Information on Result #616040
Linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60
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(972, 81, F9, 59) (dual of [81, 9, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(972, 81, F9, 58) (dual of [81, 9, 59]-code) | [i] | ||
| 3 | Linear OA(972, 81, F9, 57) (dual of [81, 9, 58]-code) | [i] | ||
| 4 | Linear OA(972, 81, F9, 56) (dual of [81, 9, 57]-code) | [i] | ||
| 5 | Linear OA(978, 89, F9, 60) (dual of [89, 11, 61]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(976, 85, F9, 62) (dual of [85, 9, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(973, 86, F9, 54) (dual of [86, 13, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(980, 93, F9, 60) (dual of [93, 13, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(978, 91, F9, 59) (dual of [91, 13, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(987, 96, F9, 70) (dual of [96, 9, 71]-code) | [i] | ✔ | |
| 11 | Linear OA(982, 91, F9, 66) (dual of [91, 9, 67]-code) | [i] | ✔ | |
| 12 | Linear OA(981, 96, F9, 60) (dual of [96, 15, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(977, 91, F9, 57) (dual of [91, 14, 58]-code) | [i] | ✔ | |
| 14 | Linear OA(976, 91, F9, 56) (dual of [91, 15, 57]-code) | [i] | ✔ | |
| 15 | Linear OA(990, 99, F9, 71) (dual of [99, 9, 72]-code) | [i] | ✔ | |
| 16 | Linear OA(982, 98, F9, 60) (dual of [98, 16, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(975, 91, F9, 54) (dual of [91, 16, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(990, 108, F9, 60) (dual of [108, 18, 61]-code) | [i] | ✔ | |
| 19 | Linear OA(982, 100, F9, 54) (dual of [100, 18, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(992, 111, F9, 60) (dual of [111, 19, 61]-code) | [i] | ✔ | |
| 21 | Linear OA(993, 113, F9, 60) (dual of [113, 20, 61]-code) | [i] | ✔ | |
| 22 | Linear OA(990, 109, F9, 59) (dual of [109, 19, 60]-code) | [i] | ✔ | |
| 23 | Linear OA(991, 111, F9, 59) (dual of [111, 20, 60]-code) | [i] | ✔ | |
| 24 | Linear OA(989, 109, F9, 58) (dual of [109, 20, 59]-code) | [i] | ✔ | |
| 25 | Linear OA(997, 119, F9, 60) (dual of [119, 22, 61]-code) | [i] | ✔ | |
| 26 | Linear OA(995, 117, F9, 59) (dual of [117, 22, 60]-code) | [i] | ✔ | |
| 27 | Linear OA(993, 115, F9, 58) (dual of [115, 22, 59]-code) | [i] | ✔ | |
| 28 | Linear OA(991, 113, F9, 57) (dual of [113, 22, 58]-code) | [i] | ✔ | |
| 29 | Linear OA(989, 111, F9, 56) (dual of [111, 22, 57]-code) | [i] | ✔ | |
| 30 | Linear OA(987, 109, F9, 55) (dual of [109, 22, 56]-code) | [i] | ✔ | |
| 31 | Linear OA(998, 121, F9, 60) (dual of [121, 23, 61]-code) | [i] | ✔ | |
| 32 | Linear OA(999, 123, F9, 60) (dual of [123, 24, 61]-code) | [i] | ✔ | |
| 33 | Linear OA(997, 121, F9, 59) (dual of [121, 24, 60]-code) | [i] | ✔ | |
| 34 | Linear OA(993, 116, F9, 57) (dual of [116, 23, 58]-code) | [i] | ✔ | |
| 35 | Linear OA(993, 117, F9, 56) (dual of [117, 24, 57]-code) | [i] | ✔ | |
| 36 | Linear OA(991, 115, F9, 55) (dual of [115, 24, 56]-code) | [i] | ✔ | |
| 37 | Linear OA(988, 111, F9, 54) (dual of [111, 23, 55]-code) | [i] | ✔ | |
| 38 | Linear OA(989, 113, F9, 54) (dual of [113, 24, 55]-code) | [i] | ✔ | |
| 39 | Linear OA(9106, 116, F9, 77) (dual of [116, 10, 78]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 40 | Linear OA(9108, 121, F9, 74) (dual of [121, 13, 75]-code) | [i] | ✔ | |
| 41 | Linear OA(9106, 119, F9, 73) (dual of [119, 13, 74]-code) | [i] | ✔ | |
| 42 | Linear OA(989, 98, F9, 71) (dual of [98, 9, 72]-code) | [i] | ✔ | |
| 43 | Linear OA(995, 105, F9, 70) (dual of [105, 10, 71]-code) | [i] | ✔ | |
| 44 | Linear OA(988, 98, F9, 64) (dual of [98, 10, 65]-code) | [i] | ✔ | |
| 45 | Linear OA(9104, 118, F9, 71) (dual of [118, 14, 72]-code) | [i] | ✔ | |
| 46 | Linear OA(983, 92, F9, 67) (dual of [92, 9, 68]-code) | [i] | ✔ | |
| 47 | Linear OA(995, 106, F9, 70) (dual of [106, 11, 71]-code) | [i] | ✔ | |
| 48 | Linear OA(988, 99, F9, 64) (dual of [99, 11, 65]-code) | [i] | ✔ | |
| 49 | Linear OA(994, 104, F9, 70) (dual of [104, 10, 71]-code) | [i] | ✔ | |
| 50 | Linear OA(988, 98, F9, 65) (dual of [98, 10, 66]-code) | [i] | ✔ | |
| 51 | Linear OA(983, 93, F9, 62) (dual of [93, 10, 63]-code) | [i] | ✔ | |
| 52 | Linear OA(978, 92, F9, 58) (dual of [92, 14, 59]-code) | [i] | ✔ | |
| 53 | Linear OA(976, 92, F9, 55) (dual of [92, 16, 56]-code) | [i] | ✔ | |
| 54 | Linear OA(989, 107, F9, 60) (dual of [107, 18, 61]-code) | [i] | ✔ | |
| 55 | Linear OA(988, 105, F9, 60) (dual of [105, 17, 61]-code) | [i] | ✔ | |
| 56 | Linear OA(991, 110, F9, 60) (dual of [110, 19, 61]-code) | [i] | ✔ | |
| 57 | Linear OA(983, 102, F9, 54) (dual of [102, 19, 55]-code) | [i] | ✔ | |
| 58 | Linear OA(994, 117, F9, 58) (dual of [117, 23, 59]-code) | [i] | ✔ | |
| 59 | Linear OA(991, 114, F9, 56) (dual of [114, 23, 57]-code) | [i] | ✔ | |
| 60 | Linear OA(989, 112, F9, 55) (dual of [112, 23, 56]-code) | [i] | ✔ | |
| 61 | Linear OA(987, 110, F9, 54) (dual of [110, 23, 55]-code) | [i] | ✔ | |
| 62 | Linear OOA(972, 27, F9, 3, 60) (dual of [(27, 3), 9, 61]-NRT-code) | [i] | OOA Folding | |