Information on Result #614808
Linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(837, 262150, F8, 7) (dual of [262150, 262113, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(831, 262150, F8, 6) (dual of [262150, 262119, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(845, 262153, F8, 9) (dual of [262153, 262108, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(846, 262159, F8, 9) (dual of [262159, 262113, 10]-code) | [i] | ✔ | |
| 5 | Linear OA(853, 262166, F8, 10) (dual of [262166, 262113, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(861, 262174, F8, 11) (dual of [262174, 262113, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(860, 262168, F8, 11) (dual of [262168, 262108, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(854, 262168, F8, 10) (dual of [262168, 262114, 11]-code) | [i] | ✔ | |