Information on Result #614259
Linear OA(711, 49, F7, 6) (dual of [49, 38, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, 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.
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(714, 52, F7, 8) (dual of [52, 38, 9]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(711, 51, F7, 6) (dual of [51, 40, 7]-code) | [i] | ✔ | |
| 3 | Linear OA(716, 54, F7, 9) (dual of [54, 38, 10]-code) | [i] | ✔ | |
| 4 | Linear OA(719, 57, F7, 10) (dual of [57, 38, 11]-code) | [i] | ✔ | |