Information on Result #614438

Linear OA(761, 2401, F7, 18) (dual of [2401, 2340, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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(761, 1664, F7, 2, 18) (dual of [(1664, 2), 3267, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(761, 1664, F7, 3, 18) (dual of [(1664, 3), 4931, 19]-NRT-code) [i]
3Digital (43, 61, 1664)-net over F7 [i]
4Linear OA(765, 2405, F7, 19) (dual of [2405, 2340, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(761, 2405, F7, 18) (dual of [2405, 2344, 19]-code) [i]✔
6Linear OA(770, 2410, F7, 20) (dual of [2410, 2340, 21]-code) [i]✔
7Linear OA(762, 2410, F7, 18) (dual of [2410, 2348, 19]-code) [i]✔
8Linear OA(777, 2417, F7, 22) (dual of [2417, 2340, 23]-code) [i]✔
9Linear OA(764, 2416, F7, 18) (dual of [2416, 2352, 19]-code) [i]✔
10Linear OA(783, 2423, F7, 23) (dual of [2423, 2340, 24]-code) [i]✔
11Linear OA(767, 2423, F7, 18) (dual of [2423, 2356, 19]-code) [i]✔
12Linear OA(788, 2428, F7, 24) (dual of [2428, 2340, 25]-code) [i]✔
13Linear OA(768, 2428, F7, 18) (dual of [2428, 2360, 19]-code) [i]✔
14Linear OA(796, 2436, F7, 25) (dual of [2436, 2340, 26]-code) [i]✔
15Linear OA(7101, 2441, F7, 26) (dual of [2441, 2340, 27]-code) [i]✔
16Linear OA(795, 2434, F7, 25) (dual of [2434, 2339, 26]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(794, 2432, F7, 25) (dual of [2432, 2338, 26]-code) [i]✔
18Linear OA(793, 2430, F7, 25) (dual of [2430, 2337, 26]-code) [i]✔
19Linear OA(791, 2434, F7, 24) (dual of [2434, 2343, 25]-code) [i]✔
20Linear OA(790, 2432, F7, 24) (dual of [2432, 2342, 25]-code) [i]✔
21Linear OA(789, 2430, F7, 24) (dual of [2430, 2341, 25]-code) [i]✔
22Linear OA(782, 2419, F7, 23) (dual of [2419, 2337, 24]-code) [i]✔
23Linear OA(778, 2419, F7, 22) (dual of [2419, 2341, 23]-code) [i]✔
24Linear OA(771, 2412, F7, 20) (dual of [2412, 2341, 21]-code) [i]✔
25Linear OA(763, 2412, F7, 18) (dual of [2412, 2349, 19]-code) [i]✔
26Linear OA(766, 2419, F7, 18) (dual of [2419, 2353, 19]-code) [i]✔
27Linear OA(769, 2430, F7, 18) (dual of [2430, 2361, 19]-code) [i]✔