Information on Result #717979
Linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41
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
- Contraction (with Expurgated Narrow-Sense BCH-Code) (hidden) [i]
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive 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(975, 118, F9, 40) (dual of [118, 43, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 16 | Linear OA(974, 115, F9, 40) (dual of [115, 41, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(973, 112, F9, 40) (dual of [112, 39, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(971, 108, F9, 40) (dual of [108, 37, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(974, 117, F9, 40) (dual of [117, 43, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(973, 114, F9, 40) (dual of [114, 41, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(972, 111, F9, 40) (dual of [111, 39, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(970, 107, F9, 40) (dual of [107, 37, 41]-code) | [i] | ✔ | |
| 23 | Linear OA(966, 94, F9, 42) (dual of [94, 28, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(986, 120, F9, 50) (dual of [120, 34, 51]-code) | [i] | ✔ | |
| 25 | Linear OA(985, 118, F9, 50) (dual of [118, 33, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code) | [i] | ✔ | |
| 27 | Linear OA(984, 115, F9, 50) (dual of [115, 31, 51]-code) | [i] | ✔ | |
| 28 | Linear OA(990, 124, F9, 51) (dual of [124, 34, 52]-code) | [i] | ✔ | |
| 29 | Linear OA(989, 122, F9, 51) (dual of [122, 33, 52]-code) | [i] | ✔ | |
| 30 | Linear OA(988, 119, F9, 51) (dual of [119, 31, 52]-code) | [i] | ✔ | |
| 31 | Linear OA(984, 116, F9, 50) (dual of [116, 32, 51]-code) | [i] | ✔ | |
| 32 | Linear OA(981, 111, F9, 49) (dual of [111, 30, 50]-code) | [i] | ✔ | |
| 33 | Linear OA(977, 107, F9, 46) (dual of [107, 30, 47]-code) | [i] | ✔ | |
| 34 | Linear OA(983, 112, F9, 50) (dual of [112, 29, 51]-code) | [i] | ✔ | |
| 35 | Linear OA(993, 127, F9, 52) (dual of [127, 34, 53]-code) | [i] | ✔ | |
| 36 | Linear OA(992, 125, F9, 52) (dual of [125, 33, 53]-code) | [i] | ✔ | |
| 37 | Linear OA(983, 113, F9, 50) (dual of [113, 30, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(979, 107, F9, 49) (dual of [107, 28, 50]-code) | [i] | ✔ | |
| 39 | Linear OA(982, 110, F9, 50) (dual of [110, 28, 51]-code) | [i] | ✔ | |
| 40 | Linear OA(981, 108, F9, 50) (dual of [108, 27, 51]-code) | [i] | ✔ | |
| 41 | Linear OA(991, 122, F9, 52) (dual of [122, 31, 53]-code) | [i] | ✔ | |
| 42 | Linear OA(981, 109, F9, 50) (dual of [109, 28, 51]-code) | [i] | ✔ | |
| 43 | Linear OA(978, 104, F9, 49) (dual of [104, 26, 50]-code) | [i] | ✔ | |
| 44 | Linear OA(986, 114, F9, 51) (dual of [114, 28, 52]-code) | [i] | ✔ | |
| 45 | Linear OA(990, 119, F9, 52) (dual of [119, 29, 53]-code) | [i] | ✔ | |
| 46 | Linear OA(989, 117, F9, 52) (dual of [117, 28, 53]-code) | [i] | ✔ | |
| 47 | Linear OA(979, 103, F9, 52) (dual of [103, 24, 53]-code) | [i] | ✔ | |
| 48 | Linear OA(987, 111, F9, 54) (dual of [111, 24, 55]-code) | [i] | ✔ | |
| 49 | Linear OA(982, 106, F9, 53) (dual of [106, 24, 54]-code) | [i] | ✔ | |
| 50 | Linear OA(990, 114, F9, 55) (dual of [114, 24, 56]-code) | [i] | ✔ | |
| 51 | Linear OA(9103, 125, F9, 63) (dual of [125, 22, 64]-code) | [i] | ✔ | |
| 52 | Linear OA(9107, 128, F9, 66) (dual of [128, 21, 67]-code) | [i] | ✔ | |
| 53 | Linear OA(9105, 126, F9, 65) (dual of [126, 21, 66]-code) | [i] | ✔ | |
| 54 | Linear OA(9103, 124, F9, 64) (dual of [124, 21, 65]-code) | [i] | ✔ | |
| 55 | Linear OA(9105, 125, F9, 66) (dual of [125, 20, 67]-code) | [i] | ✔ | |
| 56 | Linear OA(9103, 123, F9, 65) (dual of [123, 20, 66]-code) | [i] | ✔ | |
| 57 | Linear OA(9106, 125, F9, 67) (dual of [125, 19, 68]-code) | [i] | ✔ | |
| 58 | Linear OA(9104, 123, F9, 66) (dual of [123, 19, 67]-code) | [i] | ✔ | |
| 59 | Linear OOA(956, 40, F9, 2, 40) (dual of [(40, 2), 24, 41]-NRT-code) | [i] | OOA Folding | |