Information on Result #717987
Linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42
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]
- 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(9136, 158, F9, 83) (dual of [158, 22, 84]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9135, 156, F9, 83) (dual of [156, 21, 84]-code) | [i] | ||
| 3 | Linear OA(9134, 154, F9, 83) (dual of [154, 20, 84]-code) | [i] | ||
| 4 | Linear OA(9133, 152, F9, 83) (dual of [152, 19, 84]-code) | [i] | ||
| 5 | Linear OA(9132, 150, F9, 83) (dual of [150, 18, 84]-code) | [i] | ||
| 6 | Linear OA(9131, 148, F9, 83) (dual of [148, 17, 84]-code) | [i] | ||
| 7 | Linear OA(3194, 240, F3, 83) (dual of [240, 46, 84]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(3193, 237, F3, 83) (dual of [237, 44, 84]-code) | [i] | ||
| 9 | Linear OA(3192, 234, F3, 83) (dual of [234, 42, 84]-code) | [i] | ||
| 10 | Linear OA(3191, 231, F3, 83) (dual of [231, 40, 84]-code) | [i] | ||
| 11 | Linear OA(3190, 228, F3, 83) (dual of [228, 38, 84]-code) | [i] | ||
| 12 | Linear OA(3189, 225, F3, 83) (dual of [225, 36, 84]-code) | [i] | ||
| 13 | Linear OA(3188, 222, F3, 83) (dual of [222, 34, 84]-code) | [i] | ||
| 14 | Linear OA(980, 125, F9, 41) (dual of [125, 45, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 15 | Linear OA(979, 123, F9, 41) (dual of [123, 44, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(978, 120, F9, 41) (dual of [120, 42, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(976, 115, F9, 41) (dual of [115, 39, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(978, 121, F9, 41) (dual of [121, 43, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(976, 118, F9, 41) (dual of [118, 42, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(975, 115, F9, 41) (dual of [115, 40, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(974, 112, F9, 41) (dual of [112, 38, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(975, 116, F9, 41) (dual of [116, 41, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(974, 113, F9, 41) (dual of [113, 39, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(968, 100, F9, 42) (dual of [100, 32, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(967, 97, F9, 42) (dual of [97, 30, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(965, 92, F9, 42) (dual of [92, 27, 43]-code) | [i] | ✔ | |
| 27 | Linear OA(964, 90, F9, 42) (dual of [90, 26, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(968, 95, F9, 43) (dual of [95, 27, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(967, 93, F9, 43) (dual of [93, 26, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(971, 98, F9, 44) (dual of [98, 27, 45]-code) | [i] | ✔ | |
| 31 | Linear OA(970, 96, F9, 44) (dual of [96, 26, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(987, 120, F9, 51) (dual of [120, 33, 52]-code) | [i] | ✔ | |
| 33 | Linear OA(986, 118, F9, 51) (dual of [118, 32, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(985, 115, F9, 51) (dual of [115, 30, 52]-code) | [i] | ✔ | |
| 35 | Linear OA(991, 123, F9, 52) (dual of [123, 32, 53]-code) | [i] | ✔ | |
| 36 | Linear OA(984, 112, F9, 51) (dual of [112, 28, 52]-code) | [i] | ✔ | |
| 37 | Linear OA(990, 120, F9, 52) (dual of [120, 30, 53]-code) | [i] | ✔ | |
| 38 | Linear OA(983, 110, F9, 51) (dual of [110, 27, 52]-code) | [i] | ✔ | |
| 39 | Linear OA(982, 108, F9, 51) (dual of [108, 26, 52]-code) | [i] | ✔ | |
| 40 | Linear OA(991, 118, F9, 53) (dual of [118, 27, 54]-code) | [i] | ✔ | |
| 41 | Linear OA(990, 116, F9, 53) (dual of [116, 26, 54]-code) | [i] | ✔ | |
| 42 | Linear OA(961, 84, F9, 43) (dual of [84, 23, 44]-code) | [i] | ✔ | |
| 43 | Linear OA(964, 87, F9, 44) (dual of [87, 23, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(967, 90, F9, 45) (dual of [90, 23, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(978, 101, F9, 52) (dual of [101, 23, 53]-code) | [i] | ✔ | |
| 46 | Linear OA(983, 106, F9, 53) (dual of [106, 23, 54]-code) | [i] | ✔ | |
| 47 | Linear OA(986, 109, F9, 54) (dual of [109, 23, 55]-code) | [i] | ✔ | |
| 48 | Linear OA(981, 104, F9, 53) (dual of [104, 23, 54]-code) | [i] | ✔ | |
| 49 | Linear OA(989, 110, F9, 59) (dual of [110, 21, 60]-code) | [i] | ✔ | |
| 50 | Linear OA(984, 105, F9, 55) (dual of [105, 21, 56]-code) | [i] | ✔ | |
| 51 | Linear OA(991, 112, F9, 60) (dual of [112, 21, 61]-code) | [i] | ✔ | |
| 52 | Linear OA(9102, 121, F9, 65) (dual of [121, 19, 66]-code) | [i] | ✔ | |
| 53 | Linear OA(999, 118, F9, 63) (dual of [118, 19, 64]-code) | [i] | ✔ | |
| 54 | Linear OA(9103, 121, F9, 66) (dual of [121, 18, 67]-code) | [i] | ✔ | |
| 55 | Linear OA(9100, 118, F9, 64) (dual of [118, 18, 65]-code) | [i] | ✔ | |
| 56 | Linear OA(9104, 121, F9, 67) (dual of [121, 17, 68]-code) | [i] | ✔ | |
| 57 | Linear OA(9101, 118, F9, 65) (dual of [118, 17, 66]-code) | [i] | ✔ | |