Information on Result #718198
Linear OA(968, 80, F9, 52) (dual of [80, 12, 53]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,51], and designed minimum distance d ≥ |I|+1 = 53
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9147, 158, F9, 105) (dual of [158, 11, 106]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9146, 156, F9, 105) (dual of [156, 10, 106]-code) | [i] | ||
| 3 | Linear OA(995, 107, F9, 65) (dual of [107, 12, 66]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(996, 108, F9, 66) (dual of [108, 12, 67]-code) | [i] | ||
| 5 | Linear OA(995, 106, F9, 66) (dual of [106, 11, 67]-code) | [i] | ||
| 6 | Linear OA(996, 107, F9, 67) (dual of [107, 11, 68]-code) | [i] | ||
| 7 | Linear OA(987, 97, F9, 61) (dual of [97, 10, 62]-code) | [i] | ||
| 8 | Linear OA(988, 98, F9, 62) (dual of [98, 10, 63]-code) | [i] | ||
| 9 | Linear OA(996, 106, F9, 68) (dual of [106, 10, 69]-code) | [i] | ||
| 10 | Linear OA(993, 127, F9, 52) (dual of [127, 34, 53]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(992, 125, F9, 52) (dual of [125, 33, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(991, 122, F9, 52) (dual of [122, 31, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(990, 119, F9, 52) (dual of [119, 29, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(989, 117, F9, 52) (dual of [117, 28, 53]-code) | [i] | ✔ | |
| 15 | Linear OA(991, 123, F9, 52) (dual of [123, 32, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(989, 120, F9, 52) (dual of [120, 31, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(988, 118, F9, 52) (dual of [118, 30, 53]-code) | [i] | ✔ | |
| 19 | Linear OA(987, 115, F9, 52) (dual of [115, 28, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(986, 112, F9, 52) (dual of [112, 26, 53]-code) | [i] | ✔ | |
| 21 | Linear OA(977, 98, F9, 52) (dual of [98, 21, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(976, 95, F9, 52) (dual of [95, 19, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(975, 93, F9, 52) (dual of [93, 18, 53]-code) | [i] | ✔ | |
| 24 | Linear OA(974, 91, F9, 52) (dual of [91, 17, 53]-code) | [i] | ✔ | |
| 25 | Linear OA(997, 118, F9, 62) (dual of [118, 21, 63]-code) | [i] | ✔ | |
| 26 | Linear OA(996, 116, F9, 62) (dual of [116, 20, 63]-code) | [i] | ✔ | |
| 27 | Linear OA(995, 114, F9, 62) (dual of [114, 19, 63]-code) | [i] | ✔ | |
| 28 | Linear OA(970, 84, F9, 53) (dual of [84, 14, 54]-code) | [i] | ✔ | |
| 29 | Linear OA(994, 111, F9, 62) (dual of [111, 17, 63]-code) | [i] | ✔ | |
| 30 | Linear OA(973, 87, F9, 54) (dual of [87, 14, 55]-code) | [i] | ✔ | |
| 31 | Linear OA(9108, 125, F9, 70) (dual of [125, 17, 71]-code) | [i] | ✔ | |
| 32 | Linear OA(986, 101, F9, 62) (dual of [101, 15, 63]-code) | [i] | ✔ | |
| 33 | Linear OA(985, 99, F9, 62) (dual of [99, 14, 63]-code) | [i] | ✔ | |
| 34 | Linear OA(972, 84, F9, 54) (dual of [84, 12, 55]-code) | [i] | ✔ | |
| 35 | Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) | [i] | ✔ | |
| 36 | Linear OA(989, 99, F9, 67) (dual of [99, 10, 68]-code) | [i] | ✔ | |