Information on Result #616924

Linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound)

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(2578, 15652, F25, 23) (dual of [15652, 15574, 24]-code) [i](u, u+v)-Construction
2Linear OA(2579, 15655, F25, 23) (dual of [15655, 15576, 24]-code) [i]
3Linear OA(2580, 15657, F25, 23) (dual of [15657, 15577, 24]-code) [i]
4Linear OA(2581, 15678, F25, 23) (dual of [15678, 15597, 24]-code) [i]
5Linear OA(2582, 15692, F25, 23) (dual of [15692, 15610, 24]-code) [i]
6Linear OA(2583, 15694, F25, 23) (dual of [15694, 15611, 24]-code) [i]
7Linear OA(2584, 15696, F25, 23) (dual of [15696, 15612, 24]-code) [i]
8Linear OA(2585, 15698, F25, 23) (dual of [15698, 15613, 24]-code) [i]
9Linear OA(2586, 15730, F25, 23) (dual of [15730, 15644, 24]-code) [i]
10Linear OA(2587, 15834, F25, 23) (dual of [15834, 15747, 24]-code) [i]
11Linear OA(2588, 16252, F25, 23) (dual of [16252, 16164, 24]-code) [i]
12Linear OA(2588, 15650, F25, 23) (dual of [15650, 15562, 24]-code) [i]Generalized (u, u+v)-Construction
13Linear OA(2586, 15647, F25, 23) (dual of [15647, 15561, 24]-code) [i]
14Linear OA(2587, 15650, F25, 23) (dual of [15650, 15563, 24]-code) [i]
15Linear OA(2588, 15653, F25, 23) (dual of [15653, 15565, 24]-code) [i]
16Linear OA(2583, 15644, F25, 23) (dual of [15644, 15561, 24]-code) [i](u, u−v, u+v+w)-Construction
17Linear OA(2584, 15646, F25, 23) (dual of [15646, 15562, 24]-code) [i]
18Linear OA(2585, 15678, F25, 23) (dual of [15678, 15593, 24]-code) [i]
19Linear OA(2586, 15681, F25, 23) (dual of [15681, 15595, 24]-code) [i]
20Linear OA(2587, 15684, F25, 23) (dual of [15684, 15597, 24]-code) [i]
21Linear OA(2588, 15686, F25, 23) (dual of [15686, 15598, 24]-code) [i]
22Linear OA(2588, 15704, F25, 23) (dual of [15704, 15616, 24]-code) [i]
23Linear OA(2578, 15638, F25, 23) (dual of [15638, 15560, 24]-code) [i]✔Construction X with Cyclic Codes
24Linear OA(2574, 15633, F25, 25) (dual of [15633, 15559, 26]-code) [i]✔
25Linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code) [i]✔
26Linear OA(2582, 15641, F25, 27) (dual of [15641, 15559, 28]-code) [i]✔
27Linear OA(2570, 15641, F25, 23) (dual of [15641, 15571, 24]-code) [i]✔
28Linear OA(2590, 15649, F25, 29) (dual of [15649, 15559, 30]-code) [i]✔
29Linear OA(2572, 15649, F25, 23) (dual of [15649, 15577, 24]-code) [i]✔
30Linear OA(2598, 15652, F25, 31) (dual of [15652, 15554, 32]-code) [i]✔
31Linear OA(2599, 15655, F25, 31) (dual of [15655, 15556, 32]-code) [i]✔
32Linear OA(25100, 15657, F25, 31) (dual of [15657, 15557, 32]-code) [i]✔
33Linear OA(25101, 15660, F25, 31) (dual of [15660, 15559, 32]-code) [i]✔
34Linear OA(2597, 15652, F25, 30) (dual of [15652, 15555, 31]-code) [i]✔
35Linear OA(2598, 15655, F25, 30) (dual of [15655, 15557, 31]-code) [i]✔
36Linear OA(2599, 15657, F25, 30) (dual of [15657, 15558, 31]-code) [i]✔
37Linear OA(2574, 15652, F25, 23) (dual of [15652, 15578, 24]-code) [i]✔
38Linear OA(2575, 15655, F25, 23) (dual of [15655, 15580, 24]-code) [i]✔
39Linear OA(2576, 15657, F25, 23) (dual of [15657, 15581, 24]-code) [i]✔
40Linear OA(2577, 15660, F25, 23) (dual of [15660, 15583, 24]-code) [i]✔
41Linear OA(2573, 15652, F25, 22) (dual of [15652, 15579, 23]-code) [i]✔
42Linear OA(2574, 15655, F25, 22) (dual of [15655, 15581, 23]-code) [i]✔
43Linear OA(2575, 15657, F25, 22) (dual of [15657, 15582, 23]-code) [i]✔
44Linear OA(25109, 15668, F25, 33) (dual of [15668, 15559, 34]-code) [i]✔
45Linear OA(2579, 15668, F25, 23) (dual of [15668, 15589, 24]-code) [i]✔