Information on Result #714691
Linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {9,10,…,35}, and designed minimum distance d ≥ |I|+1 = 28
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- 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(8102, 126, F8, 55) (dual of [126, 24, 56]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8101, 124, F8, 55) (dual of [124, 23, 56]-code) | [i] | ||
| 3 | Linear OA(8100, 122, F8, 55) (dual of [122, 22, 56]-code) | [i] | ||
| 4 | Linear OA(899, 120, F8, 55) (dual of [120, 21, 56]-code) | [i] | ||
| 5 | Linear OA(898, 118, F8, 55) (dual of [118, 20, 56]-code) | [i] | ||
| 6 | Linear OA(897, 116, F8, 55) (dual of [116, 19, 56]-code) | [i] | ||
| 7 | Linear OA(896, 114, F8, 55) (dual of [114, 18, 56]-code) | [i] | ||
| 8 | Linear OA(895, 112, F8, 55) (dual of [112, 17, 56]-code) | [i] | ||
| 9 | Linear OA(894, 110, F8, 55) (dual of [110, 16, 56]-code) | [i] | ||
| 10 | Linear OA(893, 108, F8, 55) (dual of [108, 15, 56]-code) | [i] | ||
| 11 | Linear OA(892, 106, F8, 55) (dual of [106, 14, 56]-code) | [i] | ||
| 12 | Linear OA(891, 104, F8, 55) (dual of [104, 13, 56]-code) | [i] | ||
| 13 | Linear OA(890, 102, F8, 55) (dual of [102, 12, 56]-code) | [i] | ||
| 14 | Linear OA(889, 100, F8, 55) (dual of [100, 11, 56]-code) | [i] | ||
| 15 | Linear OA(2176, 236, F2, 55) (dual of [236, 60, 56]-code) | [i] | Concatenation of Two Codes | |
| 16 | Linear OA(2175, 232, F2, 55) (dual of [232, 57, 56]-code) | [i] | ||
| 17 | Linear OA(2174, 228, F2, 55) (dual of [228, 54, 56]-code) | [i] | ||
| 18 | Linear OA(2173, 224, F2, 55) (dual of [224, 51, 56]-code) | [i] | ||
| 19 | Linear OA(2172, 220, F2, 55) (dual of [220, 48, 56]-code) | [i] | ||
| 20 | Linear OA(2171, 216, F2, 55) (dual of [216, 45, 56]-code) | [i] | ||
| 21 | Linear OA(2170, 212, F2, 55) (dual of [212, 42, 56]-code) | [i] | ||
| 22 | Linear OA(2169, 208, F2, 55) (dual of [208, 39, 56]-code) | [i] | ||
| 23 | Linear OA(2168, 204, F2, 55) (dual of [204, 36, 56]-code) | [i] | ||
| 24 | Linear OA(867, 100, F8, 35) (dual of [100, 33, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 25 | Linear OA(864, 97, F8, 33) (dual of [97, 33, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(865, 97, F8, 34) (dual of [97, 32, 35]-code) | [i] | ✔ | |
| 27 | Linear OA(866, 97, F8, 35) (dual of [97, 31, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(863, 94, F8, 33) (dual of [94, 31, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(864, 94, F8, 34) (dual of [94, 30, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(865, 94, F8, 35) (dual of [94, 29, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(876, 100, F8, 44) (dual of [100, 24, 45]-code) | [i] | ✔ | |
| 32 | Linear OA(872, 94, F8, 44) (dual of [94, 22, 45]-code) | [i] | ✔ | |
| 33 | Linear OA(869, 91, F8, 42) (dual of [91, 22, 43]-code) | [i] | ✔ | |
| 34 | Linear OA(870, 91, F8, 43) (dual of [91, 21, 44]-code) | [i] | ✔ | |
| 35 | Linear OA(871, 91, F8, 44) (dual of [91, 20, 45]-code) | [i] | ✔ | |
| 36 | Linear OA(875, 97, F8, 45) (dual of [97, 22, 46]-code) | [i] | ✔ | |
| 37 | Linear OA(874, 94, F8, 45) (dual of [94, 20, 46]-code) | [i] | ✔ | |
| 38 | Linear OA(878, 100, F8, 46) (dual of [100, 22, 47]-code) | [i] | ✔ | |