Information on Result #614878
Linear OA(822, 64, F8, 13) (dual of [64, 42, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8138, 32832, F8, 27) (dual of [32832, 32694, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8149, 577, F8, 47) (dual of [577, 428, 48]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(824, 66, F8, 14) (dual of [66, 42, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(822, 66, F8, 13) (dual of [66, 44, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(827, 69, F8, 15) (dual of [69, 42, 16]-code) | [i] | ✔ | |
| 6 | Linear OA(823, 69, F8, 13) (dual of [69, 46, 14]-code) | [i] | ✔ | |
| 7 | Linear OA(832, 73, F8, 18) (dual of [73, 41, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(833, 75, F8, 18) (dual of [75, 42, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(831, 73, F8, 17) (dual of [73, 42, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(824, 72, F8, 13) (dual of [72, 48, 14]-code) | [i] | ✔ | |
| 11 | Linear OA(835, 77, F8, 19) (dual of [77, 42, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(825, 74, F8, 13) (dual of [74, 49, 14]-code) | [i] | ✔ | |
| 13 | Linear OA(839, 81, F8, 20) (dual of [81, 42, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(838, 79, F8, 20) (dual of [79, 41, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(836, 79, F8, 19) (dual of [79, 43, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(832, 75, F8, 17) (dual of [75, 43, 18]-code) | [i] | ✔ | |