Information on Result #2248672
Linear OA(784, 823543, F7, 14) (dual of [823543, 823459, 15]-code), using 1 times truncation based on linear OA(785, 823544, F7, 15) (dual of [823544, 823459, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [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 OOA(784, 617258, F7, 2, 14) (dual of [(617258, 2), 1234432, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(784, 617258, F7, 3, 14) (dual of [(617258, 3), 1851690, 15]-NRT-code) | [i] | ||
| 3 | Digital (70, 84, 617258)-net over F7 | [i] | ||
| 4 | Linear OA(794, 823555, F7, 14) (dual of [823555, 823461, 15]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(795, 823559, F7, 14) (dual of [823559, 823464, 15]-code) | [i] | ||
| 6 | Linear OOA(784, 411771, F7, 2, 14) (dual of [(411771, 2), 823458, 15]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(784, 274514, F7, 3, 14) (dual of [(274514, 3), 823458, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(784, 117649, F7, 14, 14) (dual of [(117649, 14), 1647002, 15]-NRT-code) | [i] | OA Folding and Stacking | |