Information on Result #606392

Linear OA(2519, 25, F25, 19) (dual of [25, 6, 20]-code or 25-arc in PG(18,25)), using Reed–Solomon code RS(6,25)

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(25107, 110, F25, 99) (dual of [110, 3, 100]-code) [i]Repeating Each Code Word
2Linear OA(2571, 77, F25, 63) (dual of [77, 6, 64]-code) [i]Juxtaposition
3Linear OA(2571, 76, F25, 64) (dual of [76, 5, 65]-code) [i]
4Linear OA(2585, 90, F25, 77) (dual of [90, 5, 78]-code) [i]
5Linear OA(2585, 89, F25, 78) (dual of [89, 4, 79]-code) [i]
6Linear OA(2575, 80, F25, 68) (dual of [80, 5, 69]-code) [i]
7Linear OA(2575, 79, F25, 69) (dual of [79, 4, 70]-code) [i]
8Linear OA(2591, 95, F25, 83) (dual of [95, 4, 84]-code) [i]
9Linear OA(2555, 58, F25, 52) (dual of [58, 3, 53]-code) [i]
10Linear OA(563, 75, F5, 39) (dual of [75, 12, 40]-code) [i]Concatenation of Two Codes
11Linear OA(562, 72, F5, 39) (dual of [72, 10, 40]-code) [i]
12Linear OA(561, 69, F5, 39) (dual of [69, 8, 40]-code) [i]
13Linear OA(588, 100, F5, 59) (dual of [100, 12, 60]-code) [i]
14Linear OA(586, 96, F5, 59) (dual of [96, 10, 60]-code) [i]
15Linear OA(5113, 125, F5, 79) (dual of [125, 12, 80]-code) [i]
16Linear OA(5110, 120, F5, 79) (dual of [120, 10, 80]-code) [i]
17Linear OA(5138, 150, F5, 99) (dual of [150, 12, 100]-code) [i]
18Linear OA(5134, 144, F5, 99) (dual of [144, 10, 100]-code) [i]
19Linear OA(5130, 138, F5, 99) (dual of [138, 8, 100]-code) [i]
20Linear OA(5126, 132, F5, 99) (dual of [132, 6, 100]-code) [i]
21Linear OA(2522, 28, F25, 21) (dual of [28, 6, 22]-code) [i]✔Construction X with Reed–Solomon Codes
22Linear OA(2520, 28, F25, 19) (dual of [28, 8, 20]-code) [i]✔
23Linear OA(2524, 30, F25, 22) (dual of [30, 6, 23]-code) [i]✔
24Linear OA(2521, 30, F25, 19) (dual of [30, 9, 20]-code) [i]✔