Information on Result #615815

Linear OA(9101, 6561, F9, 29) (dual of [6561, 6460, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(9101, 4657, F9, 2, 29) (dual of [(4657, 2), 9213, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9101, 4657, F9, 3, 29) (dual of [(4657, 3), 13870, 30]-NRT-code) [i]
3Digital (72, 101, 4657)-net over F9 [i]
4Linear OA(9105, 6565, F9, 30) (dual of [6565, 6460, 31]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9101, 6565, F9, 29) (dual of [6565, 6464, 30]-code) [i]✔
6Linear OA(9110, 6570, F9, 31) (dual of [6570, 6460, 32]-code) [i]✔
7Linear OA(9103, 6571, F9, 29) (dual of [6571, 6468, 30]-code) [i]✔
8Linear OA(9116, 6576, F9, 32) (dual of [6576, 6460, 33]-code) [i]✔
9Linear OA(9105, 6577, F9, 29) (dual of [6577, 6472, 30]-code) [i]✔
10Linear OA(9121, 6581, F9, 33) (dual of [6581, 6460, 34]-code) [i]✔
11Linear OA(9107, 6583, F9, 29) (dual of [6583, 6476, 30]-code) [i]✔
12Linear OA(9127, 6587, F9, 34) (dual of [6587, 6460, 35]-code) [i]✔
13Linear OA(9108, 6588, F9, 29) (dual of [6588, 6480, 30]-code) [i]✔
14Linear OA(9132, 6592, F9, 35) (dual of [6592, 6460, 36]-code) [i]✔
15Linear OA(9111, 6595, F9, 29) (dual of [6595, 6484, 30]-code) [i]✔
16Linear OA(9141, 6601, F9, 37) (dual of [6601, 6460, 38]-code) [i]✔
17Linear OA(9139, 6599, F9, 36) (dual of [6599, 6460, 37]-code) [i]✔
18Linear OA(9113, 6601, F9, 29) (dual of [6601, 6488, 30]-code) [i]✔
19Linear OA(9148, 6608, F9, 38) (dual of [6608, 6460, 39]-code) [i]✔
20Linear OA(9106, 6581, F9, 29) (dual of [6581, 6475, 30]-code) [i]✔
21Linear OA(9147, 6605, F9, 38) (dual of [6605, 6458, 39]-code) [i]✔
22Linear OA(9126, 6583, F9, 34) (dual of [6583, 6457, 35]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(9122, 6583, F9, 33) (dual of [6583, 6461, 34]-code) [i]✔
24Linear OA(9115, 6572, F9, 32) (dual of [6572, 6457, 33]-code) [i]✔
25Linear OA(9111, 6572, F9, 31) (dual of [6572, 6461, 32]-code) [i]✔
26Linear OA(9106, 6579, F9, 29) (dual of [6579, 6473, 30]-code) [i]✔
27Linear OA(9110, 6592, F9, 29) (dual of [6592, 6482, 30]-code) [i]✔
28Linear OA(9109, 6590, F9, 29) (dual of [6590, 6481, 30]-code) [i]✔