Information on Result #604916

Linear OA(518, 19, F5, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,5)), using dual of repetition code with length 19

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(518, 19, F5, 17) (dual of [19, 1, 18]-code) [i]Strength Reduction
2Linear OA(518, 19, F5, 16) (dual of [19, 1, 17]-code) [i]
3Linear OA(5133, 644, F5, 37) (dual of [644, 511, 38]-code) [i](u, u+v)-Construction
4Linear OA(5129, 644, F5, 36) (dual of [644, 515, 37]-code) [i]
5Linear OA(533, 50, F5, 18) (dual of [50, 17, 19]-code) [i]VarÅ¡amov–Edel Lengthening
6Linear OA(539, 81, F5, 18) (dual of [81, 42, 19]-code) [i]
7Linear OA(541, 96, F5, 18) (dual of [96, 55, 19]-code) [i]
8Linear OA(545, 136, F5, 18) (dual of [136, 91, 19]-code) [i]