Information on Result #609823

Linear OA(55, 66, F5, 3) (dual of [66, 61, 4]-code or 66-cap in PG(4,5)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(55, 66, F5, 2, 3) (dual of [(66, 2), 127, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable
2Linear OOA(55, 65, F5, 3, 3) (dual of [(65, 3), 190, 4]-NRT-code) [i]OOA Stacking with Additional Row