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
- 11 times the recursive bound from Bierbrauer and Edel [i] would yield 113-cap in AG(6,3), 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:
Result | This result only | Method | ||
---|---|---|---|---|
1 | No linear OOA(317, 3693077, F3, 2, 3) (dual of [(3693077, 2), 7386137, 4]-NRT-code) | [i] | Depth Reduction | |
2 | No linear OOA(317, 3693077, F3, 3, 3) (dual of [(3693077, 3), 11079214, 4]-NRT-code) | [i] | ||
3 | No linear OOA(317, 3693077, F3, 4, 3) (dual of [(3693077, 4), 14772291, 4]-NRT-code) | [i] | ||
4 | No linear OOA(317, 3693077, F3, 5, 3) (dual of [(3693077, 5), 18465368, 4]-NRT-code) | [i] | ||
5 | No digital (14, 17, 3693077)-net over F3 | [i] | Extracting Embedded Orthogonal Array |