Information on Result #2248309
Linear OA(748, 2401, F7, 14) (dual of [2401, 2353, 15]-code), using 1 times truncation based on linear OA(749, 2402, F7, 15) (dual of [2402, 2353, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 78−1, 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(748, 1793, F7, 2, 14) (dual of [(1793, 2), 3538, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(748, 1793, F7, 3, 14) (dual of [(1793, 3), 5331, 15]-NRT-code) | [i] | ||
| 3 | Digital (34, 48, 1793)-net over F7 | [i] | ||
| 4 | Linear OA(751, 2441, F7, 14) (dual of [2441, 2390, 15]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(752, 2540, F7, 14) (dual of [2540, 2488, 15]-code) | [i] | ||
| 6 | Linear OA(753, 2753, F7, 14) (dual of [2753, 2700, 15]-code) | [i] | ||
| 7 | Linear OOA(748, 1200, F7, 2, 14) (dual of [(1200, 2), 2352, 15]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(748, 800, F7, 3, 14) (dual of [(800, 3), 2352, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(748, 343, F7, 14, 14) (dual of [(343, 14), 4754, 15]-NRT-code) | [i] | OA Folding and Stacking | |