Information on Result #693142

Linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(2557, 248359, F25, 2, 15) (dual of [(248359, 2), 496661, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (42, 57, 248359)-net over F25 [i]
3Linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code) [i]✔
5Linear OA(2571, 390639, F25, 18) (dual of [390639, 390568, 19]-code) [i]✔
6Linear OA(2559, 390639, F25, 15) (dual of [390639, 390580, 16]-code) [i]✔
7Linear OA(2581, 390649, F25, 20) (dual of [390649, 390568, 21]-code) [i]✔
8Linear OA(2561, 390649, F25, 15) (dual of [390649, 390588, 16]-code) [i]✔
9Linear OA(2594, 390662, F25, 22) (dual of [390662, 390568, 23]-code) [i]✔
10Linear OA(2566, 390662, F25, 15) (dual of [390662, 390596, 16]-code) [i]✔
11Linear OA(25104, 390672, F25, 24) (dual of [390672, 390568, 25]-code) [i]✔
12Linear OA(25110, 390677, F25, 26) (dual of [390677, 390567, 27]-code) [i]✔