Information on Result #527967

There is no linear OA(3241, 246, F3, 162) (dual of [246, 5, 163]-code), because Griesmer bound

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(3241, 246, F3, 163) (dual of [246, 5, 164]-code) [i]Strength Reduction
2No linear OA(3240, 245, F3, 162) (dual of [245, 5, 163]-code) [i]Code Embedding in Larger Space
3No linear OA(3244, 249, F3, 165) (dual of [249, 5, 166]-code) [i]Truncation
4No linear OA(3245, 250, F3, 166) (dual of [250, 5, 167]-code) [i]
5No linear OA(3246, 251, F3, 167) (dual of [251, 5, 168]-code) [i]
6No linear OOA(3242, 246, F3, 2, 163) (dual of [(246, 2), 250, 164]-NRT-code) [i]m-Reduction for OOAs
7No linear OOA(3243, 246, F3, 2, 164) (dual of [(246, 2), 249, 165]-NRT-code) [i]
8No linear OOA(3244, 246, F3, 2, 165) (dual of [(246, 2), 248, 166]-NRT-code) [i]
9No linear OOA(3245, 246, F3, 2, 166) (dual of [(246, 2), 247, 167]-NRT-code) [i]
10No linear OOA(3246, 246, F3, 2, 167) (dual of [(246, 2), 246, 168]-NRT-code) [i]
11No linear OOA(3247, 246, F3, 2, 168) (dual of [(246, 2), 245, 169]-NRT-code) [i]
12No linear OOA(3248, 246, F3, 2, 169) (dual of [(246, 2), 244, 170]-NRT-code) [i]
13No linear OOA(3249, 246, F3, 2, 170) (dual of [(246, 2), 243, 171]-NRT-code) [i]
14No linear OOA(3250, 246, F3, 2, 171) (dual of [(246, 2), 242, 172]-NRT-code) [i]
15No linear OOA(3241, 246, F3, 2, 162) (dual of [(246, 2), 251, 163]-NRT-code) [i]Depth Reduction
16No linear OOA(3241, 246, F3, 3, 162) (dual of [(246, 3), 497, 163]-NRT-code) [i]
17No linear OOA(3241, 246, F3, 4, 162) (dual of [(246, 4), 743, 163]-NRT-code) [i]
18No linear OOA(3241, 246, F3, 5, 162) (dual of [(246, 5), 989, 163]-NRT-code) [i]
19No digital (79, 241, 246)-net over F3 [i]Extracting Embedded Orthogonal Array