Information on Result #616904

Linear OA(2585, 390625, F25, 22) (dual of [390625, 390540, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(2596, 390651, F25, 22) (dual of [390651, 390555, 23]-code) [i](u, u+v)-Construction
2Linear OA(2597, 390654, F25, 22) (dual of [390654, 390557, 23]-code) [i]
3Linear OA(2598, 390656, F25, 22) (dual of [390656, 390558, 23]-code) [i]
4Linear OA(2599, 390677, F25, 22) (dual of [390677, 390578, 23]-code) [i]
5Linear OA(25100, 390691, F25, 22) (dual of [390691, 390591, 23]-code) [i]
6Linear OA(25101, 390693, F25, 22) (dual of [390693, 390592, 23]-code) [i]
7Linear OA(25102, 390695, F25, 22) (dual of [390695, 390593, 23]-code) [i]
8Linear OA(25103, 390697, F25, 22) (dual of [390697, 390594, 23]-code) [i]
9Linear OA(25104, 390729, F25, 22) (dual of [390729, 390625, 23]-code) [i]
10Linear OA(25105, 390833, F25, 22) (dual of [390833, 390728, 23]-code) [i]
11Linear OA(25105, 390646, F25, 22) (dual of [390646, 390541, 23]-code) [i]Generalized (u, u+v)-Construction
12Linear OA(25104, 390645, F25, 22) (dual of [390645, 390541, 23]-code) [i]
13Linear OA(25102, 390643, F25, 22) (dual of [390643, 390541, 23]-code) [i]
14Linear OA(25104, 390646, F25, 22) (dual of [390646, 390542, 23]-code) [i]
15Linear OA(25105, 390649, F25, 22) (dual of [390649, 390544, 23]-code) [i]
16Linear OOA(2585, 257292, F25, 2, 22) (dual of [(257292, 2), 514499, 23]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
17Digital (63, 85, 257292)-net over F25 [i]
18Linear OA(25100, 390641, F25, 22) (dual of [390641, 390541, 23]-code) [i](u, u−v, u+v+w)-Construction
19Linear OA(25101, 390643, F25, 22) (dual of [390643, 390542, 23]-code) [i]
20Linear OA(25102, 390645, F25, 22) (dual of [390645, 390543, 23]-code) [i]
21Linear OA(25103, 390677, F25, 22) (dual of [390677, 390574, 23]-code) [i]
22Linear OA(25104, 390680, F25, 22) (dual of [390680, 390576, 23]-code) [i]
23Linear OA(25105, 390683, F25, 22) (dual of [390683, 390578, 23]-code) [i]
24Linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
25Linear OA(2585, 390629, F25, 22) (dual of [390629, 390544, 23]-code) [i]✔
26Linear OA(2594, 390634, F25, 24) (dual of [390634, 390540, 25]-code) [i]✔
27Linear OA(2586, 390634, F25, 22) (dual of [390634, 390548, 23]-code) [i]✔
28Linear OA(25100, 390640, F25, 26) (dual of [390640, 390540, 27]-code) [i]✔
29Linear OA(2587, 390639, F25, 22) (dual of [390639, 390552, 23]-code) [i]✔
30Linear OA(25105, 390645, F25, 27) (dual of [390645, 390540, 28]-code) [i]✔
31Linear OA(2588, 390644, F25, 22) (dual of [390644, 390556, 23]-code) [i]✔
32Linear OA(25110, 390650, F25, 28) (dual of [390650, 390540, 29]-code) [i]✔
33Linear OA(2589, 390649, F25, 22) (dual of [390649, 390560, 23]-code) [i]✔
34Linear OA(2590, 390651, F25, 22) (dual of [390651, 390561, 23]-code) [i]✔
35Linear OA(2591, 390654, F25, 22) (dual of [390654, 390563, 23]-code) [i]✔
36Linear OA(2592, 390656, F25, 22) (dual of [390656, 390564, 23]-code) [i]✔
37Linear OA(2594, 390662, F25, 22) (dual of [390662, 390568, 23]-code) [i]✔
38Linear OA(2595, 390667, F25, 22) (dual of [390667, 390572, 23]-code) [i]✔
39Linear OA(2596, 390672, F25, 22) (dual of [390672, 390576, 23]-code) [i]✔
40Linear OA(2597, 390677, F25, 22) (dual of [390677, 390580, 23]-code) [i]✔
41Linear OA(2599, 390683, F25, 22) (dual of [390683, 390584, 23]-code) [i]✔
42Linear OOA(2585, 35511, F25, 22, 22) (dual of [(35511, 22), 781157, 23]-NRT-code) [i]OA Folding and Stacking