Information on Result #615827

Linear OA(9105, 6561, F9, 30) (dual of [6561, 6456, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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(9105, 4930, F9, 2, 30) (dual of [(4930, 2), 9755, 31]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9105, 4930, F9, 3, 30) (dual of [(4930, 3), 14685, 31]-NRT-code) [i]
3Digital (75, 105, 4930)-net over F9 [i]
4Linear OA(9109, 6565, F9, 31) (dual of [6565, 6456, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9105, 6565, F9, 30) (dual of [6565, 6460, 31]-code) [i]✔
6Linear OA(9114, 6570, F9, 32) (dual of [6570, 6456, 33]-code) [i]✔
7Linear OA(9106, 6570, F9, 30) (dual of [6570, 6464, 31]-code) [i]✔
8Linear OA(9120, 6576, F9, 33) (dual of [6576, 6456, 34]-code) [i]✔
9Linear OA(9109, 6577, F9, 30) (dual of [6577, 6468, 31]-code) [i]✔
10Linear OA(9125, 6581, F9, 34) (dual of [6581, 6456, 35]-code) [i]✔
11Linear OA(9111, 6583, F9, 30) (dual of [6583, 6472, 31]-code) [i]✔
12Linear OA(9131, 6587, F9, 35) (dual of [6587, 6456, 36]-code) [i]✔
13Linear OA(9112, 6588, F9, 30) (dual of [6588, 6476, 31]-code) [i]✔
14Linear OA(9139, 6595, F9, 37) (dual of [6595, 6456, 38]-code) [i]✔
15Linear OA(9136, 6592, F9, 36) (dual of [6592, 6456, 37]-code) [i]✔
16Linear OA(9115, 6595, F9, 30) (dual of [6595, 6480, 31]-code) [i]✔
17Linear OA(9145, 6601, F9, 38) (dual of [6601, 6456, 39]-code) [i]✔
18Linear OA(9117, 6601, F9, 30) (dual of [6601, 6484, 31]-code) [i]✔
19Linear OA(9110, 6581, F9, 30) (dual of [6581, 6471, 31]-code) [i]✔
20Linear OA(9138, 6592, F9, 37) (dual of [6592, 6454, 38]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
21Linear OA(9137, 6590, F9, 37) (dual of [6590, 6453, 38]-code) [i]✔
22Linear OA(9130, 6583, F9, 35) (dual of [6583, 6453, 36]-code) [i]✔
23Linear OA(9126, 6583, F9, 34) (dual of [6583, 6457, 35]-code) [i]✔
24Linear OA(9119, 6572, F9, 33) (dual of [6572, 6453, 34]-code) [i]✔
25Linear OA(9115, 6572, F9, 32) (dual of [6572, 6457, 33]-code) [i]✔
26Linear OA(9108, 6573, F9, 30) (dual of [6573, 6465, 31]-code) [i]✔
27Linear OA(9110, 6579, F9, 30) (dual of [6579, 6469, 31]-code) [i]✔
28Linear OA(9114, 6592, F9, 30) (dual of [6592, 6478, 31]-code) [i]✔
29Linear OA(9113, 6590, F9, 30) (dual of [6590, 6477, 31]-code) [i]✔