Information on Result #602710

Linear OA(53, 3, F5, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,5) or 3-cap in PG(2,5)), using complete OA / dual of code with only one code word

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(542, 15631, F5, 8) (dual of [15631, 15589, 9]-code) [i](u, u−v, u+v+w)-Construction
2Linear OA(548, 78131, F5, 8) (dual of [78131, 78083, 9]-code) [i]
3Linear OA(554, 390631, F5, 8) (dual of [390631, 390577, 9]-code) [i]
4Linear OA(560, 1953131, F5, 8) (dual of [1953131, 1953071, 9]-code) [i]