Information on Result #625121
Linear OA(410, 5040, F4, 3) (dual of [5040, 5030, 4]-code or 5040-cap in PG(9,4)), using product of projective cap with cap in AG(4, 4) based on linear OA(46, 126, F4, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), 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(410, 5040, F4, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code) | [i] | OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable | |
| 2 | Linear OOA(410, 5039, F4, 3, 3) (dual of [(5039, 3), 15107, 4]-NRT-code) | [i] | OOA Stacking with Additional Row | |