Information on Result #684935
Linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(797, 1824, F7, 2, 29) (dual of [(1824, 2), 3551, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(797, 1824, F7, 3, 29) (dual of [(1824, 3), 5375, 30]-NRT-code) | [i] | ||
| 3 | Digital (68, 97, 1824)-net over F7 | [i] | ||
| 4 | Linear OA(7101, 2405, F7, 30) (dual of [2405, 2304, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(798, 2406, F7, 29) (dual of [2406, 2308, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(798, 2410, F7, 28) (dual of [2410, 2312, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(799, 2409, F7, 29) (dual of [2409, 2310, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(7100, 2412, F7, 29) (dual of [2412, 2312, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(7101, 2417, F7, 29) (dual of [2417, 2316, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(7103, 2423, F7, 29) (dual of [2423, 2320, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(7101, 2421, F7, 28) (dual of [2421, 2320, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(7104, 2428, F7, 29) (dual of [2428, 2324, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(7108, 2436, F7, 29) (dual of [2436, 2328, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(7104, 2432, F7, 28) (dual of [2432, 2328, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(7110, 2442, F7, 29) (dual of [2442, 2332, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(799, 2412, F7, 28) (dual of [2412, 2313, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(7102, 2419, F7, 29) (dual of [2419, 2317, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(7102, 2423, F7, 28) (dual of [2423, 2321, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(7107, 2434, F7, 29) (dual of [2434, 2327, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(7106, 2432, F7, 29) (dual of [2432, 2326, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(7105, 2430, F7, 29) (dual of [2430, 2325, 30]-code) | [i] | ✔ | |
| 22 | Linear OOA(797, 800, F7, 3, 29) (dual of [(800, 3), 2303, 30]-NRT-code) | [i] | OOA Folding | |