Information on Result #609818

Linear OA(311, 2744, F3, 3) (dual of [2744, 2733, 4]-code or 2744-cap in PG(10,3)), 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(317, 307328, F3, 3) (dual of [307328, 307311, 4]-code or 307328-cap in PG(16,3)) [i]Product of Two Projective Caps and 2-Cap in AG(1, b)
2Linear OOA(311, 2744, F3, 2, 3) (dual of [(2744, 2), 5477, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable
3Linear OOA(311, 2743, F3, 3, 3) (dual of [(2743, 3), 8218, 4]-NRT-code) [i]OOA Stacking with Additional Row