Information on Result #610704
Linear OA(714, 16, F7, 13) (dual of [16, 2, 14]-code), using repeating each code word 2 times based on linear OA(76, 8, F7, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,7)), using
- extended Reed–Solomon code RSe(2,7) [i]
- Simplex code S(2,7) [i]
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(713, 15, F7, 12) (dual of [15, 2, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(712, 14, F7, 11) (dual of [14, 2, 12]-code) | [i] | ||
| 3 | Linear OA(711, 13, F7, 10) (dual of [13, 2, 11]-code) | [i] | ||
| 4 | Linear OA(784, 359, F7, 27) (dual of [359, 275, 28]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(781, 359, F7, 26) (dual of [359, 278, 27]-code) | [i] | ||