Information on Result #690761
Linear OA(968, 80, F9, 52) (dual of [80, 12, 53]-code), using contraction based on linear OA(9148, 160, F9, 105) (dual of [160, 12, 106]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,103], and minimum distance d ≥ |{−1,0,…,103}|+1 = 106 (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 Expurgated Narrow-Sense BCH-Codes [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(970, 82, F9, 53) (dual of [82, 12, 54]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(968, 82, F9, 52) (dual of [82, 14, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(969, 84, F9, 52) (dual of [84, 15, 53]-code) | [i] | ✔ | |
| 13 | Linear OA(976, 93, F9, 52) (dual of [93, 17, 53]-code) | [i] | ✔ | |
| 14 | Linear OA(977, 96, F9, 52) (dual of [96, 19, 53]-code) | [i] | ✔ | |
| 15 | Linear OA(978, 99, F9, 52) (dual of [99, 21, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(981, 104, F9, 52) (dual of [104, 23, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(982, 106, F9, 52) (dual of [106, 24, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(970, 86, F9, 52) (dual of [86, 16, 53]-code) | [i] | ✔ | |
| 19 | Linear OA(983, 108, F9, 52) (dual of [108, 25, 53]-code) | [i] | ✔ | |
| 20 | Linear OA(970, 83, F9, 53) (dual of [83, 13, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 21 | Linear OA(982, 107, F9, 52) (dual of [107, 25, 53]-code) | [i] | ✔ | |
| 22 | Linear OA(981, 105, F9, 52) (dual of [105, 24, 53]-code) | [i] | ✔ | |
| 23 | Linear OA(978, 100, F9, 52) (dual of [100, 22, 53]-code) | [i] | ✔ | |
| 24 | Linear OA(977, 97, F9, 52) (dual of [97, 20, 53]-code) | [i] | ✔ | |
| 25 | Linear OA(976, 94, F9, 52) (dual of [94, 18, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(969, 85, F9, 52) (dual of [85, 16, 53]-code) | [i] | ✔ | |
| 27 | Linear OA(968, 83, F9, 52) (dual of [83, 15, 53]-code) | [i] | ✔ | |
| 28 | Linear OA(975, 91, F9, 52) (dual of [91, 16, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 29 | Linear OA(979, 101, F9, 52) (dual of [101, 22, 53]-code) | [i] | ✔ | |