Information on Result #690765
Linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using contraction based on linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Narrow-Sense BCH-Codes [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(9143, 156, F9, 101) (dual of [156, 13, 102]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9142, 154, F9, 101) (dual of [154, 12, 102]-code) | [i] | ||
| 3 | Linear OA(9141, 152, F9, 101) (dual of [152, 11, 102]-code) | [i] | ||
| 4 | Linear OA(9140, 150, F9, 101) (dual of [150, 10, 102]-code) | [i] | ||
| 5 | Linear OA(970, 87, F9, 50) (dual of [87, 17, 51]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(969, 84, F9, 52) (dual of [84, 15, 53]-code) | [i] | ✔ | |
| 7 | Linear OA(971, 90, F9, 50) (dual of [90, 19, 51]-code) | [i] | ✔ | |
| 8 | Linear OA(972, 87, F9, 53) (dual of [87, 15, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(973, 94, F9, 50) (dual of [94, 21, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(970, 90, F9, 48) (dual of [90, 20, 49]-code) | [i] | ✔ | |
| 11 | Linear OA(969, 90, F9, 47) (dual of [90, 21, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(974, 97, F9, 50) (dual of [97, 23, 51]-code) | [i] | ✔ | |
| 13 | Linear OA(968, 90, F9, 45) (dual of [90, 22, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(975, 99, F9, 50) (dual of [99, 24, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(972, 88, F9, 53) (dual of [88, 16, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(969, 85, F9, 52) (dual of [85, 16, 53]-code) | [i] | ✔ | |
| 17 | Linear OA(966, 82, F9, 51) (dual of [82, 16, 52]-code) | [i] | ✔ | |
| 18 | Linear OA(975, 100, F9, 50) (dual of [100, 25, 51]-code) | [i] | ✔ | |
| 19 | Linear OA(974, 98, F9, 50) (dual of [98, 24, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(973, 95, F9, 50) (dual of [95, 22, 51]-code) | [i] | ✔ | |
| 21 | Linear OA(969, 91, F9, 47) (dual of [91, 22, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(971, 91, F9, 50) (dual of [91, 20, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(970, 88, F9, 50) (dual of [88, 18, 51]-code) | [i] | ✔ | |
| 24 | Linear OA(978, 94, F9, 53) (dual of [94, 16, 54]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 25 | Linear OA(975, 91, F9, 52) (dual of [91, 16, 53]-code) | [i] | ✔ | |
| 26 | Linear OA(971, 91, F9, 49) (dual of [91, 20, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(969, 91, F9, 46) (dual of [91, 22, 47]-code) | [i] | ✔ | |
| 28 | Linear OOA(965, 40, F9, 2, 50) (dual of [(40, 2), 15, 51]-NRT-code) | [i] | OOA Folding | |