Information on Result #690760
Linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using contraction based on linear OA(9150, 160, F9, 107) (dual of [160, 10, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,105], and minimum distance d ≥ |{−1,0,…,105}|+1 = 108 (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 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]
- 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(970, 82, F9, 53) (dual of [82, 12, 54]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(971, 85, F9, 53) (dual of [85, 14, 54]-code) | [i] | ✔ | |
| 3 | Linear OA(972, 87, F9, 53) (dual of [87, 15, 54]-code) | [i] | ✔ | |
| 4 | Linear OA(979, 96, F9, 53) (dual of [96, 17, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(980, 99, F9, 53) (dual of [99, 19, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(983, 104, F9, 53) (dual of [104, 21, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(984, 107, F9, 53) (dual of [107, 23, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(986, 110, F9, 53) (dual of [110, 24, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(973, 89, F9, 53) (dual of [89, 16, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(989, 114, F9, 53) (dual of [114, 25, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(986, 111, F9, 53) (dual of [111, 25, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(984, 108, F9, 53) (dual of [108, 24, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(983, 105, F9, 53) (dual of [105, 22, 54]-code) | [i] | ✔ | |
| 14 | Linear OA(980, 100, F9, 53) (dual of [100, 20, 54]-code) | [i] | ✔ | |
| 15 | Linear OA(979, 97, F9, 53) (dual of [97, 18, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(972, 88, F9, 53) (dual of [88, 16, 54]-code) | [i] | ✔ | |
| 17 | Linear OA(971, 86, F9, 53) (dual of [86, 15, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(970, 83, F9, 53) (dual of [83, 13, 54]-code) | [i] | ✔ | |
| 19 | Linear OA(978, 94, F9, 53) (dual of [94, 16, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 20 | Linear OA(981, 101, F9, 53) (dual of [101, 20, 54]-code) | [i] | ✔ | |
| 21 | Linear OA(985, 109, F9, 53) (dual of [109, 24, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(988, 113, F9, 53) (dual of [113, 25, 54]-code) | [i] | ✔ | |