Information on Result #614466

Linear OA(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20

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 OOA(769, 1951, F7, 2, 20) (dual of [(1951, 2), 3833, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(769, 1951, F7, 3, 20) (dual of [(1951, 3), 5784, 21]-NRT-code) [i]
3Digital (49, 69, 1951)-net over F7 [i]
4Linear OA(774, 2406, F7, 22) (dual of [2406, 2332, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(769, 2405, F7, 20) (dual of [2405, 2336, 21]-code) [i]✔
6Linear OA(779, 2409, F7, 23) (dual of [2409, 2330, 24]-code) [i]✔
7Linear OA(780, 2412, F7, 23) (dual of [2412, 2332, 24]-code) [i]✔
8Linear OA(770, 2410, F7, 20) (dual of [2410, 2340, 21]-code) [i]✔
9Linear OA(785, 2417, F7, 24) (dual of [2417, 2332, 25]-code) [i]✔
10Linear OA(772, 2416, F7, 20) (dual of [2416, 2344, 21]-code) [i]✔
11Linear OA(791, 2423, F7, 25) (dual of [2423, 2332, 26]-code) [i]✔
12Linear OA(773, 2421, F7, 20) (dual of [2421, 2348, 21]-code) [i]✔
13Linear OA(796, 2428, F7, 26) (dual of [2428, 2332, 27]-code) [i]✔
14Linear OA(775, 2427, F7, 20) (dual of [2427, 2352, 21]-code) [i]✔
15Linear OA(7104, 2436, F7, 27) (dual of [2436, 2332, 28]-code) [i]✔
16Linear OA(7110, 2442, F7, 29) (dual of [2442, 2332, 30]-code) [i]✔
17Linear OA(7103, 2434, F7, 27) (dual of [2434, 2331, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(7102, 2432, F7, 27) (dual of [2432, 2330, 28]-code) [i]✔
19Linear OA(7101, 2430, F7, 27) (dual of [2430, 2329, 28]-code) [i]✔
20Linear OA(795, 2424, F7, 26) (dual of [2424, 2329, 27]-code) [i]✔
21Linear OA(799, 2434, F7, 26) (dual of [2434, 2335, 27]-code) [i]✔
22Linear OA(798, 2432, F7, 26) (dual of [2432, 2334, 27]-code) [i]✔
23Linear OA(797, 2430, F7, 26) (dual of [2430, 2333, 27]-code) [i]✔
24Linear OA(790, 2419, F7, 25) (dual of [2419, 2329, 26]-code) [i]✔
25Linear OA(784, 2413, F7, 24) (dual of [2413, 2329, 25]-code) [i]✔
26Linear OA(786, 2419, F7, 24) (dual of [2419, 2333, 25]-code) [i]✔
27Linear OA(771, 2412, F7, 20) (dual of [2412, 2341, 21]-code) [i]✔
28Linear OA(774, 2423, F7, 20) (dual of [2423, 2349, 21]-code) [i]✔
29Linear OA(777, 2430, F7, 20) (dual of [2430, 2353, 21]-code) [i]✔
30Linear OOA(769, 240, F7, 20, 20) (dual of [(240, 20), 4731, 21]-NRT-code) [i]OA Folding and Stacking