Information on Result #693130

Linear OA(2589, 390625, F25, 23) (dual of [390625, 390536, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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 OOA(2589, 260794, F25, 2, 23) (dual of [(260794, 2), 521499, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (66, 89, 260794)-net over F25 [i]
3Linear OA(2593, 390629, F25, 24) (dual of [390629, 390536, 25]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2589, 390629, F25, 23) (dual of [390629, 390540, 24]-code) [i]✔
5Linear OA(2599, 390635, F25, 26) (dual of [390635, 390536, 27]-code) [i]✔
6Linear OA(25104, 390640, F25, 27) (dual of [390640, 390536, 28]-code) [i]✔
7Linear OA(2591, 390639, F25, 23) (dual of [390639, 390548, 24]-code) [i]✔
8Linear OA(25109, 390645, F25, 28) (dual of [390645, 390536, 29]-code) [i]✔
9Linear OA(2593, 390649, F25, 23) (dual of [390649, 390556, 24]-code) [i]✔
10Linear OA(2598, 390662, F25, 23) (dual of [390662, 390564, 24]-code) [i]✔
11Linear OA(25100, 390672, F25, 23) (dual of [390672, 390572, 24]-code) [i]✔
12Linear OA(25103, 390683, F25, 23) (dual of [390683, 390580, 24]-code) [i]✔
13Linear OOA(2589, 35511, F25, 23, 23) (dual of [(35511, 23), 816664, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row