Information on Result #690763
Linear OA(966, 80, F9, 51) (dual of [80, 14, 52]-code), using contraction based on linear OA(9146, 160, F9, 103) (dual of [160, 14, 104]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,101], and minimum distance d ≥ |{−1,0,…,101}|+1 = 104 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9145, 158, F9, 103) (dual of [158, 13, 104]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9144, 156, F9, 103) (dual of [156, 12, 104]-code) | [i] | ||
| 3 | Linear OA(9143, 154, F9, 103) (dual of [154, 11, 104]-code) | [i] | ||
| 4 | Linear OA(9142, 152, F9, 103) (dual of [152, 10, 104]-code) | [i] | ||
| 5 | Linear OA(980, 94, F9, 52) (dual of [94, 14, 53]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(981, 95, F9, 53) (dual of [95, 14, 54]-code) | [i] | ||
| 7 | Linear OA(983, 97, F9, 54) (dual of [97, 14, 55]-code) | [i] | ||
| 8 | Linear OA(984, 98, F9, 55) (dual of [98, 14, 56]-code) | [i] | ||
| 9 | Linear OA(987, 101, F9, 57) (dual of [101, 14, 58]-code) | [i] | ||
| 10 | Linear OA(991, 105, F9, 60) (dual of [105, 14, 61]-code) | [i] | ||
| 11 | Linear OA(992, 106, F9, 61) (dual of [106, 14, 62]-code) | [i] | ||
| 12 | Linear OA(993, 107, F9, 62) (dual of [107, 14, 63]-code) | [i] | ||
| 13 | Linear OA(994, 108, F9, 63) (dual of [108, 14, 64]-code) | [i] | ||
| 14 | Linear OA(996, 110, F9, 64) (dual of [110, 14, 65]-code) | [i] | ||
| 15 | Linear OA(980, 93, F9, 53) (dual of [93, 13, 54]-code) | [i] | ||
| 16 | Linear OA(983, 96, F9, 55) (dual of [96, 13, 56]-code) | [i] | ||
| 17 | Linear OA(986, 99, F9, 57) (dual of [99, 13, 58]-code) | [i] | ||
| 18 | Linear OA(989, 102, F9, 59) (dual of [102, 13, 60]-code) | [i] | ||
| 19 | Linear OA(990, 103, F9, 60) (dual of [103, 13, 61]-code) | [i] | ||
| 20 | Linear OA(991, 104, F9, 61) (dual of [104, 13, 62]-code) | [i] | ||
| 21 | Linear OA(992, 105, F9, 62) (dual of [105, 13, 63]-code) | [i] | ||
| 22 | Linear OA(993, 106, F9, 63) (dual of [106, 13, 64]-code) | [i] | ||
| 23 | Linear OA(994, 107, F9, 64) (dual of [107, 13, 65]-code) | [i] | ||
| 24 | Linear OA(9107, 120, F9, 72) (dual of [120, 13, 73]-code) | [i] | ||
| 25 | Linear OA(9147, 160, F9, 104) (dual of [160, 13, 105]-code) | [i] | ||
| 26 | Linear OA(990, 102, F9, 61) (dual of [102, 12, 62]-code) | [i] | ||
| 27 | Linear OA(991, 103, F9, 62) (dual of [103, 12, 63]-code) | [i] | ||
| 28 | Linear OA(992, 104, F9, 63) (dual of [104, 12, 64]-code) | [i] | ||
| 29 | Linear OA(993, 105, F9, 64) (dual of [105, 12, 65]-code) | [i] | ||
| 30 | Linear OA(994, 106, F9, 65) (dual of [106, 12, 66]-code) | [i] | ||
| 31 | Linear OA(989, 100, F9, 61) (dual of [100, 11, 62]-code) | [i] | ||
| 32 | Linear OA(990, 101, F9, 62) (dual of [101, 11, 63]-code) | [i] | ||
| 33 | Linear OA(991, 102, F9, 63) (dual of [102, 11, 64]-code) | [i] | ||
| 34 | Linear OA(992, 103, F9, 64) (dual of [103, 11, 65]-code) | [i] | ||
| 35 | Linear OA(993, 104, F9, 65) (dual of [104, 11, 66]-code) | [i] | ||
| 36 | Linear OA(994, 105, F9, 66) (dual of [105, 11, 67]-code) | [i] | ||
| 37 | Linear OA(986, 96, F9, 61) (dual of [96, 10, 62]-code) | [i] | ||
| 38 | Linear OA(991, 101, F9, 64) (dual of [101, 10, 65]-code) | [i] | ||
| 39 | Linear OA(992, 102, F9, 65) (dual of [102, 10, 66]-code) | [i] | ||
| 40 | Linear OA(993, 103, F9, 66) (dual of [103, 10, 67]-code) | [i] | ||
| 41 | Linear OA(994, 104, F9, 67) (dual of [104, 10, 68]-code) | [i] | ||
| 42 | Linear OA(968, 82, F9, 52) (dual of [82, 14, 53]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 43 | Linear OA(971, 85, F9, 53) (dual of [85, 14, 54]-code) | [i] | ✔ | |
| 44 | Linear OA(972, 89, F9, 51) (dual of [89, 17, 52]-code) | [i] | ✔ | |
| 45 | Linear OA(974, 93, F9, 51) (dual of [93, 19, 52]-code) | [i] | ✔ | |
| 46 | Linear OA(975, 96, F9, 51) (dual of [96, 21, 52]-code) | [i] | ✔ | |
| 47 | Linear OA(976, 99, F9, 51) (dual of [99, 23, 52]-code) | [i] | ✔ | |
| 48 | Linear OA(979, 103, F9, 51) (dual of [103, 24, 52]-code) | [i] | ✔ | |
| 49 | Linear OA(967, 83, F9, 51) (dual of [83, 16, 52]-code) | [i] | ✔ | |
| 50 | Linear OA(980, 105, F9, 51) (dual of [105, 25, 52]-code) | [i] | ✔ | |
| 51 | Linear OA(971, 86, F9, 53) (dual of [86, 15, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 52 | Linear OA(968, 83, F9, 52) (dual of [83, 15, 53]-code) | [i] | ✔ | |
| 53 | Linear OA(979, 104, F9, 51) (dual of [104, 25, 52]-code) | [i] | ✔ | |
| 54 | Linear OA(976, 100, F9, 51) (dual of [100, 24, 52]-code) | [i] | ✔ | |
| 55 | Linear OA(975, 97, F9, 51) (dual of [97, 22, 52]-code) | [i] | ✔ | |
| 56 | Linear OA(974, 94, F9, 51) (dual of [94, 20, 52]-code) | [i] | ✔ | |
| 57 | Linear OA(972, 90, F9, 51) (dual of [90, 18, 52]-code) | [i] | ✔ | |
| 58 | Linear OA(966, 82, F9, 51) (dual of [82, 16, 52]-code) | [i] | ✔ | |
| 59 | Linear OA(973, 91, F9, 51) (dual of [91, 18, 52]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 60 | Linear OA(977, 101, F9, 51) (dual of [101, 24, 52]-code) | [i] | ✔ | |