Information on Result #614302

Linear OA(729, 2401, F7, 9) (dual of [2401, 2372, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9

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(733, 2409, F7, 9) (dual of [2409, 2376, 10]-code) [i](u, u+v)-Construction
2Linear OOA(729, 1349, F7, 2, 9) (dual of [(1349, 2), 2669, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(729, 1349, F7, 3, 9) (dual of [(1349, 3), 4018, 10]-NRT-code) [i]
4Digital (20, 29, 1349)-net over F7 [i]
5Linear OA(733, 2405, F7, 10) (dual of [2405, 2372, 11]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
6Linear OA(729, 2405, F7, 9) (dual of [2405, 2376, 10]-code) [i]✔
7Linear OA(738, 2410, F7, 11) (dual of [2410, 2372, 12]-code) [i]✔
8Linear OA(731, 2409, F7, 9) (dual of [2409, 2378, 10]-code) [i]✔
9Linear OA(732, 2412, F7, 9) (dual of [2412, 2380, 10]-code) [i]✔
10Linear OA(744, 2416, F7, 12) (dual of [2416, 2372, 13]-code) [i]✔
11Linear OA(733, 2417, F7, 9) (dual of [2417, 2384, 10]-code) [i]✔
12Linear OA(749, 2421, F7, 13) (dual of [2421, 2372, 14]-code) [i]✔
13Linear OA(756, 2428, F7, 15) (dual of [2428, 2372, 16]-code) [i]✔
14Linear OA(761, 2430, F7, 16) (dual of [2430, 2369, 17]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(757, 2430, F7, 15) (dual of [2430, 2373, 16]-code) [i]✔
16Linear OA(743, 2412, F7, 12) (dual of [2412, 2369, 13]-code) [i]✔
17Linear OA(739, 2412, F7, 11) (dual of [2412, 2373, 12]-code) [i]✔