Information on Result #714518
Linear OA(833, 63, F8, 21) (dual of [63, 30, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22
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]
- 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(888, 110, F8, 43) (dual of [110, 22, 44]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(887, 108, F8, 43) (dual of [108, 21, 44]-code) | [i] | ||
| 3 | Linear OA(886, 106, F8, 43) (dual of [106, 20, 44]-code) | [i] | ||
| 4 | Linear OA(885, 104, F8, 43) (dual of [104, 19, 44]-code) | [i] | ||
| 5 | Linear OOA(2258, 159, F2, 2, 87) (dual of [(159, 2), 60, 88]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 6 | Linear OOA(2255, 156, F2, 2, 87) (dual of [(156, 2), 57, 88]-NRT-code) | [i] | ||
| 7 | Linear OA(841, 83, F8, 21) (dual of [83, 42, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(840, 81, F8, 21) (dual of [81, 41, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(839, 79, F8, 21) (dual of [79, 40, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(838, 77, F8, 21) (dual of [77, 39, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(854, 91, F8, 28) (dual of [91, 37, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(835, 67, F8, 22) (dual of [67, 32, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(842, 76, F8, 24) (dual of [76, 34, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(841, 73, F8, 24) (dual of [73, 32, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(861, 96, F8, 31) (dual of [96, 35, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(860, 94, F8, 31) (dual of [94, 34, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(856, 90, F8, 30) (dual of [90, 34, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(859, 92, F8, 31) (dual of [92, 33, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(855, 87, F8, 30) (dual of [87, 32, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(858, 89, F8, 31) (dual of [89, 31, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(837, 67, F8, 23) (dual of [67, 30, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(840, 70, F8, 24) (dual of [70, 30, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(857, 87, F8, 31) (dual of [87, 30, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(861, 89, F8, 35) (dual of [89, 28, 36]-code) | [i] | ✔ | |
| 25 | Linear OA(858, 86, F8, 33) (dual of [86, 28, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(859, 86, F8, 34) (dual of [86, 27, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(860, 86, F8, 35) (dual of [86, 26, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(864, 92, F8, 36) (dual of [92, 28, 37]-code) | [i] | ✔ | |