Information on Result #606391

Linear OA(2518, 25, F25, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,25)), using Reed–Solomon code RS(7,25)

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(2570, 76, F25, 62) (dual of [76, 6, 63]-code) [i]Juxtaposition
2Linear OA(2570, 75, F25, 63) (dual of [75, 5, 64]-code) [i]
3Linear OA(2584, 89, F25, 76) (dual of [89, 5, 77]-code) [i]
4Linear OA(2584, 88, F25, 77) (dual of [88, 4, 78]-code) [i]
5Linear OA(2574, 79, F25, 67) (dual of [79, 5, 68]-code) [i]
6Linear OA(561, 75, F5, 37) (dual of [75, 14, 38]-code) [i]Concatenation of Two Codes
7Linear OA(560, 72, F5, 37) (dual of [72, 12, 38]-code) [i]
8Linear OA(559, 69, F5, 37) (dual of [69, 10, 38]-code) [i]
9Linear OA(586, 100, F5, 56) (dual of [100, 14, 57]-code) [i]
10Linear OA(584, 96, F5, 56) (dual of [96, 12, 57]-code) [i]
11Linear OA(582, 92, F5, 56) (dual of [92, 10, 57]-code) [i]
12Linear OA(5111, 125, F5, 75) (dual of [125, 14, 76]-code) [i]
13Linear OA(5108, 120, F5, 75) (dual of [120, 12, 76]-code) [i]
14Linear OA(5105, 115, F5, 75) (dual of [115, 10, 76]-code) [i]
15Linear OA(5136, 150, F5, 94) (dual of [150, 14, 95]-code) [i]
16Linear OA(5132, 144, F5, 94) (dual of [144, 12, 95]-code) [i]
17Linear OA(5128, 138, F5, 94) (dual of [138, 10, 95]-code) [i]
18Linear OA(5124, 132, F5, 94) (dual of [132, 8, 95]-code) [i]
19Linear OA(2521, 28, F25, 20) (dual of [28, 7, 21]-code) [i]✔Construction X with Reed–Solomon Codes
20Linear OA(2519, 28, F25, 18) (dual of [28, 9, 19]-code) [i]✔
21Linear OA(2523, 30, F25, 21) (dual of [30, 7, 22]-code) [i]✔
22Linear OA(2520, 30, F25, 18) (dual of [30, 10, 19]-code) [i]✔