Information on Result #714746
Linear OA(851, 63, F8, 38) (dual of [63, 12, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8114, 126, F8, 77) (dual of [126, 12, 78]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(869, 96, F8, 38) (dual of [96, 27, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(868, 94, F8, 38) (dual of [94, 26, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(861, 83, F8, 38) (dual of [83, 22, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(860, 81, F8, 38) (dual of [81, 21, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(873, 91, F8, 46) (dual of [91, 18, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(869, 84, F8, 47) (dual of [84, 15, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(868, 82, F8, 47) (dual of [82, 14, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(870, 80, F8, 51) (dual of [80, 10, 52]-code) | [i] | ✔ | |