Information on Result #609751

Linear OA(46, 126, F4, 3) (dual of [126, 120, 4]-code or 126-cap in PG(5,4)), using the Glynn cap

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 OA(424, 297, F4, 7) (dual of [297, 273, 8]-code) [i](u, u+v)-Construction
2Linear OA(48, 756, F4, 3) (dual of [756, 748, 4]-code or 756-cap in PG(7,4)) [i]Product of Projective Cap with (Hyper)oval
3Linear OA(410, 5040, F4, 3) (dual of [5040, 5030, 4]-code or 5040-cap in PG(9,4)) [i]Product of Projective Cap with Cap in AG(4, b)
4Linear OA(413, 95256, F4, 3) (dual of [95256, 95243, 4]-code or 95256-cap in PG(12,4)) [i]Product of Two Projective Caps and (Hyper)oval
5Linear OA(413, 95256, F4, 3) (dual of [95256, 95243, 4]-code or 95256-cap in PG(12,4)) [i]
6Linear OOA(46, 126, F4, 2, 3) (dual of [(126, 2), 246, 4]-NRT-code) [i]OAs with Strength 3, b ≠ 2, and m > 3 Are Always Embeddable
7Linear OOA(46, 125, F4, 3, 3) (dual of [(125, 3), 369, 4]-NRT-code) [i]OOA Stacking with Additional Row