Information on Result #614310

Linear OA(733, 2401, F7, 10) (dual of [2401, 2368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10

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(733, 1502, F7, 2, 10) (dual of [(1502, 2), 2971, 11]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(733, 1502, F7, 3, 10) (dual of [(1502, 3), 4473, 11]-NRT-code) [i]
3Digital (23, 33, 1502)-net over F7 [i]
4Linear OA(737, 2405, F7, 11) (dual of [2405, 2368, 12]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code) [i]✔
6Linear OA(742, 2410, F7, 12) (dual of [2410, 2368, 13]-code) [i]✔
7Linear OA(734, 2410, F7, 10) (dual of [2410, 2376, 11]-code) [i]✔
8Linear OA(748, 2416, F7, 13) (dual of [2416, 2368, 14]-code) [i]✔
9Linear OA(737, 2417, F7, 10) (dual of [2417, 2380, 11]-code) [i]✔
10Linear OA(755, 2423, F7, 15) (dual of [2423, 2368, 16]-code) [i]✔
11Linear OA(753, 2421, F7, 14) (dual of [2421, 2368, 15]-code) [i]✔
12Linear OA(760, 2428, F7, 16) (dual of [2428, 2368, 17]-code) [i]✔
13Linear OA(765, 2430, F7, 17) (dual of [2430, 2365, 18]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(761, 2430, F7, 16) (dual of [2430, 2369, 17]-code) [i]✔
15Linear OA(754, 2419, F7, 15) (dual of [2419, 2365, 16]-code) [i]✔
16Linear OA(747, 2412, F7, 13) (dual of [2412, 2365, 14]-code) [i]✔
17Linear OA(743, 2412, F7, 12) (dual of [2412, 2369, 13]-code) [i]✔
18Linear OA(736, 2413, F7, 10) (dual of [2413, 2377, 11]-code) [i]✔