Information on Result #604914

Linear OA(516, 17, F5, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,5)), using dual of repetition code with length 17

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(516, 17, F5, 15) (dual of [17, 1, 16]-code) [i]Strength Reduction
2Linear OA(5119, 642, F5, 33) (dual of [642, 523, 34]-code) [i](u, u+v)-Construction
3Linear OA(5115, 642, F5, 32) (dual of [642, 527, 33]-code) [i]
4Linear OA(5142, 3142, F5, 32) (dual of [3142, 3000, 33]-code) [i]
5Linear OA(5147, 3143, F5, 33) (dual of [3143, 2996, 34]-code) [i]Construction X with Cyclic Codes
6Linear OA(5121, 330, F5, 35) (dual of [330, 209, 36]-code) [i]
7Linear OA(571, 80, F5, 37) (dual of [80, 9, 38]-code) [i]
8Linear OA(5148, 153, F5, 67) (dual of [153, 5, 68]-code) [i]
9Linear OA(562, 3142, F5, 14) (dual of [3142, 3080, 15]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes