Information on Result #689660

Linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(9129, 5349, F9, 2, 37) (dual of [(5349, 2), 10569, 38]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9129, 5349, F9, 3, 37) (dual of [(5349, 3), 15918, 38]-NRT-code) [i]
3Digital (92, 129, 5349)-net over F9 [i]
4Linear OA(9133, 6565, F9, 38) (dual of [6565, 6432, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9130, 6566, F9, 37) (dual of [6566, 6436, 38]-code) [i]✔
6Linear OA(9131, 6571, F9, 37) (dual of [6571, 6440, 38]-code) [i]✔
7Linear OA(9144, 6576, F9, 40) (dual of [6576, 6432, 41]-code) [i]✔
8Linear OA(9133, 6577, F9, 37) (dual of [6577, 6444, 38]-code) [i]✔
9Linear OA(9135, 6583, F9, 37) (dual of [6583, 6448, 38]-code) [i]✔
10Linear OA(9133, 6581, F9, 36) (dual of [6581, 6448, 37]-code) [i]✔
11Linear OA(9136, 6588, F9, 37) (dual of [6588, 6452, 38]-code) [i]✔
12Linear OA(9139, 6595, F9, 37) (dual of [6595, 6456, 38]-code) [i]✔
13Linear OA(9136, 6592, F9, 36) (dual of [6592, 6456, 37]-code) [i]✔
14Linear OA(9141, 6601, F9, 37) (dual of [6601, 6460, 38]-code) [i]✔
15Linear OA(9139, 6599, F9, 36) (dual of [6599, 6460, 37]-code) [i]✔
16Linear OA(9144, 6608, F9, 37) (dual of [6608, 6464, 38]-code) [i]✔
17Linear OA(9141, 6602, F9, 36) (dual of [6602, 6461, 37]-code) [i]✔
18Linear OA(9134, 6581, F9, 37) (dual of [6581, 6447, 38]-code) [i]✔
19Linear OA(9143, 6605, F9, 37) (dual of [6605, 6462, 38]-code) [i]✔
20Linear OA(9141, 6605, F9, 36) (dual of [6605, 6464, 37]-code) [i]✔
21Linear OA(9143, 6572, F9, 40) (dual of [6572, 6429, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(9146, 6579, F9, 40) (dual of [6579, 6433, 41]-code) [i]✔
23Linear OA(9134, 6579, F9, 37) (dual of [6579, 6445, 38]-code) [i]✔
24Linear OA(9134, 6583, F9, 36) (dual of [6583, 6449, 37]-code) [i]✔
25Linear OA(9138, 6592, F9, 37) (dual of [6592, 6454, 38]-code) [i]✔
26Linear OA(9137, 6590, F9, 37) (dual of [6590, 6453, 38]-code) [i]✔
27Linear OOA(9129, 2187, F9, 3, 37) (dual of [(2187, 3), 6432, 38]-NRT-code) [i]OOA Folding