Information on Result #615853

Linear OA(9117, 6561, F9, 33) (dual of [6561, 6444, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33

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(9117, 5758, F9, 2, 33) (dual of [(5758, 2), 11399, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9117, 5758, F9, 3, 33) (dual of [(5758, 3), 17157, 34]-NRT-code) [i]
3Digital (84, 117, 5758)-net over F9 [i]
4Linear OA(9121, 6565, F9, 34) (dual of [6565, 6444, 35]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9117, 6565, F9, 33) (dual of [6565, 6448, 34]-code) [i]✔
6Linear OA(9126, 6570, F9, 35) (dual of [6570, 6444, 36]-code) [i]✔
7Linear OA(9118, 6570, F9, 33) (dual of [6570, 6452, 34]-code) [i]✔
8Linear OA(9133, 6577, F9, 37) (dual of [6577, 6444, 38]-code) [i]✔
9Linear OA(9120, 6576, F9, 33) (dual of [6576, 6456, 34]-code) [i]✔
10Linear OA(9139, 6583, F9, 38) (dual of [6583, 6444, 39]-code) [i]✔
11Linear OA(9121, 6581, F9, 33) (dual of [6581, 6460, 34]-code) [i]✔
12Linear OA(9144, 6588, F9, 39) (dual of [6588, 6444, 40]-code) [i]✔
13Linear OA(9123, 6587, F9, 33) (dual of [6587, 6464, 34]-code) [i]✔
14Linear OA(9127, 6595, F9, 33) (dual of [6595, 6468, 34]-code) [i]✔
15Linear OA(9129, 6601, F9, 33) (dual of [6601, 6472, 34]-code) [i]✔
16Linear OA(9138, 6581, F9, 38) (dual of [6581, 6443, 39]-code) [i]✔
17Linear OA(9150, 6592, F9, 40) (dual of [6592, 6442, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
18Linear OA(9149, 6590, F9, 40) (dual of [6590, 6441, 41]-code) [i]✔
19Linear OA(9146, 6592, F9, 39) (dual of [6592, 6446, 40]-code) [i]✔
20Linear OA(9145, 6590, F9, 39) (dual of [6590, 6445, 40]-code) [i]✔
21Linear OA(9138, 6579, F9, 38) (dual of [6579, 6441, 39]-code) [i]✔
22Linear OA(9134, 6579, F9, 37) (dual of [6579, 6445, 38]-code) [i]✔
23Linear OA(9127, 6572, F9, 35) (dual of [6572, 6445, 36]-code) [i]✔
24Linear OA(9119, 6572, F9, 33) (dual of [6572, 6453, 34]-code) [i]✔
25Linear OA(9122, 6583, F9, 33) (dual of [6583, 6461, 34]-code) [i]✔
26Linear OA(9126, 6592, F9, 33) (dual of [6592, 6466, 34]-code) [i]✔
27Linear OA(9125, 6590, F9, 33) (dual of [6590, 6465, 34]-code) [i]✔