Information on Result #616846

Linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18

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, 390651, F25, 18) (dual of [390651, 390573, 19]-code) [i](u, u+v)-Construction
2Linear OA(2579, 390654, F25, 18) (dual of [390654, 390575, 19]-code) [i]
3Linear OA(2580, 390656, F25, 18) (dual of [390656, 390576, 19]-code) [i]
4Linear OA(2581, 390677, F25, 18) (dual of [390677, 390596, 19]-code) [i]
5Linear OA(2582, 390691, F25, 18) (dual of [390691, 390609, 19]-code) [i]
6Linear OA(2583, 390693, F25, 18) (dual of [390693, 390610, 19]-code) [i]
7Linear OA(2584, 390729, F25, 18) (dual of [390729, 390645, 19]-code) [i]
8Linear OA(2585, 390833, F25, 18) (dual of [390833, 390748, 19]-code) [i]
9Linear OA(2584, 390641, F25, 18) (dual of [390641, 390557, 19]-code) [i]Generalized (u, u+v)-Construction
10Linear OA(2583, 390640, F25, 18) (dual of [390640, 390557, 19]-code) [i]
11Linear OA(2585, 390643, F25, 18) (dual of [390643, 390558, 19]-code) [i]
12Linear OOA(2569, 247491, F25, 2, 18) (dual of [(247491, 2), 494913, 19]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
13Digital (51, 69, 247491)-net over F25 [i]
14Linear OA(2582, 390639, F25, 18) (dual of [390639, 390557, 19]-code) [i](u, u−v, u+v+w)-Construction
15Linear OA(2583, 390641, F25, 18) (dual of [390641, 390558, 19]-code) [i]
16Linear OA(2584, 390677, F25, 18) (dual of [390677, 390593, 19]-code) [i]
17Linear OA(2585, 390680, F25, 18) (dual of [390680, 390595, 19]-code) [i]
18Linear OA(2573, 390629, F25, 19) (dual of [390629, 390556, 20]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
19Linear OA(2569, 390629, F25, 18) (dual of [390629, 390560, 19]-code) [i]✔
20Linear OA(2578, 390634, F25, 20) (dual of [390634, 390556, 21]-code) [i]✔
21Linear OA(2570, 390634, F25, 18) (dual of [390634, 390564, 19]-code) [i]✔
22Linear OA(2583, 390639, F25, 21) (dual of [390639, 390556, 22]-code) [i]✔
23Linear OA(2571, 390639, F25, 18) (dual of [390639, 390568, 19]-code) [i]✔
24Linear OA(2588, 390644, F25, 22) (dual of [390644, 390556, 23]-code) [i]✔
25Linear OA(2572, 390644, F25, 18) (dual of [390644, 390572, 19]-code) [i]✔
26Linear OA(2593, 390649, F25, 23) (dual of [390649, 390556, 24]-code) [i]✔
27Linear OA(2573, 390649, F25, 18) (dual of [390649, 390576, 19]-code) [i]✔
28Linear OA(2598, 390651, F25, 24) (dual of [390651, 390553, 25]-code) [i]✔
29Linear OA(2599, 390654, F25, 24) (dual of [390654, 390555, 25]-code) [i]✔
30Linear OA(25100, 390656, F25, 24) (dual of [390656, 390556, 25]-code) [i]✔
31Linear OA(2574, 390651, F25, 18) (dual of [390651, 390577, 19]-code) [i]✔
32Linear OA(2575, 390654, F25, 18) (dual of [390654, 390579, 19]-code) [i]✔
33Linear OA(2576, 390656, F25, 18) (dual of [390656, 390580, 19]-code) [i]✔
34Linear OA(25107, 390663, F25, 26) (dual of [390663, 390556, 27]-code) [i]✔
35Linear OA(2578, 390662, F25, 18) (dual of [390662, 390584, 19]-code) [i]✔
36Linear OA(2579, 390667, F25, 18) (dual of [390667, 390588, 19]-code) [i]✔
37Linear OA(2580, 390672, F25, 18) (dual of [390672, 390592, 19]-code) [i]✔
38Linear OA(25105, 390661, F25, 26) (dual of [390661, 390556, 27]-code) [i]✔