Information on Result #690821
Linear OA(969, 80, F9, 52) (dual of [80, 11, 53]-code), using contraction based on linear OA(9149, 160, F9, 105) (dual of [160, 11, 106]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,105], and designed minimum distance d ≥ |I|+1 = 106 [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 Narrow-Sense BCH-Codes [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(971, 87, F9, 52) (dual of [87, 16, 53]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(985, 110, F9, 52) (dual of [110, 25, 53]-code) | [i] | ✔ | |
| 3 | Linear OA(986, 111, F9, 53) (dual of [111, 25, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(984, 108, F9, 53) (dual of [108, 24, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(983, 105, F9, 53) (dual of [105, 22, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(980, 100, F9, 53) (dual of [100, 20, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(979, 97, F9, 53) (dual of [97, 18, 54]-code) | [i] | ✔ | |
| 8 | Linear OA(972, 88, F9, 53) (dual of [88, 16, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(971, 86, F9, 53) (dual of [86, 15, 54]-code) | [i] | ✔ | |
| 10 | Linear OA(970, 83, F9, 53) (dual of [83, 13, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(984, 109, F9, 52) (dual of [109, 25, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |