Information on Result #686457
Linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(844, 262151, F8, 9) (dual of [262151, 262107, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(837, 262150, F8, 7) (dual of [262150, 262113, 8]-code) | [i] | ✔ | |
| 3 | Linear OA(851, 262153, F8, 10) (dual of [262153, 262102, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(852, 262159, F8, 10) (dual of [262159, 262107, 11]-code) | [i] | ✔ | |
| 5 | Linear OA(859, 262166, F8, 11) (dual of [262166, 262107, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(867, 262174, F8, 12) (dual of [262174, 262107, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(873, 262175, F8, 13) (dual of [262175, 262102, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(866, 262168, F8, 12) (dual of [262168, 262102, 13]-code) | [i] | ✔ | |
| 9 | Linear OA(860, 262168, F8, 11) (dual of [262168, 262108, 12]-code) | [i] | ✔ | |