Information on Result #609860

Linear OA(167, 66048, F16, 3) (dual of [66048, 66041, 4]-code or 66048-cap in PG(6,16)), using product of two caps with tangent hyperplane

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(169, 1188864, F16, 3) (dual of [1188864, 1188855, 4]-code or 1188864-cap in PG(8,16)) [i]Product of Projective Cap with (Hyper)oval
2Linear OA(1610, large, F16, 3) (dual of [large, large−10, 4]-code) [i]Product of Projective Cap with b2-Ovoid Cap in AG(3, b)
3Linear OOA(167, 66048, F16, 2, 3) (dual of [(66048, 2), 132089, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable