Information on Result #615871

Linear OA(9125, 6561, F9, 35) (dual of [6561, 6436, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(9125, 6318, F9, 2, 35) (dual of [(6318, 2), 12511, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9125, 6318, F9, 3, 35) (dual of [(6318, 3), 18829, 36]-NRT-code) [i]
3Digital (90, 125, 6318)-net over F9 [i]
4Linear OA(9130, 6566, F9, 37) (dual of [6566, 6436, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(9125, 6565, F9, 35) (dual of [6565, 6440, 36]-code) [i]✔
6Linear OA(9135, 6571, F9, 38) (dual of [6571, 6436, 39]-code) [i]✔
7Linear OA(9126, 6570, F9, 35) (dual of [6570, 6444, 36]-code) [i]✔
8Linear OA(9141, 6577, F9, 39) (dual of [6577, 6436, 40]-code) [i]✔
9Linear OA(9128, 6576, F9, 35) (dual of [6576, 6448, 36]-code) [i]✔
10Linear OA(9147, 6583, F9, 40) (dual of [6583, 6436, 41]-code) [i]✔
11Linear OA(9129, 6581, F9, 35) (dual of [6581, 6452, 36]-code) [i]✔
12Linear OA(9131, 6587, F9, 35) (dual of [6587, 6456, 36]-code) [i]✔
13Linear OA(9132, 6592, F9, 35) (dual of [6592, 6460, 36]-code) [i]✔
14Linear OA(9135, 6599, F9, 35) (dual of [6599, 6464, 36]-code) [i]✔
15Linear OA(9146, 6581, F9, 40) (dual of [6581, 6435, 41]-code) [i]✔
16Linear OA(9146, 6579, F9, 40) (dual of [6579, 6433, 41]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
17Linear OA(9142, 6579, F9, 39) (dual of [6579, 6437, 40]-code) [i]✔
18Linear OA(9127, 6572, F9, 35) (dual of [6572, 6445, 36]-code) [i]✔
19Linear OA(9130, 6583, F9, 35) (dual of [6583, 6453, 36]-code) [i]✔