Information on Result #524321

There is no linear OA(3224, 230, F3, 151) (dual of [230, 6, 152]-code), because the linear programming bound with additional constraints on the weights

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OA(3225, 231, F3, 152) (dual of [231, 6, 153]-code) [i]Truncation
2No linear OOA(3225, 230, F3, 2, 152) (dual of [(230, 2), 235, 153]-NRT-code) [i]m-Reduction for OOAs
3No linear OOA(3226, 230, F3, 2, 153) (dual of [(230, 2), 234, 154]-NRT-code) [i]
4No linear OOA(3227, 230, F3, 2, 154) (dual of [(230, 2), 233, 155]-NRT-code) [i]
5No linear OOA(3228, 230, F3, 2, 155) (dual of [(230, 2), 232, 156]-NRT-code) [i]
6No linear OOA(3229, 230, F3, 2, 156) (dual of [(230, 2), 231, 157]-NRT-code) [i]
7No linear OOA(3230, 230, F3, 2, 157) (dual of [(230, 2), 230, 158]-NRT-code) [i]
8No linear OOA(3231, 230, F3, 2, 158) (dual of [(230, 2), 229, 159]-NRT-code) [i]
9No linear OOA(3232, 230, F3, 2, 159) (dual of [(230, 2), 228, 160]-NRT-code) [i]
10No linear OOA(3233, 230, F3, 2, 160) (dual of [(230, 2), 227, 161]-NRT-code) [i]
11No linear OOA(3234, 230, F3, 2, 161) (dual of [(230, 2), 226, 162]-NRT-code) [i]
12No linear OOA(3235, 230, F3, 2, 162) (dual of [(230, 2), 225, 163]-NRT-code) [i]
13No linear OOA(3236, 230, F3, 2, 163) (dual of [(230, 2), 224, 164]-NRT-code) [i]
14No linear OOA(3237, 230, F3, 2, 164) (dual of [(230, 2), 223, 165]-NRT-code) [i]
15No linear OOA(3238, 230, F3, 2, 165) (dual of [(230, 2), 222, 166]-NRT-code) [i]
16No linear OOA(3239, 230, F3, 2, 166) (dual of [(230, 2), 221, 167]-NRT-code) [i]
17No linear OOA(3240, 230, F3, 2, 167) (dual of [(230, 2), 220, 168]-NRT-code) [i]
18No linear OOA(3241, 230, F3, 2, 168) (dual of [(230, 2), 219, 169]-NRT-code) [i]
19No linear OOA(3242, 230, F3, 2, 169) (dual of [(230, 2), 218, 170]-NRT-code) [i]
20No linear OOA(3243, 230, F3, 2, 170) (dual of [(230, 2), 217, 171]-NRT-code) [i]
21No linear OOA(3244, 230, F3, 2, 171) (dual of [(230, 2), 216, 172]-NRT-code) [i]
22No linear OOA(3245, 230, F3, 2, 172) (dual of [(230, 2), 215, 173]-NRT-code) [i]
23No linear OOA(3246, 230, F3, 2, 173) (dual of [(230, 2), 214, 174]-NRT-code) [i]
24No linear OOA(3247, 230, F3, 2, 174) (dual of [(230, 2), 213, 175]-NRT-code) [i]
25No linear OOA(3248, 230, F3, 2, 175) (dual of [(230, 2), 212, 176]-NRT-code) [i]
26No linear OOA(3249, 230, F3, 2, 176) (dual of [(230, 2), 211, 177]-NRT-code) [i]
27No linear OOA(3250, 230, F3, 2, 177) (dual of [(230, 2), 210, 178]-NRT-code) [i]
28No linear OOA(3224, 230, F3, 2, 151) (dual of [(230, 2), 236, 152]-NRT-code) [i]Depth Reduction
29No linear OOA(3224, 230, F3, 3, 151) (dual of [(230, 3), 466, 152]-NRT-code) [i]
30No linear OOA(3224, 230, F3, 4, 151) (dual of [(230, 4), 696, 152]-NRT-code) [i]
31No linear OOA(3224, 230, F3, 5, 151) (dual of [(230, 5), 926, 152]-NRT-code) [i]
32No digital (73, 224, 230)-net over F3 [i]Extracting Embedded Orthogonal Array