Information on Result #690827
Linear OA(955, 80, F9, 39) (dual of [80, 25, 40]-code), using contraction based on linear OA(9135, 160, F9, 79) (dual of [160, 25, 80]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(955, 80, F9, 38) (dual of [80, 25, 39]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(955, 80, F9, 37) (dual of [80, 25, 38]-code) | [i] | ||
| 3 | Linear OA(955, 80, F9, 36) (dual of [80, 25, 37]-code) | [i] | ||
| 4 | Linear OA(9132, 154, F9, 79) (dual of [154, 22, 80]-code) | [i] | Repeating Each Code Word | |
| 5 | Linear OA(9131, 152, F9, 79) (dual of [152, 21, 80]-code) | [i] | ||
| 6 | Linear OA(9130, 150, F9, 79) (dual of [150, 20, 80]-code) | [i] | ||
| 7 | Linear OA(9129, 148, F9, 79) (dual of [148, 19, 80]-code) | [i] | ||
| 8 | Linear OA(9128, 146, F9, 79) (dual of [146, 18, 80]-code) | [i] | ||
| 9 | Linear OA(9127, 144, F9, 79) (dual of [144, 17, 80]-code) | [i] | ||
| 10 | Linear OA(3190, 240, F3, 79) (dual of [240, 50, 80]-code) | [i] | Concatenation of Two Codes | |
| 11 | Linear OA(3189, 237, F3, 79) (dual of [237, 48, 80]-code) | [i] | ||
| 12 | Linear OA(3188, 234, F3, 79) (dual of [234, 46, 80]-code) | [i] | ||
| 13 | Linear OA(3187, 231, F3, 79) (dual of [231, 44, 80]-code) | [i] | ||
| 14 | Linear OA(3186, 228, F3, 79) (dual of [228, 42, 80]-code) | [i] | ||
| 15 | Linear OA(3185, 225, F3, 79) (dual of [225, 40, 80]-code) | [i] | ||
| 16 | Linear OA(3184, 222, F3, 79) (dual of [222, 38, 80]-code) | [i] | ||
| 17 | Linear OA(3183, 219, F3, 79) (dual of [219, 36, 80]-code) | [i] | ||
| 18 | Linear OA(3182, 216, F3, 79) (dual of [216, 34, 80]-code) | [i] | ||
| 19 | Linear OA(962, 87, F9, 42) (dual of [87, 25, 43]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 20 | Linear OA(965, 90, F9, 43) (dual of [90, 25, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(974, 99, F9, 49) (dual of [99, 25, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(978, 103, F9, 50) (dual of [103, 25, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(981, 106, F9, 51) (dual of [106, 25, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(985, 110, F9, 52) (dual of [110, 25, 53]-code) | [i] | ✔ | |
| 25 | Linear OA(989, 114, F9, 53) (dual of [114, 25, 54]-code) | [i] | ✔ | |
| 26 | Linear OA(983, 108, F9, 52) (dual of [108, 25, 53]-code) | [i] | ✔ | |
| 27 | Linear OA(980, 105, F9, 51) (dual of [105, 25, 52]-code) | [i] | ✔ | |
| 28 | Linear OA(968, 93, F9, 44) (dual of [93, 25, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(964, 89, F9, 43) (dual of [89, 25, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(961, 86, F9, 42) (dual of [86, 25, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(986, 111, F9, 53) (dual of [111, 25, 54]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 32 | Linear OA(982, 107, F9, 52) (dual of [107, 25, 53]-code) | [i] | ✔ | |
| 33 | Linear OA(979, 104, F9, 51) (dual of [104, 25, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(975, 100, F9, 50) (dual of [100, 25, 51]-code) | [i] | ✔ | |
| 35 | Linear OA(966, 91, F9, 44) (dual of [91, 25, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(963, 88, F9, 43) (dual of [88, 25, 44]-code) | [i] | ✔ | |
| 37 | Linear OA(960, 85, F9, 42) (dual of [85, 25, 43]-code) | [i] | ✔ | |
| 38 | Linear OA(984, 109, F9, 52) (dual of [109, 25, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 39 | Linear OA(976, 101, F9, 50) (dual of [101, 25, 51]-code) | [i] | ✔ | |
| 40 | Linear OA(988, 113, F9, 53) (dual of [113, 25, 54]-code) | [i] | ✔ | |
| 41 | Linear OOA(955, 40, F9, 2, 39) (dual of [(40, 2), 25, 40]-NRT-code) | [i] | OOA Folding | |