Information on Result #805219
Linear OOA(497, 5769603, F49, 2, 3) (dual of [(5769603, 2), 11539199, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(497, 5769603, F49, 3) (dual of [5769603, 5769596, 4]-code or 5769603-cap in PG(6,49)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(4928, 5764804, F49, 2, 6) (dual of [(5764804, 2), 11529580, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(4929, 5764810, F49, 2, 6) (dual of [(5764810, 2), 11529591, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(4930, 5764814, F49, 2, 6) (dual of [(5764814, 2), 11529598, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(4931, 5764904, F49, 2, 6) (dual of [(5764904, 2), 11529777, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(4932, 5769608, F49, 2, 6) (dual of [(5769608, 2), 11539184, 7]-NRT-code) | [i] | ||
| 6 | Linear OOA(4933, 8388602, F49, 2, 6) (dual of [(8388602, 2), 16777171, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(4932, 5764804, F49, 2, 7) (dual of [(5764804, 2), 11529576, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(4933, 5764812, F49, 2, 7) (dual of [(5764812, 2), 11529591, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(4934, 5764814, F49, 2, 7) (dual of [(5764814, 2), 11529594, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(4935, 5764904, F49, 2, 7) (dual of [(5764904, 2), 11529773, 8]-NRT-code) | [i] | ||
| 11 | Linear OOA(4936, 5769608, F49, 2, 7) (dual of [(5769608, 2), 11539180, 8]-NRT-code) | [i] | ||
| 12 | Linear OOA(4937, 5776704, F49, 2, 7) (dual of [(5776704, 2), 11553371, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(4938, 8388602, F49, 2, 7) (dual of [(8388602, 2), 16777166, 8]-NRT-code) | [i] | ||
| 14 | Linear OOA(4939, large, F49, 2, 7) | [i] | ||
| 15 | Linear OOA(4955, large, F49, 2, 9) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 16 | Linear OOA(4936, 5769706, F49, 2, 7) (dual of [(5769706, 2), 11539376, 8]-NRT-code) | [i] | ||
| 17 | Linear OOA(4937, 6005004, F49, 2, 7) (dual of [(6005004, 2), 12009971, 8]-NRT-code) | [i] | ||
| 18 | Linear OOA(4938, large, F49, 2, 7) | [i] | ||
| 19 | Linear OOA(4932, 5769706, F49, 2, 6) (dual of [(5769706, 2), 11539380, 7]-NRT-code) | [i] | ||
| 20 | Linear OOA(4953, large, F49, 2, 9) | [i] | ||
| 21 | Linear OOA(4934, 5764854, F49, 2, 7) (dual of [(5764854, 2), 11529674, 8]-NRT-code) | [i] | ||
| 22 | Linear OOA(4935, 5767255, F49, 2, 7) (dual of [(5767255, 2), 11534475, 8]-NRT-code) | [i] | ||
| 23 | Linear OOA(4936, 5884904, F49, 2, 7) (dual of [(5884904, 2), 11769772, 8]-NRT-code) | [i] | ||
| 24 | Linear OOA(4937, large, F49, 2, 7) | [i] | ||
| 25 | Linear OOA(4930, 5764854, F49, 2, 6) (dual of [(5764854, 2), 11529678, 7]-NRT-code) | [i] | ||
| 26 | Linear OOA(4931, 5767255, F49, 2, 6) (dual of [(5767255, 2), 11534479, 7]-NRT-code) | [i] | ||
| 27 | Linear OOA(4932, 5884904, F49, 2, 6) (dual of [(5884904, 2), 11769776, 7]-NRT-code) | [i] | ||
| 28 | Linear OOA(4933, large, F49, 2, 6) | [i] | ||
| 29 | Linear OOA(497, 5769603, F49, 3, 3) (dual of [(5769603, 3), 17308802, 4]-NRT-code) | [i] | Appending kth Column | |