Information on Result #609760

Linear OA(253, 26, F25, 3) (dual of [26, 23, 4]-code or 26-arc in PG(2,25) or 26-cap in PG(2,25)), using oval in PG(2, 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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2516, 652, F25, 7) (dual of [652, 636, 8]-code) [i](u, u+v)-Construction
2Linear OA(2522, 15652, F25, 7) (dual of [15652, 15630, 8]-code) [i]
3Linear OA(2528, 390652, F25, 7) (dual of [390652, 390624, 8]-code) [i]
4Linear OA(2514, 651, F25, 6) (dual of [651, 637, 7]-code) [i]
5Linear OA(2519, 15651, F25, 6) (dual of [15651, 15632, 7]-code) [i]
6Linear OA(2524, 390651, F25, 6) (dual of [390651, 390627, 7]-code) [i]
7Linear OA(2516, 654, F25, 7) (dual of [654, 638, 8]-code) [i]
8Linear OA(2522, 15654, F25, 7) (dual of [15654, 15632, 8]-code) [i]
9Linear OA(2528, 390655, F25, 7) (dual of [390655, 390627, 8]-code) [i]
10Linear OA(2514, 654, F25, 6) (dual of [654, 640, 7]-code) [i]
11Linear OA(2519, 15654, F25, 6) (dual of [15654, 15635, 7]-code) [i]
12Linear OA(2524, 390655, F25, 6) (dual of [390655, 390631, 7]-code) [i]
13Linear OA(2529, 650, F25, 11) (dual of [650, 621, 12]-code) [i]Generalized (u, u+v)-Construction
14Linear OA(2523, 650, F25, 9) (dual of [650, 627, 10]-code) [i]
15Linear OA(2516, 650, F25, 7) (dual of [650, 634, 8]-code) [i]
16Linear OA(2517, 653, F25, 7) (dual of [653, 636, 8]-code) [i]
17Linear OA(2514, 650, F25, 6) (dual of [650, 636, 7]-code) [i]
18Linear OA(2529, 678, F25, 11) (dual of [678, 649, 12]-code) [i](u, u−v, u+v+w)-Construction
19Linear OA(2539, 15678, F25, 11) (dual of [15678, 15639, 12]-code) [i]
20Linear OA(2540, 15681, F25, 11) (dual of [15681, 15641, 12]-code) [i]
21Linear OA(2549, 390678, F25, 11) (dual of [390678, 390629, 12]-code) [i]
22Linear OA(2550, 390681, F25, 11) (dual of [390681, 390631, 12]-code) [i]
23Linear OA(2536, 15677, F25, 10) (dual of [15677, 15641, 11]-code) [i]
24Linear OA(2545, 390677, F25, 10) (dual of [390677, 390632, 11]-code) [i]
25Linear OA(2532, 15678, F25, 9) (dual of [15678, 15646, 10]-code) [i]
26Linear OA(2540, 390678, F25, 9) (dual of [390678, 390638, 10]-code) [i]
27Linear OA(2524, 15678, F25, 7) (dual of [15678, 15654, 8]-code) [i]
28Linear OA(2530, 390678, F25, 7) (dual of [390678, 390648, 8]-code) [i]