Information on Result #994150
Linear OOA(511, 43876, F5, 3, 3) (dual of [(43876, 3), 131617, 4]-NRT-code), using appending kth column based on linear OOA(511, 43876, F5, 2, 3) (dual of [(43876, 2), 87741, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(511, 43876, F5, 3) (dual of [43876, 43865, 4]-code or 43876-cap in PG(10,5)), using
Mode: Constructive and 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 | Linear OOA(5136, 5636290, F5, 3, 11) (dual of [(5636290, 3), 16908734, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(5137, 5636315, F5, 3, 11) (dual of [(5636315, 3), 16908808, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(5138, 5636340, F5, 3, 11) (dual of [(5636340, 3), 16908882, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(5138, 5636440, F5, 3, 11) (dual of [(5636440, 3), 16909182, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(5139, 5636465, F5, 3, 11) (dual of [(5636465, 3), 16909256, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(5140, 5636590, F5, 3, 11) (dual of [(5636590, 3), 16909630, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(5139, 5637065, F5, 3, 11) (dual of [(5637065, 3), 16911056, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(5140, 5637090, F5, 3, 11) (dual of [(5637090, 3), 16911130, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(5141, 5637215, F5, 3, 11) (dual of [(5637215, 3), 16911504, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(5140, 5640190, F5, 3, 11) (dual of [(5640190, 3), 16920430, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(5141, 5640215, F5, 3, 11) (dual of [(5640215, 3), 16920504, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(5141, 5655815, F5, 3, 11) (dual of [(5655815, 3), 16967304, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(5134, 5636284, F5, 3, 11) (dual of [(5636284, 3), 16908718, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(5135, 5636309, F5, 3, 11) (dual of [(5636309, 3), 16908792, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(5136, 5636434, F5, 3, 11) (dual of [(5636434, 3), 16909166, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(5132, 5636278, F5, 3, 11) (dual of [(5636278, 3), 16908702, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(5131, 5636278, F5, 3, 10) (dual of [(5636278, 3), 16908703, 11]-NRT-code) | [i] | ||
| 18 | Digital (8, 11, 43876)-net over F5 | [i] | Net Defined by OOA | |