Information on Result #690824
Linear OA(958, 80, F9, 41) (dual of [80, 22, 42]-code), using contraction based on linear OA(9138, 160, F9, 83) (dual of [160, 22, 84]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,83], and designed minimum distance d ≥ |I|+1 = 84 [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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(972, 94, F9, 49) (dual of [94, 22, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(968, 90, F9, 46) (dual of [90, 22, 47]-code) | [i] | ✔ | |
| 3 | Linear OA(983, 105, F9, 53) (dual of [105, 22, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(978, 100, F9, 52) (dual of [100, 22, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(975, 97, F9, 51) (dual of [97, 22, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(973, 95, F9, 50) (dual of [95, 22, 51]-code) | [i] | ✔ | |
| 7 | Linear OA(969, 91, F9, 47) (dual of [91, 22, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(964, 86, F9, 44) (dual of [86, 22, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(961, 83, F9, 43) (dual of [83, 22, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(960, 85, F9, 42) (dual of [85, 25, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(959, 83, F9, 42) (dual of [83, 24, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(970, 91, F9, 48) (dual of [91, 21, 49]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(968, 91, F9, 45) (dual of [91, 23, 46]-code) | [i] | ✔ | |