Information on Result #805191
Linear OOA(164, 257, F16, 2, 3) (dual of [(257, 2), 510, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(164, 257, F16, 3) (dual of [257, 253, 4]-code or 257-cap in PG(3,16)), 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(1620, 2306, F16, 2, 6) (dual of [(2306, 2), 4592, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1630, 524547, F16, 2, 6) (dual of [(524547, 2), 1049064, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(1618, 771, F16, 2, 7) (dual of [(771, 2), 1524, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(1623, 2306, F16, 2, 7) (dual of [(2306, 2), 4589, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(1630, 65795, F16, 2, 7) (dual of [(65795, 2), 131560, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(1635, 524547, F16, 2, 7) (dual of [(524547, 2), 1049059, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(1624, 4112, F16, 2, 7) (dual of [(4112, 2), 8200, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(164, 257, F16, 3, 3) (dual of [(257, 3), 767, 4]-NRT-code) | [i] | Appending kth Column | |