Information on Result #805132
Linear OOA(44, 17, F4, 2, 3) (dual of [(17, 2), 30, 4]-NRT-code), using OAs with strength 3, b ≠ 2, and m > 3 are always embeddable based on linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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(453, 4194318, F4, 2, 6) (dual of [(4194318, 2), 8388583, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(415, 37, F4, 2, 7) (dual of [(37, 2), 59, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(440, 8212, F4, 2, 7) (dual of [(8212, 2), 16384, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(445, 32789, F4, 2, 7) (dual of [(32789, 2), 65533, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(450, 131093, F4, 2, 7) (dual of [(131093, 2), 262136, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(455, 524310, F4, 2, 7) (dual of [(524310, 2), 1048565, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(460, 2097174, F4, 2, 7) (dual of [(2097174, 2), 4194288, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(465, 4194318, F4, 2, 7) (dual of [(4194318, 2), 8388571, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(419, 71, F4, 2, 7) (dual of [(71, 2), 123, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(44, 17, F4, 3, 3) (dual of [(17, 3), 47, 4]-NRT-code) | [i] | Appending kth Column | |