Information on Result #714668
Linear OA(844, 63, F8, 30) (dual of [63, 19, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31
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]
- 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(8107, 126, F8, 61) (dual of [126, 19, 62]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(8106, 124, F8, 61) (dual of [124, 18, 62]-code) | [i] | ||
| 3 | Linear OA(8105, 122, F8, 61) (dual of [122, 17, 62]-code) | [i] | ||
| 4 | Linear OA(853, 84, F8, 30) (dual of [84, 31, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(852, 82, F8, 30) (dual of [82, 30, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(850, 77, F8, 30) (dual of [77, 27, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(849, 75, F8, 30) (dual of [75, 26, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(869, 93, F8, 40) (dual of [93, 24, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(868, 91, F8, 40) (dual of [91, 23, 41]-code) | [i] | ✔ | |
| 10 | Linear OA(867, 84, F8, 44) (dual of [84, 17, 45]-code) | [i] | ✔ | |