Information on Result #614541
Linear OA(789, 2401, F7, 26) (dual of [2401, 2312, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(789, 2036, F7, 2, 26) (dual of [(2036, 2), 3983, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(789, 2036, F7, 3, 26) (dual of [(2036, 3), 6019, 27]-NRT-code) | [i] | ||
| 3 | Digital (63, 89, 2036)-net over F7 | [i] | ||
| 4 | Linear OA(793, 2405, F7, 27) (dual of [2405, 2312, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(789, 2405, F7, 26) (dual of [2405, 2316, 27]-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(790, 2410, F7, 26) (dual of [2410, 2320, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(7105, 2417, F7, 30) (dual of [2417, 2312, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(792, 2416, F7, 26) (dual of [2416, 2324, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(793, 2421, F7, 26) (dual of [2421, 2328, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(796, 2428, F7, 26) (dual of [2428, 2332, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(7100, 2436, F7, 26) (dual of [2436, 2336, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(7101, 2441, F7, 26) (dual of [2441, 2340, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(7110, 2419, F7, 31) (dual of [2419, 2309, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(7106, 2419, F7, 30) (dual of [2419, 2313, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(799, 2412, F7, 28) (dual of [2412, 2313, 29]-code) | [i] | ✔ | |
| 19 | Linear OA(791, 2412, F7, 26) (dual of [2412, 2321, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(795, 2424, F7, 26) (dual of [2424, 2329, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(799, 2434, F7, 26) (dual of [2434, 2335, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(798, 2432, F7, 26) (dual of [2432, 2334, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(797, 2430, F7, 26) (dual of [2430, 2333, 27]-code) | [i] | ✔ | |