Information on Result #524299
There is no linear OA(35, 21, F3, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), because 20 is the largest size of a cap in PG(4, 3)
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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OOA(35, 21, F3, 2, 3) (dual of [(21, 2), 37, 4]-NRT-code) | [i] | Depth Reduction | |
| 2 | No linear OOA(35, 21, F3, 3, 3) (dual of [(21, 3), 58, 4]-NRT-code) | [i] | ||
| 3 | No linear OOA(35, 21, F3, 4, 3) (dual of [(21, 4), 79, 4]-NRT-code) | [i] | ||
| 4 | No linear OOA(35, 21, F3, 5, 3) (dual of [(21, 5), 100, 4]-NRT-code) | [i] | ||
| 5 | No digital (2, 5, 21)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 6 | No 21-cap in AG(4,3) | [i] | Every Affine Cap Is Also a Projective Cap | |
| 7 | No linear OA(314, 31, F3, 9) (dual of [31, 17, 10]-code) | [i] | Residual Code | |
| 8 | No linear OA(317, 22, F3, 12) (dual of [22, 5, 13]-code) | [i] | Construction Y1 (Bound) | |
| 9 | No linear OA(321, 26, F3, 15) (dual of [26, 5, 16]-code) | [i] | ||
| 10 | Linear OA(350, 56, F3, 35) (dual of [56, 6, 36]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |