Information on Result #714488
Linear OA(831, 63, F8, 20) (dual of [63, 32, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21
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
- 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(890, 118, F8, 41) (dual of [118, 28, 42]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(889, 116, F8, 41) (dual of [116, 27, 42]-code) | [i] | ||
| 3 | Linear OA(886, 110, F8, 41) (dual of [110, 24, 42]-code) | [i] | ||
| 4 | Linear OA(885, 108, F8, 41) (dual of [108, 23, 42]-code) | [i] | ||
| 5 | Linear OA(884, 106, F8, 41) (dual of [106, 22, 42]-code) | [i] | ||
| 6 | Linear OA(883, 104, F8, 41) (dual of [104, 21, 42]-code) | [i] | ||
| 7 | Linear OOA(2249, 156, F2, 2, 83) (dual of [(156, 2), 63, 84]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 8 | Linear OOA(2243, 150, F2, 2, 83) (dual of [(150, 2), 57, 84]-NRT-code) | [i] | ||
| 9 | Linear OA(839, 82, F8, 20) (dual of [82, 43, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(838, 80, F8, 20) (dual of [80, 42, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(837, 78, F8, 20) (dual of [78, 41, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(836, 76, F8, 20) (dual of [76, 40, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(835, 74, F8, 20) (dual of [74, 39, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(834, 71, F8, 20) (dual of [71, 37, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(853, 91, F8, 27) (dual of [91, 38, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(833, 67, F8, 21) (dual of [67, 34, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(836, 70, F8, 22) (dual of [70, 34, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(843, 77, F8, 24) (dual of [77, 34, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(839, 73, F8, 23) (dual of [73, 34, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(842, 75, F8, 24) (dual of [75, 33, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(858, 93, F8, 30) (dual of [93, 35, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(857, 91, F8, 30) (dual of [91, 34, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(853, 87, F8, 29) (dual of [87, 34, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(856, 89, F8, 30) (dual of [89, 33, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(835, 67, F8, 22) (dual of [67, 32, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(841, 73, F8, 24) (dual of [73, 32, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(855, 87, F8, 30) (dual of [87, 32, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(858, 89, F8, 31) (dual of [89, 31, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(858, 90, F8, 31) (dual of [90, 32, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(861, 92, F8, 32) (dual of [92, 31, 33]-code) | [i] | ✔ | |
| 31 | Linear OA(863, 93, F8, 35) (dual of [93, 30, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(860, 90, F8, 33) (dual of [90, 30, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(861, 90, F8, 34) (dual of [90, 29, 35]-code) | [i] | ✔ | |
| 34 | Linear OA(862, 90, F8, 35) (dual of [90, 28, 36]-code) | [i] | ✔ | |
| 35 | Linear OA(866, 96, F8, 36) (dual of [96, 30, 37]-code) | [i] | ✔ | |