Information on Result #547628

There is no linear OA(9143, 217, F9, 126) (dual of [217, 74, 127]-code), because residual code would yield OA(917, 90, S9, 14), but

Mode: Bound (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
1No linear OA(9144, 218, F9, 127) (dual of [218, 74, 128]-code) [i]Truncation
2No linear OA(9145, 219, F9, 128) (dual of [219, 74, 129]-code) [i]
3No linear OA(9146, 220, F9, 129) (dual of [220, 74, 130]-code) [i]
4No linear OA(9147, 221, F9, 130) (dual of [221, 74, 131]-code) [i]
5No linear OA(9148, 222, F9, 131) (dual of [222, 74, 132]-code) [i]
6No linear OA(9149, 223, F9, 132) (dual of [223, 74, 133]-code) [i]
7No linear OA(9150, 224, F9, 133) (dual of [224, 74, 134]-code) [i]
8No linear OOA(9144, 217, F9, 2, 127) (dual of [(217, 2), 290, 128]-NRT-code) [i]m-Reduction for OOAs
9No linear OOA(9145, 217, F9, 2, 128) (dual of [(217, 2), 289, 129]-NRT-code) [i]
10No linear OOA(9146, 217, F9, 2, 129) (dual of [(217, 2), 288, 130]-NRT-code) [i]
11No linear OOA(9147, 217, F9, 2, 130) (dual of [(217, 2), 287, 131]-NRT-code) [i]
12No linear OOA(9148, 217, F9, 2, 131) (dual of [(217, 2), 286, 132]-NRT-code) [i]
13No linear OOA(9149, 217, F9, 2, 132) (dual of [(217, 2), 285, 133]-NRT-code) [i]
14No linear OOA(9150, 217, F9, 2, 133) (dual of [(217, 2), 284, 134]-NRT-code) [i]
15No linear OOA(9143, 217, F9, 2, 126) (dual of [(217, 2), 291, 127]-NRT-code) [i]Depth Reduction
16No linear OOA(9143, 217, F9, 3, 126) (dual of [(217, 3), 508, 127]-NRT-code) [i]
17No digital (17, 143, 217)-net over F9 [i]Extracting Embedded Orthogonal Array
18No linear OA(9113, 256, F9, 98) (dual of [256, 143, 99]-code) [i]Construction Y1 (Bound)