Information on Result #2248593
Linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using 1 times truncation based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(772, 1890, F7, 2, 21) (dual of [(1890, 2), 3708, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(772, 1890, F7, 3, 21) (dual of [(1890, 3), 5598, 22]-NRT-code) | [i] | ||
| 3 | Digital (51, 72, 1890)-net over F7 | [i] | ||
| 4 | Linear OA(775, 2427, F7, 21) (dual of [2427, 2352, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(776, 2479, F7, 21) (dual of [2479, 2403, 22]-code) | [i] | ||
| 6 | Linear OA(777, 2589, F7, 21) (dual of [2589, 2512, 22]-code) | [i] | ||
| 7 | Linear OA(778, 2778, F7, 21) (dual of [2778, 2700, 22]-code) | [i] | ||
| 8 | Linear OA(779, 3033, F7, 21) (dual of [3033, 2954, 22]-code) | [i] | ||
| 9 | Linear OA(780, 3335, F7, 21) (dual of [3335, 3255, 22]-code) | [i] | ||
| 10 | Linear OOA(772, 1200, F7, 2, 21) (dual of [(1200, 2), 2328, 22]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(772, 800, F7, 3, 21) (dual of [(800, 3), 2328, 22]-NRT-code) | [i] | ||
| 12 | Linear OOA(772, 239, F7, 21, 21) (dual of [(239, 21), 4947, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |