Information on Result #610721
Linear OA(816, 18, F8, 15) (dual of [18, 2, 16]-code), using repeating each code word 2 times based on linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(2,8) [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(815, 17, F8, 14) (dual of [17, 2, 15]-code) | [i] | Truncation | |
| 2 | Linear OA(814, 16, F8, 13) (dual of [16, 2, 14]-code) | [i] | ||
| 3 | Linear OA(813, 15, F8, 12) (dual of [15, 2, 13]-code) | [i] | ||
| 4 | Linear OA(898, 530, F8, 31) (dual of [530, 432, 32]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(8152, 32786, F8, 31) (dual of [32786, 32634, 32]-code) | [i] | ||
| 6 | Linear OA(895, 530, F8, 30) (dual of [530, 435, 31]-code) | [i] | ||
| 7 | Linear OA(8147, 32786, F8, 30) (dual of [32786, 32639, 31]-code) | [i] | ||
| 8 | Linear OA(8173, 262162, F8, 30) (dual of [262162, 261989, 31]-code) | [i] | ||
| 9 | Linear OOA(2174, 90, F2, 2, 111) (dual of [(90, 2), 6, 112]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 10 | Linear OOA(2156, 54, F2, 3, 111) (dual of [(54, 3), 6, 112]-NRT-code) | [i] | ||
| 11 | Linear OOA(2210, 54, F2, 4, 159) (dual of [(54, 4), 6, 160]-NRT-code) | [i] | ||