Information on Result #616047
Linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound)
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(973, 82, F9, 60) (dual of [82, 9, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(973, 82, F9, 59) (dual of [82, 9, 60]-code) | [i] | ||
| 3 | Linear OA(973, 82, F9, 58) (dual of [82, 9, 59]-code) | [i] | ||
| 4 | Linear OA(973, 82, F9, 57) (dual of [82, 9, 58]-code) | [i] | ||
| 5 | Linear OA(974, 83, F9, 61) (dual of [83, 9, 62]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(970, 79, F9, 58) (dual of [79, 9, 59]-code) | [i] | Truncation | |
| 7 | Linear OA(969, 78, F9, 57) (dual of [78, 9, 58]-code) | [i] | ||
| 8 | Linear OA(968, 77, F9, 56) (dual of [77, 9, 57]-code) | [i] | ||
| 9 | Linear OA(967, 76, F9, 55) (dual of [76, 9, 56]-code) | [i] | ||
| 10 | Linear OA(966, 75, F9, 54) (dual of [75, 9, 55]-code) | [i] | ||
| 11 | Linear OA(965, 74, F9, 53) (dual of [74, 9, 54]-code) | [i] | ||
| 12 | Linear OA(964, 73, F9, 52) (dual of [73, 9, 53]-code) | [i] | ||
| 13 | Linear OA(963, 72, F9, 51) (dual of [72, 9, 52]-code) | [i] | ||
| 14 | Linear OA(962, 71, F9, 50) (dual of [71, 9, 51]-code) | [i] | ||
| 15 | Linear OA(961, 70, F9, 49) (dual of [70, 9, 50]-code) | [i] | ||
| 16 | Linear OA(960, 69, F9, 48) (dual of [69, 9, 49]-code) | [i] | ||
| 17 | Linear OA(959, 68, F9, 47) (dual of [68, 9, 48]-code) | [i] | ||
| 18 | Linear OA(958, 67, F9, 46) (dual of [67, 9, 47]-code) | [i] | ||
| 19 | Linear OA(957, 66, F9, 45) (dual of [66, 9, 46]-code) | [i] | ||
| 20 | Linear OA(956, 65, F9, 44) (dual of [65, 9, 45]-code) | [i] | ||
| 21 | Linear OA(955, 64, F9, 43) (dual of [64, 9, 44]-code) | [i] | ||
| 22 | Linear OA(954, 63, F9, 42) (dual of [63, 9, 43]-code) | [i] | ||
| 23 | Linear OA(953, 62, F9, 41) (dual of [62, 9, 42]-code) | [i] | ||
| 24 | Linear OA(982, 91, F9, 62) (dual of [91, 9, 63]-code) | [i] | Juxtaposition | |
| 25 | Linear OA(983, 92, F9, 63) (dual of [92, 9, 64]-code) | [i] | ||
| 26 | Linear OA(985, 94, F9, 64) (dual of [94, 9, 65]-code) | [i] | ||
| 27 | Linear OA(986, 95, F9, 65) (dual of [95, 9, 66]-code) | [i] | ||
| 28 | Linear OA(987, 96, F9, 66) (dual of [96, 9, 67]-code) | [i] | ||
| 29 | Linear OA(988, 97, F9, 67) (dual of [97, 9, 68]-code) | [i] | ||
| 30 | Linear OA(989, 98, F9, 68) (dual of [98, 9, 69]-code) | [i] | ||
| 31 | Linear OA(990, 99, F9, 69) (dual of [99, 9, 70]-code) | [i] | ||
| 32 | Linear OA(991, 100, F9, 70) (dual of [100, 9, 71]-code) | [i] | ||
| 33 | Linear OA(992, 101, F9, 71) (dual of [101, 9, 72]-code) | [i] | ||
| 34 | Linear OA(995, 104, F9, 72) (dual of [104, 9, 73]-code) | [i] | ||
| 35 | Linear OA(996, 105, F9, 73) (dual of [105, 9, 74]-code) | [i] | ||
| 36 | Linear OA(997, 106, F9, 74) (dual of [106, 9, 75]-code) | [i] | ||
| 37 | Linear OA(998, 107, F9, 75) (dual of [107, 9, 76]-code) | [i] | ||
| 38 | Linear OA(999, 108, F9, 76) (dual of [108, 9, 77]-code) | [i] | ||
| 39 | Linear OA(9100, 109, F9, 77) (dual of [109, 9, 78]-code) | [i] | ||
| 40 | Linear OA(9101, 110, F9, 78) (dual of [110, 9, 79]-code) | [i] | ||
| 41 | Linear OA(9103, 112, F9, 79) (dual of [112, 9, 80]-code) | [i] | ||
| 42 | Linear OA(9105, 114, F9, 80) (dual of [114, 9, 81]-code) | [i] | ||
| 43 | Linear OA(9107, 116, F9, 81) (dual of [116, 9, 82]-code) | [i] | ||
| 44 | Linear OA(9109, 118, F9, 82) (dual of [118, 9, 83]-code) | [i] | ||
| 45 | Linear OA(9111, 120, F9, 83) (dual of [120, 9, 84]-code) | [i] | ||
| 46 | Linear OA(9112, 121, F9, 84) (dual of [121, 9, 85]-code) | [i] | ||
| 47 | Linear OA(9113, 122, F9, 85) (dual of [122, 9, 86]-code) | [i] | ||
| 48 | Linear OA(9150, 159, F9, 118) (dual of [159, 9, 119]-code) | [i] | ||
| 49 | Linear OA(9115, 124, F9, 86) (dual of [124, 9, 87]-code) | [i] | ||
| 50 | Linear OA(9117, 126, F9, 87) (dual of [126, 9, 88]-code) | [i] | ||
| 51 | Linear OA(9119, 128, F9, 88) (dual of [128, 9, 89]-code) | [i] | ||
| 52 | Linear OA(9127, 136, F9, 96) (dual of [136, 9, 97]-code) | [i] | ||
| 53 | Linear OA(9128, 137, F9, 97) (dual of [137, 9, 98]-code) | [i] | ||
| 54 | Linear OA(9129, 138, F9, 98) (dual of [138, 9, 99]-code) | [i] | ||
| 55 | Linear OA(9130, 139, F9, 99) (dual of [139, 9, 100]-code) | [i] | ||
| 56 | Linear OA(9131, 140, F9, 100) (dual of [140, 9, 101]-code) | [i] | ||
| 57 | Linear OA(9132, 141, F9, 101) (dual of [141, 9, 102]-code) | [i] | ||
| 58 | Linear OA(9133, 142, F9, 102) (dual of [142, 9, 103]-code) | [i] | ||
| 59 | Linear OA(993, 103, F9, 61) (dual of [103, 10, 62]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 60 | Linear OA(978, 87, F9, 63) (dual of [87, 9, 64]-code) | [i] | ✔ | |
| 61 | Linear OA(988, 101, F9, 61) (dual of [101, 13, 62]-code) | [i] | ✔ | |
| 62 | Linear OA(985, 98, F9, 59) (dual of [98, 13, 60]-code) | [i] | ✔ | |
| 63 | Linear OA(979, 92, F9, 54) (dual of [92, 13, 55]-code) | [i] | ✔ | |
| 64 | Linear OA(9104, 112, F9, 81) (dual of [112, 8, 82]-code) | [i] | ✔ | |
| 65 | Linear OA(9105, 114, F9, 81) (dual of [114, 9, 82]-code) | [i] | ✔ | |
| 66 | Linear OA(9102, 110, F9, 80) (dual of [110, 8, 81]-code) | [i] | ✔ | |
| 67 | Linear OA(9103, 112, F9, 80) (dual of [112, 9, 81]-code) | [i] | ✔ | |
| 68 | Linear OA(9101, 110, F9, 79) (dual of [110, 9, 80]-code) | [i] | ✔ | |
| 69 | Linear OA(994, 102, F9, 73) (dual of [102, 8, 74]-code) | [i] | ✔ | |
| 70 | Linear OA(993, 102, F9, 72) (dual of [102, 9, 73]-code) | [i] | ✔ | |
| 71 | Linear OA(991, 100, F9, 71) (dual of [100, 9, 72]-code) | [i] | ✔ | |
| 72 | Linear OA(984, 92, F9, 65) (dual of [92, 8, 66]-code) | [i] | ✔ | |
| 73 | Linear OA(983, 92, F9, 64) (dual of [92, 9, 65]-code) | [i] | ✔ | |
| 74 | Linear OA(991, 108, F9, 61) (dual of [108, 17, 62]-code) | [i] | ✔ | |
| 75 | Linear OA(986, 102, F9, 57) (dual of [102, 16, 58]-code) | [i] | ✔ | |
| 76 | Linear OA(985, 102, F9, 56) (dual of [102, 17, 57]-code) | [i] | ✔ | |
| 77 | Linear OA(983, 100, F9, 55) (dual of [100, 17, 56]-code) | [i] | ✔ | |
| 78 | Linear OA(994, 112, F9, 61) (dual of [112, 18, 62]-code) | [i] | ✔ | |
| 79 | Linear OA(995, 114, F9, 61) (dual of [114, 19, 62]-code) | [i] | ✔ | |
| 80 | Linear OA(996, 117, F9, 61) (dual of [117, 21, 62]-code) | [i] | ✔ | |
| 81 | Linear OA(992, 110, F9, 60) (dual of [110, 18, 61]-code) | [i] | ✔ | |
| 82 | Linear OA(993, 112, F9, 60) (dual of [112, 19, 61]-code) | [i] | ✔ | |
| 83 | Linear OA(994, 114, F9, 60) (dual of [114, 20, 61]-code) | [i] | ✔ | |
| 84 | Linear OA(991, 110, F9, 59) (dual of [110, 19, 60]-code) | [i] | ✔ | |
| 85 | Linear OA(992, 112, F9, 59) (dual of [112, 20, 60]-code) | [i] | ✔ | |
| 86 | Linear OA(993, 114, F9, 59) (dual of [114, 21, 60]-code) | [i] | ✔ | |
| 87 | Linear OA(990, 110, F9, 58) (dual of [110, 20, 59]-code) | [i] | ✔ | |
| 88 | Linear OA(991, 112, F9, 58) (dual of [112, 21, 59]-code) | [i] | ✔ | |
| 89 | Linear OA(989, 110, F9, 57) (dual of [110, 21, 58]-code) | [i] | ✔ | |
| 90 | Linear OA(9100, 122, F9, 61) (dual of [122, 22, 62]-code) | [i] | ✔ | |
| 91 | Linear OA(9101, 124, F9, 61) (dual of [124, 23, 62]-code) | [i] | ✔ | |
| 92 | Linear OA(999, 122, F9, 60) (dual of [122, 23, 61]-code) | [i] | ✔ | |
| 93 | Linear OA(9100, 124, F9, 60) (dual of [124, 24, 61]-code) | [i] | ✔ | |
| 94 | Linear OA(9101, 126, F9, 60) (dual of [126, 25, 61]-code) | [i] | ✔ | |
| 95 | Linear OA(998, 122, F9, 59) (dual of [122, 24, 60]-code) | [i] | ✔ | |
| 96 | Linear OA(999, 124, F9, 59) (dual of [124, 25, 60]-code) | [i] | ✔ | |
| 97 | Linear OA(996, 118, F9, 58) (dual of [118, 22, 59]-code) | [i] | ✔ | |
| 98 | Linear OA(997, 122, F9, 58) (dual of [122, 25, 59]-code) | [i] | ✔ | |
| 99 | Linear OA(994, 117, F9, 57) (dual of [117, 23, 58]-code) | [i] | ✔ | |
| 100 | Linear OA(992, 114, F9, 56) (dual of [114, 22, 57]-code) | [i] | ✔ | |
| 101 | Linear OA(994, 118, F9, 56) (dual of [118, 24, 57]-code) | [i] | ✔ | |
| 102 | Linear OA(990, 112, F9, 55) (dual of [112, 22, 56]-code) | [i] | ✔ | |
| 103 | Linear OA(991, 114, F9, 55) (dual of [114, 23, 56]-code) | [i] | ✔ | |
| 104 | Linear OA(992, 117, F9, 55) (dual of [117, 25, 56]-code) | [i] | ✔ | |
| 105 | Linear OA(988, 110, F9, 54) (dual of [110, 22, 55]-code) | [i] | ✔ | |
| 106 | Linear OA(989, 112, F9, 54) (dual of [112, 23, 55]-code) | [i] | ✔ | |
| 107 | Linear OA(990, 114, F9, 54) (dual of [114, 24, 55]-code) | [i] | ✔ | |
| 108 | Linear OA(990, 104, F9, 61) (dual of [104, 14, 62]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 109 | Linear OA(994, 113, F9, 61) (dual of [113, 19, 62]-code) | [i] | ✔ | |
| 110 | Linear OA(986, 105, F9, 55) (dual of [105, 19, 56]-code) | [i] | ✔ | |
| 111 | Linear OA(993, 111, F9, 61) (dual of [111, 18, 62]-code) | [i] | ✔ | |
| 112 | Linear OA(985, 103, F9, 55) (dual of [103, 18, 56]-code) | [i] | ✔ | |
| 113 | Linear OA(997, 120, F9, 59) (dual of [120, 23, 60]-code) | [i] | ✔ | |
| 114 | Linear OA(992, 115, F9, 56) (dual of [115, 23, 57]-code) | [i] | ✔ | |
| 115 | Linear OA(990, 113, F9, 55) (dual of [113, 23, 56]-code) | [i] | ✔ | |
| 116 | Linear OA(998, 120, F9, 60) (dual of [120, 22, 61]-code) | [i] | ✔ | |
| 117 | Linear OA(996, 118, F9, 59) (dual of [118, 22, 60]-code) | [i] | ✔ | |
| 118 | Linear OA(994, 116, F9, 58) (dual of [116, 22, 59]-code) | [i] | ✔ | |
| 119 | Linear OA(992, 114, F9, 57) (dual of [114, 22, 58]-code) | [i] | ✔ | |
| 120 | Linear OA(990, 112, F9, 56) (dual of [112, 22, 57]-code) | [i] | ✔ | |
| 121 | Linear OOA(973, 41, F9, 2, 61) (dual of [(41, 2), 9, 62]-NRT-code) | [i] | OOA Folding | |