, 4, 58]-code) | [i] | ||
| 19 | Linear OA(963, 67, F9, 56) (dual of [67, 4, 57]-code) | [i] | ||
| 20 | Linear OA(962, 66, F9, 55) (dual of [66, 4, 56]-code) | [i] | ||
| 21 | Linear OA(961, 65, F9, 54) (dual of [65, 4, 55]-code) | [i] | ||
| 22 | Linear OA(960, 64, F9, 53) (dual of [64, 4, 54]-code) | [i] | ||
| 23 | Linear OA(959, 63, F9, 52) (dual of [63, 4, 53]-code) | [i] | ||
| 24 | Linear OA(958, 62, F9, 51) (dual of [62, 4, 52]-code) | [i] | ||
| 25 | Linear OA(957, 61, F9, 50) (dual of [61, 4, 51]-code) | [i] | ||
| 26 | Linear OA(956, 60, F9, 49) (dual of [60, 4, 50]-code) | [i] | ||
| 27 | Linear OA(955, 59, F9, 48) (dual of [59, 4, 49]-code) | [i] | ||
| 28 | Linear OA(954, 58, F9, 47) (dual of [58, 4, 48]-code) | [i] | ||
| 29 | Linear OA(953, 57, F9, 46) (dual of [57, 4, 47]-code) | [i] | ||
| 30 | Linear OA(952, 56, F9, 45) (dual of [56, 4, 46]-code) | [i] | ||
| 31 | Linear OA(982, 86, F9, 72) (dual of [86, 4, 73]-code) | [i] | Juxtaposition | |
| 32 | Linear OA(983, 87, F9, 73) (dual of [87, 4, 74]-code) | [i] | ||
| 33 | Linear OA(984, 88, F9, 74) (dual of [88, 4, 75]-code) | [i] | ||
| 34 | Linear OA(985, 89, F9, 75) (dual of [89, 4, 76]-code) | [i] | ||
| 35 | Linear OA(986, 90, F9, 76) (dual of [90, 4, 77]-code) | [i] | ||
| 36 | Linear OA(987, 91, F9, 77) (dual of [91, 4, 78]-code) | [i] | ||
| 37 | Linear OA(988, 92, F9, 78) (dual of [92, 4, 79]-code) | [i] | ||
| 38 | Linear OA(990, 94, F9, 79) (dual of [94, 4, 80]-code) | [i] | ||
| 39 | Linear OA(991, 95, F9, 80) (dual of [95, 4, 81]-code) | [i] | ||
| 40 | Linear OA(992, 96, F9, 81) (dual of [96, 4, 82]-code) | [i] | ||
| 41 | Linear OA(993, 97, F9, 82) (dual of [97, 4, 83]-code) | [i] | ||
| 42 | Linear OA(994, 98, F9, 83) (dual of [98, 4, 84]-code) | [i] | ||
| 43 | Linear OA(996, 100, F9, 84) (dual of [100, 4, 85]-code) | [i] | ||
| 44 | Linear OA(997, 101, F9, 85) (dual of [101, 4, 86]-code) | [i] | ||
| 45 | Linear OA(998, 102, F9, 86) (dual of [102, 4, 87]-code) | [i] | ||
| 46 | Linear OA(9100, 104, F9, 87) (dual of [104, 4, 88]-code) | [i] | ||
| 47 | Linear OA(9101, 105, F9, 88) (dual of [105, 4, 89]-code) | [i] | ||
| 48 | Linear OA(9102, 106, F9, 89) (dual of [106, 4, 90]-code) | [i] | ||
| 49 | Linear OA(9103, 107, F9, 90) (dual of [107, 4, 91]-code) | [i] | ||
| 50 | Linear OA(9104, 108, F9, 91) (dual of [108, 4, 92]-code) | [i] | ||
| 51 | Linear OA(9105, 109, F9, 92) (dual of [109, 4, 93]-code) | [i] | ||
| 52 | Linear OA(9106, 110, F9, 93) (dual of [110, 4, 94]-code) | [i] | ||
| 53 | Linear OA(9108, 112, F9, 94) (dual of [112, 4, 95]-code) | [i] | ||
| 54 | Linear OA(9117, 121, F9, 101) (dual of [121, 4, 102]-code) | [i] | ||
| 55 | Linear OA(9118, 122, F9, 102) (dual of [122, 4, 103]-code) | [i] | ||
| 56 | Linear OA(9119, 123, F9, 103) (dual of [123, 4, 104]-code) | [i] | ||
| 57 | Linear OA(9107, 111, F9, 94) (dual of [111, 4, 95]-code) | [i] | ||
| 58 | Linear OA(9109, 113, F9, 95) (dual of [113, 4, 96]-code) | [i] | ||
| 59 | Linear OA(9102, 106, F9, 90) (dual of [106, 4, 91]-code) | [i] | ||
| 60 | Linear OA(9108, 112, F9, 95) (dual of [112, 4, 96]-code) | [i] | ||
| 61 | Linear OA(9109, 113, F9, 96) (dual of [113, 4, 97]-code) | [i] | ||
| 62 | Linear OA(9110, 114, F9, 97) (dual of [114, 4, 98]-code) | [i] | ||
| 63 | Linear OA(9116, 120, F9, 102) (dual of [120, 4, 103]-code) | [i] | ||
| 64 | Linear OA(9117, 121, F9, 103) (dual of [121, 4, 104]-code) | [i] | ||
| 65 | Linear OA(9118, 122, F9, 104) (dual of [122, 4, 105]-code) | [i] | ||
| 66 | Linear OA(9123, 127, F9, 108) (dual of [127, 4, 109]-code) | [i] | ||
| 67 | Linear OA(9129, 133, F9, 113) (dual of [133, 4, 114]-code) | [i] | ||
| 68 | Linear OA(9130, 134, F9, 114) (dual of [134, 4, 115]-code) | [i] | ||
| 69 | Linear OA(9131, 135, F9, 115) (dual of [135, 4, 116]-code) | [i] | ||
| 70 | Linear OA(9132, 136, F9, 116) (dual of [136, 4, 117]-code) | [i] | ||
| 71 | Linear OA(9133, 137, F9, 117) (dual of [137, 4, 118]-code) | [i] | ||
| 72 | Linear OA(9119, 123, F9, 105) (dual of [123, 4, 106]-code) | [i] | ||
| 73 | Linear OA(9134, 138, F9, 118) (dual of [138, 4, 119]-code) | [i] | ||
| 74 | Linear OA(9135, 139, F9, 119) (dual of [139, 4, 120]-code) | [i] | ||
| 75 | Linear OA(9136, 140, F9, 120) (dual of [140, 4, 121]-code) | [i] | ||
| 76 | Linear OA(982, 86, F9, 73) (dual of [86, 4, 74]-code) | [i] | ✔ | Construction X with Ovoid |
| 77 | Linear OA(990, 94, F9, 80) (dual of [94, 4, 81]-code) | [i] | ✔ | |
| 78 | Linear OA(988, 92, F9, 79) (dual of [92, 4, 80]-code) | [i] | ✔ | |
| 79 | Linear OOA(978, 41, F9, 2, 71) (dual of [(41, 2), 4, 72]-NRT-code) | [i] | OOA Folding | |