Information on Result #1179018
Digital (13, 16, large)-net over F5, using net defined by OOA based on linear OOA(516, large, F5, 3, 3), using
- appending kth column [i] based on linear OOA(516, large, F5, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(516, large, F5, 3) (dual of [large, large−16, 4]-code), using
- product of projective cap with 52-ovoid cap in AG(3, 5) [i] based on linear OA(513, 438101, F5, 3) (dual of [438101, 438088, 4]-code or 438101-cap in PG(12,5)), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(516, large, F5, 3) (dual of [large, large−16, 4]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (14, 17, large)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (15, 18, large)-net over F5 | [i] | ||
| 3 | Digital (16, 19, large)-net over F5 | [i] | ||
| 4 | Digital (17, 20, large)-net over F5 | [i] | ||
| 5 | Digital (18, 21, large)-net over F5 | [i] | ||
| 6 | Digital (19, 22, large)-net over F5 | [i] | ||
| 7 | Digital (20, 23, large)-net over F5 | [i] | ||
| 8 | Digital (21, 24, large)-net over F5 | [i] | ||
| 9 | Digital (22, 25, large)-net over F5 | [i] | ||
| 10 | Digital (23, 26, large)-net over F5 | [i] | ||
| 11 | Digital (24, 27, large)-net over F5 | [i] | ||
| 12 | Digital (25, 28, large)-net over F5 | [i] | ||
| 13 | Digital (26, 29, large)-net over F5 | [i] | ||
| 14 | Digital (27, 30, large)-net over F5 | [i] | ||
| 15 | Digital (28, 31, large)-net over F5 | [i] | ||
| 16 | Digital (29, 32, large)-net over F5 | [i] | ||