Information on Result #614527

Linear OA(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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:

ResultThis
result
only		Method
1Linear OA(797, 2414, F7, 25) (dual of [2414, 2317, 26]-code) [i](u, u+v)-Construction
2Linear OOA(785, 1904, F7, 2, 25) (dual of [(1904, 2), 3723, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(785, 1904, F7, 3, 25) (dual of [(1904, 3), 5627, 26]-NRT-code) [i]
4Digital (60, 85, 1904)-net over F7 [i]
5Linear OA(789, 2405, F7, 26) (dual of [2405, 2316, 27]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(785, 2405, F7, 25) (dual of [2405, 2320, 26]-code) [i]✔
7Linear OA(794, 2410, F7, 27) (dual of [2410, 2316, 28]-code) [i]✔
8Linear OA(786, 2410, F7, 25) (dual of [2410, 2324, 26]-code) [i]✔
9Linear OA(7101, 2417, F7, 29) (dual of [2417, 2316, 30]-code) [i]✔
10Linear OA(788, 2416, F7, 25) (dual of [2416, 2328, 26]-code) [i]✔
11Linear OA(7107, 2423, F7, 30) (dual of [2423, 2316, 31]-code) [i]✔
12Linear OA(791, 2423, F7, 25) (dual of [2423, 2332, 26]-code) [i]✔
13Linear OA(792, 2428, F7, 25) (dual of [2428, 2336, 26]-code) [i]✔
14Linear OA(796, 2436, F7, 25) (dual of [2436, 2340, 26]-code) [i]✔
15Linear OA(797, 2441, F7, 25) (dual of [2441, 2344, 26]-code) [i]✔
16Linear OA(7106, 2419, F7, 30) (dual of [2419, 2313, 31]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(799, 2412, F7, 28) (dual of [2412, 2313, 29]-code) [i]✔
18Linear OA(7102, 2419, F7, 29) (dual of [2419, 2317, 30]-code) [i]✔
19Linear OA(795, 2412, F7, 27) (dual of [2412, 2317, 28]-code) [i]✔
20Linear OA(787, 2412, F7, 25) (dual of [2412, 2325, 26]-code) [i]✔
21Linear OA(790, 2419, F7, 25) (dual of [2419, 2329, 26]-code) [i]✔
22Linear OA(795, 2434, F7, 25) (dual of [2434, 2339, 26]-code) [i]✔
23Linear OA(794, 2432, F7, 25) (dual of [2432, 2338, 26]-code) [i]✔
24Linear OA(793, 2430, F7, 25) (dual of [2430, 2337, 26]-code) [i]✔
25Linear OOA(785, 200, F7, 25, 25) (dual of [(200, 25), 4915, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row