Information on Result #609834

Linear OA(165, 629, F16, 3) (dual of [629, 624, 4]-code or 629-cap in PG(4,16)), using caps completed using a computer search

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:

ResultThis
result
only
Method
1Linear OA(1624, 4726, F16, 7) (dual of [4726, 4702, 8]-code) [i](u, u+v)-Construction
2Linear OA(1636, 1049206, F16, 7) (dual of [1049206, 1049170, 8]-code) [i]
3Linear OA(1624, 4728, F16, 7) (dual of [4728, 4704, 8]-code) [i]
4Linear OA(1636, 1049210, F16, 7) (dual of [1049210, 1049174, 8]-code) [i]
5Linear OOA(165, 629, F16, 2, 3) (dual of [(629, 2), 1253, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable