Information on Result #528515

There is no linear OA(4254, 258, F4, 192) (dual of [258, 4, 193]-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(4254, 258, F4, 193) (dual of [258, 4, 194]-code) [i]Strength Reduction
2No linear OA(4253, 257, F4, 192) (dual of [257, 4, 193]-code) [i]Code Embedding in Larger Space
3No linear OA(4258, 262, F4, 196) (dual of [262, 4, 197]-code) [i]Truncation
4No linear OA(4259, 263, F4, 197) (dual of [263, 4, 198]-code) [i]
5No linear OOA(4255, 258, F4, 2, 193) (dual of [(258, 2), 261, 194]-NRT-code) [i]m-Reduction for OOAs
6No linear OOA(4256, 258, F4, 2, 194) (dual of [(258, 2), 260, 195]-NRT-code) [i]
7No linear OOA(4257, 258, F4, 2, 195) (dual of [(258, 2), 259, 196]-NRT-code) [i]
8No linear OOA(4258, 258, F4, 2, 196) (dual of [(258, 2), 258, 197]-NRT-code) [i]
9No linear OOA(4259, 258, F4, 2, 197) (dual of [(258, 2), 257, 198]-NRT-code) [i]
10No linear OOA(4260, 258, F4, 2, 198) (dual of [(258, 2), 256, 199]-NRT-code) [i]
11No linear OOA(4254, 258, F4, 2, 192) (dual of [(258, 2), 262, 193]-NRT-code) [i]Depth Reduction
12No linear OOA(4254, 258, F4, 3, 192) (dual of [(258, 3), 520, 193]-NRT-code) [i]
13No digital (62, 254, 258)-net over F4 [i]Extracting Embedded Orthogonal Array
14No linear OA(4255, 261, F4, 192) (dual of [261, 6, 193]-code) [i]Construction Y1 (Bound)