Information on Result #605618

Linear OA(252, 3, F25, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,25)), using dual of repetition code with length 3

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(25108, 15652, F25, 29) (dual of [15652, 15544, 30]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(2596, 15649, F25, 26) (dual of [15649, 15553, 27]-code) [i]
3Linear OA(2584, 15646, F25, 22) (dual of [15646, 15562, 23]-code) [i]
4Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) [i]
5Linear OA(2556, 643, F25, 20) (dual of [643, 587, 21]-code) [i]
6Linear OA(2575, 15643, F25, 20) (dual of [15643, 15568, 21]-code) [i]
7Linear OA(2594, 390643, F25, 20) (dual of [390643, 390549, 21]-code) [i]
8Linear OA(2560, 15640, F25, 16) (dual of [15640, 15580, 17]-code) [i]
9Linear OA(2575, 390640, F25, 16) (dual of [390640, 390565, 17]-code) [i]
10Linear OA(2538, 637, F25, 14) (dual of [637, 599, 15]-code) [i]
11Linear OA(2551, 15637, F25, 14) (dual of [15637, 15586, 15]-code) [i]
12Linear OA(2564, 390637, F25, 14) (dual of [390637, 390573, 15]-code) [i]
13Linear OA(2536, 15634, F25, 10) (dual of [15634, 15598, 11]-code) [i]
14Linear OA(2545, 390634, F25, 10) (dual of [390634, 390589, 11]-code) [i]
15Linear OA(2527, 15631, F25, 8) (dual of [15631, 15604, 9]-code) [i](u, u−v, u+v+w)-Construction
16Linear OA(2534, 390631, F25, 8) (dual of [390631, 390597, 9]-code) [i]
17Linear OA(2515, 15629, F25, 5) (dual of [15629, 15614, 6]-code) [i]Construction X with Cyclic Codes
18Linear OA(2519, 390629, F25, 5) (dual of [390629, 390610, 6]-code) [i]
19Linear OA(259, 29, F25, 7) (dual of [29, 20, 8]-code) [i]
20Linear OA(2533, 39, F25, 23) (dual of [39, 6, 24]-code) [i]
21Linear OA(2534, 39, F25, 26) (dual of [39, 5, 27]-code) [i]
22Linear OA(2535, 39, F25, 29) (dual of [39, 4, 30]-code) [i]
23Linear OA(2543, 55, F25, 31) (dual of [55, 12, 32]-code) [i]
24Linear OA(2536, 39, F25, 32) (dual of [39, 3, 33]-code) [i]
25Linear OA(2562, 75, F25, 38) (dual of [75, 13, 39]-code) [i]
26Linear OA(2563, 75, F25, 41) (dual of [75, 12, 42]-code) [i]
27Linear OA(2564, 75, F25, 44) (dual of [75, 11, 45]-code) [i]
28Linear OA(2565, 75, F25, 47) (dual of [75, 10, 48]-code) [i]
29Linear OA(2561, 65, F25, 49) (dual of [65, 4, 50]-code) [i]
30Linear OA(2566, 75, F25, 50) (dual of [75, 9, 51]-code) [i]
31Linear OA(2567, 75, F25, 53) (dual of [75, 8, 54]-code) [i]
32Linear OA(2568, 75, F25, 56) (dual of [75, 7, 57]-code) [i]
33Linear OA(2569, 75, F25, 59) (dual of [75, 6, 60]-code) [i]
34Linear OA(2570, 75, F25, 62) (dual of [75, 5, 63]-code) [i]
35Linear OA(2571, 75, F25, 65) (dual of [75, 4, 66]-code) [i]
36Linear OA(2572, 75, F25, 68) (dual of [75, 3, 69]-code) [i]