Information on Result #714500
Linear OA(831, 63, F8, 20) (dual of [63, 32, 21]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21
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 Expurgated 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(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(841, 82, F8, 21) (dual of [82, 41, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(839, 78, F8, 21) (dual of [78, 39, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(837, 74, F8, 21) (dual of [74, 37, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(842, 81, F8, 22) (dual of [81, 39, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(840, 77, F8, 22) (dual of [77, 37, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(843, 80, F8, 23) (dual of [80, 37, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(833, 67, F8, 21) (dual of [67, 34, 22]-code) | [i] | ✔ | |