Information on Result #2248011
Linear OA(730, 16806, F7, 7) (dual of [16806, 16776, 8]-code), using 1 times truncation based on linear OA(731, 16807, F7, 8) (dual of [16807, 16776, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(733, 16814, F7, 7) (dual of [16814, 16781, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(734, 16856, F7, 7) (dual of [16856, 16822, 8]-code) | [i] | ||
| 3 | Linear OA(735, 16938, F7, 7) (dual of [16938, 16903, 8]-code) | [i] | ||
| 4 | Linear OOA(730, 16806, F7, 2, 7) (dual of [(16806, 2), 33582, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(730, 16806, F7, 3, 7) (dual of [(16806, 3), 50388, 8]-NRT-code) | [i] | ||
| 6 | Digital (23, 30, 16806)-net over F7 | [i] | ||
| 7 | Linear OA(735, 16822, F7, 7) (dual of [16822, 16787, 8]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OOA(730, 8403, F7, 2, 7) (dual of [(8403, 2), 16776, 8]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(730, 5602, F7, 3, 7) (dual of [(5602, 3), 16776, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(730, 5601, F7, 7, 7) (dual of [(5601, 7), 39177, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |