Information on Result #994155
Linear OOA(516, large, F5, 3, 3), using appending kth column 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
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 | Linear OOA(519, large, F5, 3, 3) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(522, large, F5, 3, 3) | [i] | ||
| 3 | Linear OOA(525, large, F5, 3, 3) | [i] | ||
| 4 | Linear OOA(528, large, F5, 3, 3) | [i] | ||
| 5 | Linear OOA(531, large, F5, 3, 3) | [i] | ||
| 6 | Linear OOA(537, large, F5, 3, 3) | [i] | ||
| 7 | Linear OOA(540, large, F5, 3, 3) | [i] | ||
| 8 | Linear OOA(543, large, F5, 3, 3) | [i] | ||
| 9 | Linear OOA(546, large, F5, 3, 3) | [i] | ||
| 10 | Linear OOA(549, large, F5, 3, 3) | [i] | ||
| 11 | Linear OOA(552, large, F5, 3, 3) | [i] | ||
| 12 | Linear OOA(555, large, F5, 3, 3) | [i] | ||
| 13 | Linear OOA(558, large, F5, 3, 3) | [i] | ||
| 14 | Linear OOA(561, large, F5, 3, 3) | [i] | ||
| 15 | Linear OOA(564, large, F5, 3, 3) | [i] | ||
| 16 | Linear OOA(570, large, F5, 3, 3) | [i] | ||
| 17 | Linear OOA(573, large, F5, 3, 3) | [i] | ||
| 18 | Linear OOA(576, large, F5, 3, 3) | [i] | ||
| 19 | Linear OOA(579, large, F5, 3, 3) | [i] | ||
| 20 | Linear OOA(582, large, F5, 3, 3) | [i] | ||
| 21 | Linear OOA(585, large, F5, 3, 3) | [i] | ||
| 22 | Linear OOA(588, large, F5, 3, 3) | [i] | ||
| 23 | Linear OOA(591, large, F5, 3, 3) | [i] | ||
| 24 | Linear OOA(594, large, F5, 3, 3) | [i] | ||
| 25 | Linear OOA(597, large, F5, 3, 3) | [i] | ||
| 26 | Linear OOA(5100, large, F5, 3, 3) | [i] | ||
| 27 | Linear OOA(5106, large, F5, 3, 3) | [i] | ||
| 28 | Linear OOA(5109, large, F5, 3, 3) | [i] | ||
| 29 | Linear OOA(5112, large, F5, 3, 3) | [i] | ||
| 30 | Linear OOA(5115, large, F5, 3, 3) | [i] | ||
| 31 | Linear OOA(5118, large, F5, 3, 3) | [i] | ||
| 32 | Linear OOA(5121, large, F5, 3, 3) | [i] | ||
| 33 | Linear OOA(5124, large, F5, 3, 3) | [i] | ||
| 34 | Linear OOA(5127, large, F5, 3, 3) | [i] | ||
| 35 | Linear OOA(5130, large, F5, 3, 3) | [i] | ||
| 36 | Linear OOA(5133, large, F5, 3, 3) | [i] | ||
| 37 | Linear OOA(5139, large, F5, 3, 3) | [i] | ||
| 38 | Linear OOA(5142, large, F5, 3, 3) | [i] | ||
| 39 | Linear OOA(5145, large, F5, 3, 3) | [i] | ||
| 40 | Linear OOA(5148, large, F5, 3, 3) | [i] | ||
| 41 | Linear OOA(517, large, F5, 3, 3) | [i] | OOA Duplication | |
| 42 | Linear OOA(518, large, F5, 3, 3) | [i] | ||
| 43 | Linear OOA(568, 8388602, F5, 3, 6) (dual of [(8388602, 3), 25165738, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 44 | Linear OOA(578, 8388602, F5, 3, 7) (dual of [(8388602, 3), 25165728, 8]-NRT-code) | [i] | ||
| 45 | Digital (13, 16, large)-net over F5 | [i] | Net Defined by OOA | |