Information on Result #690829
Linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using contraction based on linear OA(9136, 160, F9, 81) (dual of [160, 24, 82]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [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 Expurgated 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(9134, 156, F9, 81) (dual of [156, 22, 82]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9133, 154, F9, 81) (dual of [154, 21, 82]-code) | [i] | ||
| 3 | Linear OA(9132, 152, F9, 81) (dual of [152, 20, 82]-code) | [i] | ||
| 4 | Linear OA(9131, 150, F9, 81) (dual of [150, 19, 82]-code) | [i] | ||
| 5 | Linear OA(9130, 148, F9, 81) (dual of [148, 18, 82]-code) | [i] | ||
| 6 | Linear OA(9129, 146, F9, 81) (dual of [146, 17, 82]-code) | [i] | ||
| 7 | Linear OA(3192, 240, F3, 81) (dual of [240, 48, 82]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(3191, 237, F3, 81) (dual of [237, 46, 82]-code) | [i] | ||
| 9 | Linear OA(3190, 234, F3, 81) (dual of [234, 44, 82]-code) | [i] | ||
| 10 | Linear OA(3189, 231, F3, 81) (dual of [231, 42, 82]-code) | [i] | ||
| 11 | Linear OA(3188, 228, F3, 81) (dual of [228, 40, 82]-code) | [i] | ||
| 12 | Linear OA(3187, 225, F3, 81) (dual of [225, 38, 82]-code) | [i] | ||
| 13 | Linear OA(3186, 222, F3, 81) (dual of [222, 36, 82]-code) | [i] | ||
| 14 | Linear OA(3185, 219, F3, 81) (dual of [219, 34, 82]-code) | [i] | ||
| 15 | Linear OA(973, 97, F9, 49) (dual of [97, 24, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 16 | Linear OA(984, 108, F9, 53) (dual of [108, 24, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 17 | Linear OA(981, 105, F9, 52) (dual of [105, 24, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(976, 100, F9, 51) (dual of [100, 24, 52]-code) | [i] | ✔ | |
| 19 | Linear OA(974, 98, F9, 50) (dual of [98, 24, 51]-code) | [i] | ✔ | |
| 20 | Linear OA(965, 89, F9, 44) (dual of [89, 24, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(962, 86, F9, 43) (dual of [86, 24, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(959, 83, F9, 42) (dual of [83, 24, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(984, 109, F9, 52) (dual of [109, 25, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 24 | Linear OA(976, 101, F9, 50) (dual of [101, 25, 51]-code) | [i] | ✔ | |
| 25 | Linear OA(968, 91, F9, 45) (dual of [91, 23, 46]-code) | [i] | ✔ | |
| 26 | Linear OOA(956, 40, F9, 2, 40) (dual of [(40, 2), 24, 41]-NRT-code) | [i] | OOA Folding | |