Information on Result #693136

Linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19

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(2573, 249119, F25, 2, 19) (dual of [(249119, 2), 498165, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (54, 73, 249119)-net over F25 [i]
3Linear OA(2577, 390629, F25, 20) (dual of [390629, 390552, 21]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(2573, 390629, F25, 19) (dual of [390629, 390556, 20]-code) [i]✔
5Linear OA(2587, 390639, F25, 22) (dual of [390639, 390552, 23]-code) [i]✔
6Linear OA(2575, 390639, F25, 19) (dual of [390639, 390564, 20]-code) [i]✔
7Linear OA(2597, 390649, F25, 24) (dual of [390649, 390552, 25]-code) [i]✔
8Linear OA(2577, 390649, F25, 19) (dual of [390649, 390572, 20]-code) [i]✔
9Linear OA(25104, 390654, F25, 26) (dual of [390654, 390550, 27]-code) [i]✔
10Linear OA(25105, 390656, F25, 26) (dual of [390656, 390551, 27]-code) [i]✔
11Linear OA(25106, 390658, F25, 26) (dual of [390658, 390552, 27]-code) [i]✔
12Linear OA(2582, 390662, F25, 19) (dual of [390662, 390580, 20]-code) [i]✔
13Linear OA(2584, 390672, F25, 19) (dual of [390672, 390588, 20]-code) [i]✔
14Linear OA(25104, 390656, F25, 26) (dual of [390656, 390552, 27]-code) [i]✔
15Linear OA(25109, 390661, F25, 27) (dual of [390661, 390552, 28]-code) [i]✔
16Linear OA(25103, 390652, F25, 26) (dual of [390652, 390549, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes