Information on Result #718294
Linear OA(972, 80, F9, 60) (dual of [80, 8, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61
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
- 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(9150, 156, F9, 121) (dual of [156, 6, 122]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9149, 154, F9, 121) (dual of [154, 5, 122]-code) | [i] | ||
| 3 | Linear OA(9150, 155, F9, 122) (dual of [155, 5, 123]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(997, 122, F9, 60) (dual of [122, 25, 61]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(996, 120, F9, 60) (dual of [120, 24, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(994, 117, F9, 60) (dual of [117, 23, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(993, 115, F9, 60) (dual of [115, 22, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(992, 112, F9, 60) (dual of [112, 20, 61]-code) | [i] | ✔ | |
| 9 | Linear OOA(972, 40, F9, 2, 60) (dual of [(40, 2), 8, 61]-NRT-code) | [i] | OOA Folding | |