Information on Result #526555

There is no linear OA(317, 3693077, F3, 3) (dual of [3693077, 3693060, 4]-code or 3693077-cap in PG(16,3)), because doubling the cap would yield 7386154-cap in AG(17,3), 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 OOA(317, 3693077, F3, 2, 3) (dual of [(3693077, 2), 7386137, 4]-NRT-code) [i]Depth Reduction
2No linear OOA(317, 3693077, F3, 3, 3) (dual of [(3693077, 3), 11079214, 4]-NRT-code) [i]
3No linear OOA(317, 3693077, F3, 4, 3) (dual of [(3693077, 4), 14772291, 4]-NRT-code) [i]
4No linear OOA(317, 3693077, F3, 5, 3) (dual of [(3693077, 5), 18465368, 4]-NRT-code) [i]
5No digital (14, 17, 3693077)-net over F3 [i]Extracting Embedded Orthogonal Array