Information on Result #614289
Linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(784, 16857, F7, 17) (dual of [16857, 16773, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(784, 16861, F7, 17) (dual of [16861, 16777, 18]-code) | [i] | ||
| 3 | Linear OA(7104, 16856, F7, 21) (dual of [16856, 16752, 22]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(799, 16856, F7, 20) (dual of [16856, 16757, 21]-code) | [i] | ||
| 5 | Linear OA(794, 16856, F7, 19) (dual of [16856, 16762, 20]-code) | [i] | ||
| 6 | Linear OA(789, 16856, F7, 18) (dual of [16856, 16767, 19]-code) | [i] | ||
| 7 | Linear OA(714, 50, F7, 9) (dual of [50, 36, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(714, 52, F7, 8) (dual of [52, 38, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(717, 53, F7, 10) (dual of [53, 36, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(715, 55, F7, 8) (dual of [55, 40, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(720, 56, F7, 11) (dual of [56, 36, 12]-code) | [i] | ✔ | |