Information on Result #690768
Linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using contraction based on linear OA(9141, 160, F9, 87) (dual of [160, 19, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,85], and minimum distance d ≥ |{−1,0,…,85}|+1 = 88 (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 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]
- 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(9140, 158, F9, 87) (dual of [158, 18, 88]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9139, 156, F9, 87) (dual of [156, 17, 88]-code) | [i] | ||
| 3 | Linear OA(3202, 240, F3, 87) (dual of [240, 38, 88]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(3201, 237, F3, 87) (dual of [237, 36, 88]-code) | [i] | ||
| 5 | Linear OA(3200, 234, F3, 87) (dual of [234, 34, 88]-code) | [i] | ||
| 6 | Linear OA(963, 82, F9, 44) (dual of [82, 19, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(971, 90, F9, 50) (dual of [90, 19, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(962, 85, F9, 43) (dual of [85, 23, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(974, 93, F9, 51) (dual of [93, 19, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(963, 87, F9, 43) (dual of [87, 24, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(977, 96, F9, 52) (dual of [96, 19, 53]-code) | [i] | ✔ | |
| 12 | Linear OA(980, 99, F9, 53) (dual of [99, 19, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(964, 89, F9, 43) (dual of [89, 25, 44]-code) | [i] | ✔ | |
| 14 | Linear OA(980, 100, F9, 53) (dual of [100, 20, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 15 | Linear OA(977, 97, F9, 52) (dual of [97, 20, 53]-code) | [i] | ✔ | |
| 16 | Linear OA(974, 94, F9, 51) (dual of [94, 20, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(971, 91, F9, 50) (dual of [91, 20, 51]-code) | [i] | ✔ | |
| 18 | Linear OA(963, 83, F9, 44) (dual of [83, 20, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(963, 88, F9, 43) (dual of [88, 25, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(962, 86, F9, 43) (dual of [86, 24, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(961, 83, F9, 43) (dual of [83, 22, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(981, 101, F9, 53) (dual of [101, 20, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(973, 91, F9, 51) (dual of [91, 18, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(971, 91, F9, 49) (dual of [91, 20, 50]-code) | [i] | ✔ | |