Information on Result #714821
Linear OA(856, 63, F8, 46) (dual of [63, 7, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8119, 126, F8, 93) (dual of [126, 7, 94]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8118, 124, F8, 93) (dual of [124, 6, 94]-code) | [i] | ||
| 3 | Linear OA(8101, 108, F8, 76) (dual of [108, 7, 77]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(8129, 136, F8, 101) (dual of [136, 7, 102]-code) | [i] | ||
| 5 | Linear OA(8121, 128, F8, 94) (dual of [128, 7, 95]-code) | [i] | ||
| 6 | Linear OA(8142, 149, F8, 110) (dual of [149, 7, 111]-code) | [i] | ||
| 7 | Linear OA(8173, 180, F8, 137) (dual of [180, 7, 138]-code) | [i] | ||
| 8 | Linear OA(8132, 139, F8, 104) (dual of [139, 7, 105]-code) | [i] | ||
| 9 | Linear OA(8173, 179, F8, 142) (dual of [179, 6, 143]-code) | [i] | ||
| 10 | Linear OA(877, 98, F8, 46) (dual of [98, 21, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(876, 96, F8, 46) (dual of [96, 20, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(876, 97, F8, 46) (dual of [97, 21, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(875, 94, F8, 46) (dual of [94, 19, 47]-code) | [i] | ✔ | |
| 14 | Linear OA(874, 93, F8, 46) (dual of [93, 19, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(873, 91, F8, 46) (dual of [91, 18, 47]-code) | [i] | ✔ | |
| 16 | Linear OA(879, 91, F8, 55) (dual of [91, 12, 56]-code) | [i] | ✔ | |